Find the critical value t α 2 to construct a confidence interval for the given level and sample size .

Question

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Answer 1

Question

Chapter 7.2, Problem 12E

a.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

a.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 95% and sample size 15 is 2.015.

Explanation of Solution

Calculation:

The given information is that, the level is 90% and the sample size is 6.

Conditions:

When the required degrees of freedom is less than 200 and not listed in the degrees of freedom column of the Table A.3, then choose the next smaller number in the table.
When the required degrees of freedom is, greater than 200, then use the z-value in the bottom row of Table A.3 otherwise use Table A.2.

Here the significance level is 0.10 and the degrees of freedom is 5 $(=6−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.102=t0.05$

Critical value for $t0.05$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 5 in the first column of the table.
Locate the value 0.05 in the first row of the table.
The intersecting value of row and column is 2.015.

Thus, the critical value $tα2$ to construct a confidence interval for the level 90% and sample size 6 is 2.015.

b.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

b.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 90% and sample size 3 is 2.718.

Explanation of Solution

Calculation:

The given information is that, the level is 98% and the sample size is 12.

Here, the significance level is 0.02 and the degrees of freedom is 11 $(=12−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.022=t0.01$

Critical value for $t0.01$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 11 in the first column of the table.
Locate the value 0.01 in the first row of the table.
The intersecting value of row and column is 2.718.

Thus, the critical value $tα2$ to construct a confidence interval for the level 98% and sample size 12 is 2.718.

c.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

c.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 95%and sample size 32 is 2.040.

Explanation of Solution

Calculation:

The given information is that, the level is 95% and the sample size is 32.

The significance level is 0.05 and the degrees of freedom is 31 $(=32−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.052=t0.025$

Critical value for $t0.025$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 31 in the first column of the table.
Locate the value 0.025 in the first row of the table.
The intersecting value of row and column is 2.040.

Thus, the critical value $tα2$ to construct a confidence interval for the level 95%and sample size 32 is 2.040.

d.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

d.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 99% and sample size 10 is 3.250.

Explanation of Solution

Calculation:

The given information is that, the level is 99% and the sample size is 10.

Here the significance level is 0.01 and the degrees of freedom is 9 $(=10−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.012=t0.005$

Critical value for $t0.005$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 9 in the first column of the table.
Locate the value 0.005 in the first row of the table.
The intersecting value of row and column is 3.250.

Thus, the critical value $tα2$ to construct a confidence interval for the level 99% and sample size 10 is 3.250.

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I just need to know why this is wrong below: What is the test statistic W? W=5 (incorrect) and What is the p-value of this test? (p-value < 0.001-- incorrect) Use the Wilcoxon signed rank test to test the hypothesis that the median number of pages in the statistics books in the library from which the sample was taken is 400. A sample of 12 statistics books have the following numbers of pages pages 127 217 486 132 397 297 396 327 292 256 358 272 What is the sum of the negative ranks (W-)? 75 What is the sum of the positive ranks (W+)? 5What type of test is this? two tailedWhat is the test statistic W? 5 These are the critical values for a 1-tailed Wilcoxon Signed Rank test for n=12 Alpha Level 0.001 0.005 0.01 0.025 0.05 0.1 0.2 Critical Value 75 70 68 64 60 56 50 What is the p-value for this test? p-value < 0.001

Answer 2

Question

Chapter 7.2, Problem 12E

a.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

a.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 95% and sample size 15 is 2.015.

Explanation of Solution

Calculation:

The given information is that, the level is 90% and the sample size is 6.

Conditions:

When the required degrees of freedom is less than 200 and not listed in the degrees of freedom column of the Table A.3, then choose the next smaller number in the table.
When the required degrees of freedom is, greater than 200, then use the z-value in the bottom row of Table A.3 otherwise use Table A.2.

Here the significance level is 0.10 and the degrees of freedom is 5 $(=6−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.102=t0.05$

Critical value for $t0.05$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 5 in the first column of the table.
Locate the value 0.05 in the first row of the table.
The intersecting value of row and column is 2.015.

Thus, the critical value $tα2$ to construct a confidence interval for the level 90% and sample size 6 is 2.015.

b.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

b.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 90% and sample size 3 is 2.718.

Explanation of Solution

Calculation:

The given information is that, the level is 98% and the sample size is 12.

Here, the significance level is 0.02 and the degrees of freedom is 11 $(=12−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.022=t0.01$

Critical value for $t0.01$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 11 in the first column of the table.
Locate the value 0.01 in the first row of the table.
The intersecting value of row and column is 2.718.

Thus, the critical value $tα2$ to construct a confidence interval for the level 98% and sample size 12 is 2.718.

c.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

c.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 95%and sample size 32 is 2.040.

Explanation of Solution

Calculation:

The given information is that, the level is 95% and the sample size is 32.

The significance level is 0.05 and the degrees of freedom is 31 $(=32−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.052=t0.025$

Critical value for $t0.025$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 31 in the first column of the table.
Locate the value 0.025 in the first row of the table.
The intersecting value of row and column is 2.040.

Thus, the critical value $tα2$ to construct a confidence interval for the level 95%and sample size 32 is 2.040.

d.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

d.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 99% and sample size 10 is 3.250.

Explanation of Solution

Calculation:

The given information is that, the level is 99% and the sample size is 10.

Here the significance level is 0.01 and the degrees of freedom is 9 $(=10−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.012=t0.005$

Critical value for $t0.005$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 9 in the first column of the table.
Locate the value 0.005 in the first row of the table.
The intersecting value of row and column is 3.250.

Thus, the critical value $tα2$ to construct a confidence interval for the level 99% and sample size 10 is 3.250.

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Answer 3

Question

Chapter 7.2, Problem 12E

a.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

a.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 95% and sample size 15 is 2.015.

Explanation of Solution

Calculation:

The given information is that, the level is 90% and the sample size is 6.

Conditions:

When the required degrees of freedom is less than 200 and not listed in the degrees of freedom column of the Table A.3, then choose the next smaller number in the table.
When the required degrees of freedom is, greater than 200, then use the z-value in the bottom row of Table A.3 otherwise use Table A.2.

Here the significance level is 0.10 and the degrees of freedom is 5 $(=6−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.102=t0.05$

Critical value for $t0.05$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 5 in the first column of the table.
Locate the value 0.05 in the first row of the table.
The intersecting value of row and column is 2.015.

Thus, the critical value $tα2$ to construct a confidence interval for the level 90% and sample size 6 is 2.015.

b.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

b.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 90% and sample size 3 is 2.718.

Explanation of Solution

Calculation:

The given information is that, the level is 98% and the sample size is 12.

Here, the significance level is 0.02 and the degrees of freedom is 11 $(=12−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.022=t0.01$

Critical value for $t0.01$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 11 in the first column of the table.
Locate the value 0.01 in the first row of the table.
The intersecting value of row and column is 2.718.

Thus, the critical value $tα2$ to construct a confidence interval for the level 98% and sample size 12 is 2.718.

c.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

c.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 95%and sample size 32 is 2.040.

Explanation of Solution

Calculation:

The given information is that, the level is 95% and the sample size is 32.

The significance level is 0.05 and the degrees of freedom is 31 $(=32−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.052=t0.025$

Critical value for $t0.025$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 31 in the first column of the table.
Locate the value 0.025 in the first row of the table.
The intersecting value of row and column is 2.040.

Thus, the critical value $tα2$ to construct a confidence interval for the level 95%and sample size 32 is 2.040.

d.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

d.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 99% and sample size 10 is 3.250.

Explanation of Solution

Calculation:

The given information is that, the level is 99% and the sample size is 10.

Here the significance level is 0.01 and the degrees of freedom is 9 $(=10−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.012=t0.005$

Critical value for $t0.005$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 9 in the first column of the table.
Locate the value 0.005 in the first row of the table.
The intersecting value of row and column is 3.250.

Thus, the critical value $tα2$ to construct a confidence interval for the level 99% and sample size 10 is 3.250.

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Answer 4

Question

Chapter 7.2, Problem 12E

a.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

a.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 95% and sample size 15 is 2.015.

Explanation of Solution

Calculation:

The given information is that, the level is 90% and the sample size is 6.

Conditions:

When the required degrees of freedom is less than 200 and not listed in the degrees of freedom column of the Table A.3, then choose the next smaller number in the table.
When the required degrees of freedom is, greater than 200, then use the z-value in the bottom row of Table A.3 otherwise use Table A.2.

Here the significance level is 0.10 and the degrees of freedom is 5 $(=6−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.102=t0.05$

Critical value for $t0.05$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 5 in the first column of the table.
Locate the value 0.05 in the first row of the table.
The intersecting value of row and column is 2.015.

Thus, the critical value $tα2$ to construct a confidence interval for the level 90% and sample size 6 is 2.015.

b.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

b.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 90% and sample size 3 is 2.718.

Explanation of Solution

Calculation:

The given information is that, the level is 98% and the sample size is 12.

Here, the significance level is 0.02 and the degrees of freedom is 11 $(=12−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.022=t0.01$

Critical value for $t0.01$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 11 in the first column of the table.
Locate the value 0.01 in the first row of the table.
The intersecting value of row and column is 2.718.

Thus, the critical value $tα2$ to construct a confidence interval for the level 98% and sample size 12 is 2.718.

c.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

c.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 95%and sample size 32 is 2.040.

Explanation of Solution

Calculation:

The given information is that, the level is 95% and the sample size is 32.

The significance level is 0.05 and the degrees of freedom is 31 $(=32−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.052=t0.025$

Critical value for $t0.025$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 31 in the first column of the table.
Locate the value 0.025 in the first row of the table.
The intersecting value of row and column is 2.040.

Thus, the critical value $tα2$ to construct a confidence interval for the level 95%and sample size 32 is 2.040.

d.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

d.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 99% and sample size 10 is 3.250.

Explanation of Solution

Calculation:

The given information is that, the level is 99% and the sample size is 10.

Here the significance level is 0.01 and the degrees of freedom is 9 $(=10−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.012=t0.005$

Critical value for $t0.005$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 9 in the first column of the table.
Locate the value 0.005 in the first row of the table.
The intersecting value of row and column is 3.250.

Thus, the critical value $tα2$ to construct a confidence interval for the level 99% and sample size 10 is 3.250.

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Answer 5

Chapter 7.2, Problem 12E

a.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

a.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 95% and sample size 15 is 2.015.

Explanation of Solution

Calculation:

The given information is that, the level is 90% and the sample size is 6.

Conditions:

When the required degrees of freedom is less than 200 and not listed in the degrees of freedom column of the Table A.3, then choose the next smaller number in the table.
When the required degrees of freedom is, greater than 200, then use the z-value in the bottom row of Table A.3 otherwise use Table A.2.

Here the significance level is 0.10 and the degrees of freedom is 5 $(=6−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.102=t0.05$

Critical value for $t0.05$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 5 in the first column of the table.
Locate the value 0.05 in the first row of the table.
The intersecting value of row and column is 2.015.

Thus, the critical value $tα2$ to construct a confidence interval for the level 90% and sample size 6 is 2.015.

b.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

b.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 90% and sample size 3 is 2.718.

Explanation of Solution

Calculation:

The given information is that, the level is 98% and the sample size is 12.

Here, the significance level is 0.02 and the degrees of freedom is 11 $(=12−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.022=t0.01$

Critical value for $t0.01$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 11 in the first column of the table.
Locate the value 0.01 in the first row of the table.
The intersecting value of row and column is 2.718.

Thus, the critical value $tα2$ to construct a confidence interval for the level 98% and sample size 12 is 2.718.

c.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

c.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 95%and sample size 32 is 2.040.

Explanation of Solution

Calculation:

The given information is that, the level is 95% and the sample size is 32.

The significance level is 0.05 and the degrees of freedom is 31 $(=32−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.052=t0.025$

Critical value for $t0.025$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 31 in the first column of the table.
Locate the value 0.025 in the first row of the table.
The intersecting value of row and column is 2.040.

Thus, the critical value $tα2$ to construct a confidence interval for the level 95%and sample size 32 is 2.040.

d.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

d.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 99% and sample size 10 is 3.250.

Explanation of Solution

Calculation:

The given information is that, the level is 99% and the sample size is 10.

Here the significance level is 0.01 and the degrees of freedom is 9 $(=10−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.012=t0.005$

Critical value for $t0.005$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 9 in the first column of the table.
Locate the value 0.005 in the first row of the table.
The intersecting value of row and column is 3.250.

Thus, the critical value $tα2$ to construct a confidence interval for the level 99% and sample size 10 is 3.250.

Answer 6

Chapter 7.2, Problem 12E

a.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

a.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 95% and sample size 15 is 2.015.

Explanation of Solution

Calculation:

The given information is that, the level is 90% and the sample size is 6.

Conditions:

When the required degrees of freedom is less than 200 and not listed in the degrees of freedom column of the Table A.3, then choose the next smaller number in the table.
When the required degrees of freedom is, greater than 200, then use the z-value in the bottom row of Table A.3 otherwise use Table A.2.

Here the significance level is 0.10 and the degrees of freedom is 5 $(=6−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.102=t0.05$

Critical value for $t0.05$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 5 in the first column of the table.
Locate the value 0.05 in the first row of the table.
The intersecting value of row and column is 2.015.

Thus, the critical value $tα2$ to construct a confidence interval for the level 90% and sample size 6 is 2.015.

Answer 7

Chapter 7.2, Problem 12E

a.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

Answer 8

a.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 95% and sample size 15 is 2.015.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Calculation:

The given information is that, the level is 90% and the sample size is 6.

Conditions:

When the required degrees of freedom is less than 200 and not listed in the degrees of freedom column of the Table A.3, then choose the next smaller number in the table.
When the required degrees of freedom is, greater than 200, then use the z-value in the bottom row of Table A.3 otherwise use Table A.2.

Here the significance level is 0.10 and the degrees of freedom is 5 $(=6−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.102=t0.05$

Critical value for $t0.05$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 5 in the first column of the table.
Locate the value 0.05 in the first row of the table.
The intersecting value of row and column is 2.015.

Thus, the critical value $tα2$ to construct a confidence interval for the level 90% and sample size 6 is 2.015.

Answer 13

b.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

b.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 90% and sample size 3 is 2.718.

Explanation of Solution

Calculation:

The given information is that, the level is 98% and the sample size is 12.

Here, the significance level is 0.02 and the degrees of freedom is 11 $(=12−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.022=t0.01$

Critical value for $t0.01$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 11 in the first column of the table.
Locate the value 0.01 in the first row of the table.
The intersecting value of row and column is 2.718.

Thus, the critical value $tα2$ to construct a confidence interval for the level 98% and sample size 12 is 2.718.

Answer 14

b.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

Answer 15

b.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 90% and sample size 3 is 2.718.

Answer 16

b.

Expert Solution

Answer 17

b.

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

Calculation:

The given information is that, the level is 98% and the sample size is 12.

Here, the significance level is 0.02 and the degrees of freedom is 11 $(=12−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.022=t0.01$

Critical value for $t0.01$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 11 in the first column of the table.
Locate the value 0.01 in the first row of the table.
The intersecting value of row and column is 2.718.

Thus, the critical value $tα2$ to construct a confidence interval for the level 98% and sample size 12 is 2.718.

Answer 20

c.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

c.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 95%and sample size 32 is 2.040.

Explanation of Solution

Calculation:

The given information is that, the level is 95% and the sample size is 32.

The significance level is 0.05 and the degrees of freedom is 31 $(=32−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.052=t0.025$

Critical value for $t0.025$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 31 in the first column of the table.
Locate the value 0.025 in the first row of the table.
The intersecting value of row and column is 2.040.

Thus, the critical value $tα2$ to construct a confidence interval for the level 95%and sample size 32 is 2.040.

Answer 21

c.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

Answer 22

c.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 95%and sample size 32 is 2.040.

Answer 23

c.

Expert Solution

Answer 24

c.

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

Calculation:

The given information is that, the level is 95% and the sample size is 32.

The significance level is 0.05 and the degrees of freedom is 31 $(=32−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.052=t0.025$

Critical value for $t0.025$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 31 in the first column of the table.
Locate the value 0.025 in the first row of the table.
The intersecting value of row and column is 2.040.

Thus, the critical value $tα2$ to construct a confidence interval for the level 95%and sample size 32 is 2.040.

Answer 27

d.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

d.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 99% and sample size 10 is 3.250.

Explanation of Solution

Calculation:

The given information is that, the level is 99% and the sample size is 10.

Here the significance level is 0.01 and the degrees of freedom is 9 $(=10−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.012=t0.005$

Critical value for $t0.005$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 9 in the first column of the table.
Locate the value 0.005 in the first row of the table.
The intersecting value of row and column is 3.250.

Thus, the critical value $tα2$ to construct a confidence interval for the level 99% and sample size 10 is 3.250.

Answer 28

d.

To determine

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

Answer 29

d.

Expert Solution

Answer to Problem 12E

The critical value $tα2$ to construct a confidence interval for the level 99% and sample size 10 is 3.250.

Answer 30

d.

Expert Solution

Answer 31

d.

Expert Solution

Answer 32

Expert Solution

Answer 33

Explanation of Solution

Calculation:

The given information is that, the level is 99% and the sample size is 10.

Here the significance level is 0.01 and the degrees of freedom is 9 $(=10−1)$ .

For two-tailed test, the $tα2$ is

$tα2=t0.012=t0.005$

Critical value for $t0.005$ :

From Table A.3: Critical Values for the Student’s t Distribution

Locate the value 9 in the first column of the table.
Locate the value 0.005 in the first row of the table.
The intersecting value of row and column is 3.250.

Thus, the critical value $tα2$ to construct a confidence interval for the level 99% and sample size 10 is 3.250.

Answer 34

Ch. 7.1 - Prob. 1CYU Ch. 7.1 - Prob. 2CYU Ch. 7.1 - Prob. 3CYU Ch. 7.1 - Prob. 4CYU Ch. 7.1 - Prob. 5CYU Ch. 7.1 - Prob. 6CYU Ch. 7.1 - Prob. 7CYU Ch. 7.1 - Prob. 8CYU Ch. 7.1 - Prob. 9CYU Ch. 7.1 - 10. Using the output in Exercise 9: Find the...

Find the critical value t α 2 to construct a confidence interval for the given level and sample size .

Concept explainers

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Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

Answer to Problem 12E

Explanation of Solution

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

Answer to Problem 12E

Explanation of Solution

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

Answer to Problem 12E

Explanation of Solution

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

Answer to Problem 12E

Explanation of Solution

Want to see more full solutions like this?

Chapter 7 Solutions

Find the critical value t α 2 to construct a confidence interval for the given level and sample size .

Concept explainers

Videos

Find the critical value tα2<m:math><m:mrow><m:msub><m:mi>t</m:mi><m:mrow><m:mfrac><m:mi>α</m:mi><m:mn>2</m:mn></m:mfrac></m:mrow></m:msub></m:mrow></m:math> to construct a confidence interval for the given level and sample size.

Answer to Problem 12E

Explanation of Solution

Find the critical value tα2<m:math><m:mrow><m:msub><m:mi>t</m:mi><m:mrow><m:mfrac><m:mi>α</m:mi><m:mn>2</m:mn></m:mfrac></m:mrow></m:msub></m:mrow></m:math> to construct a confidence interval for the given level and sample size.

Answer to Problem 12E

Explanation of Solution

Find the critical value tα2<m:math><m:mrow><m:msub><m:mi>t</m:mi><m:mrow><m:mfrac><m:mi>α</m:mi><m:mn>2</m:mn></m:mfrac></m:mrow></m:msub></m:mrow></m:math> to construct a confidence interval for the given level and sample size.

Answer to Problem 12E

Explanation of Solution

Find the critical value tα2<m:math><m:mrow><m:msub><m:mi>t</m:mi><m:mrow><m:mfrac><m:mi>α</m:mi><m:mn>2</m:mn></m:mfrac></m:mrow></m:msub></m:mrow></m:math> to construct a confidence interval for the given level and sample size.

Answer to Problem 12E

Explanation of Solution

Want to see more full solutions like this?

Chapter 7 Solutions

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.

Find the critical value $tα2$ to construct a confidence interval for the given level and sample size.