Find the level of significance. State the null and alternative hypothesis.

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Answer 1

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8.3, Problem 11P

(a)

To determine

Find the level of significance.

State the null and alternative hypothesis.

(b)

To determine

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

(c)

To determine

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

(d)

To determine

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

(e)

To determine

Interpret the conclusion in the context of the application.

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Microsoft Excel snapshot for random sampling: Also note the formula used for the last column 02 x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51)) A B 1 No. States 2 1 ALABAMA Rand No. 0.925957526 3 2 ALASKA 0.372999976 4 3 ARIZONA 0.941323044 5 4 ARKANSAS 0.071266381 Random Sample CALIFORNIA NORTH CAROLINA ARKANSAS WASHINGTON G7 Microsoft Excel snapshot for systematic sampling: xfx INDEX(SD52:50551, F7) A B E F G 1 No. States Rand No. Random Sample population 50 2 1 ALABAMA 0.5296685 NEW HAMPSHIRE sample 10 3 2 ALASKA 0.4493186 OKLAHOMA k 5 4 3 ARIZONA 0.707914 KANSAS 5 4 ARKANSAS 0.4831379 NORTH DAKOTA 6 5 CALIFORNIA 0.7277162 INDIANA Random Sample Sample Name 7 6 COLORADO 0.5865002 MISSISSIPPI 8 7:ONNECTICU 0.7640596 ILLINOIS 9 8 DELAWARE 0.5783029 MISSOURI 525 10 15 INDIANA MARYLAND COLORADO

Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined. 1.What percent of the refunds are more than $3,500? 2. What percent of the refunds are more than $3500 but less than $3579? 3. What percent of the refunds are more than $3325 but less than $3579?

A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts? 1. Compute the probability of a value between 44.0 and 55.0. (The question requires finding probability value between 44 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 44, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the answer of the second part.) 2. Compute the probability of a value greater than 55.0. Use the same formula, x=55 and subtract the answer from 1. 3. Compute the probability of a value between 52.0 and 55.0. (The question requires finding probability value between 52 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 52, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the…

Answer 2

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8.3, Problem 11P

(a)

To determine

Find the level of significance.

State the null and alternative hypothesis.

(b)

To determine

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

(c)

To determine

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

(d)

To determine

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

(e)

To determine

Interpret the conclusion in the context of the application.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 3

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8.3, Problem 11P

(a)

To determine

Find the level of significance.

State the null and alternative hypothesis.

(b)

To determine

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

(c)

To determine

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

(d)

To determine

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

(e)

To determine

Interpret the conclusion in the context of the application.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 4

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8.3, Problem 11P

(a)

To determine

Find the level of significance.

State the null and alternative hypothesis.

(b)

To determine

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

(c)

To determine

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

(d)

To determine

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

(e)

To determine

Interpret the conclusion in the context of the application.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 8.3, Problem 11P

(a)

To determine

Find the level of significance.

State the null and alternative hypothesis.

(b)

To determine

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

(c)

To determine

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

(d)

To determine

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

(e)

To determine

Interpret the conclusion in the context of the application.

Answer 6

Chapter 8.3, Problem 11P

(a)

To determine

Find the level of significance.

State the null and alternative hypothesis.

Answer 7

Chapter 8.3, Problem 11P

(a)

To determine

Find the level of significance.

State the null and alternative hypothesis.

Answer 8

(b)

To determine

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

Answer 9

(b)

To determine

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

Answer 10

(c)

To determine

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

Answer 11

(c)

To determine

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

Answer 12

(d)

To determine

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

Answer 13

(d)

To determine

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

Answer 14

(e)

To determine

Interpret the conclusion in the context of the application.

Answer 15

(e)

To determine

Interpret the conclusion in the context of the application.

Answer 16

Expert Solution & Answer

Answer 17

Expert Solution & Answer

Answer 18

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Answer 19

Find the level of significance. State the null and alternative hypothesis.

Videos

Find the level of significance.

State the null and alternative hypothesis.

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

Interpret the conclusion in the context of the application.

Want to see the full answer?

Chapter 8 Solutions

Find the level of significance. State the null and alternative hypothesis.

Videos

Find the level of significance. State the null and alternative hypothesis.

Identify the sampling distribution to be used. Identify whether the sample size is sufficiently large or not. Find the value of the sample test statistic. Find the z value.

Find the P-value. Draw the sampling distribution by showing the area corresponding to the P-value.

Check whether the null hypothesis is rejecting or fail to reject. Identify whether the data statistically significant at level 0.01 or not.

Interpret the conclusion in the context of the application.

Want to see the full answer?

Chapter 8 Solutions

Find the level of significance.

State the null and alternative hypothesis.

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.