The expected frequency for each cell in the contingency table .

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Answer 1

Question

Chapter 10, Problem 10.2.5RE

a.

To determine

To find: The expected frequency for each cell in the contingency table.

b.

To determine

To identify: The claim.

To state: The hypothesis H0 and Ha .

c.

To determine

The degrees of freedom.

To find: The critical value.

To identify: The rejection region.

d.

To determine

To obtain: The chi-square test statistic.

e.

To determine

To check: Whether the null hypothesis is rejected or fails to reject.

f.

To determine

To interpret: The decision in the context of the original claim.

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iid 1. The CLT provides an approximate sampling distribution for the arithmetic average Ỹ of a random sample Y₁, . . ., Yn f(y). The parameters of the approximate sampling distribution depend on the mean and variance of the underlying random variables (i.e., the population mean and variance). The approximation can be written to emphasize this, using the expec- tation and variance of one of the random variables in the sample instead of the parameters μ, 02: YNEY, · (1 (EY,, varyi n For the following population distributions f, write the approximate distribution of the sample mean. (a) Exponential with rate ẞ: f(y) = ß exp{−ßy} 1 (b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ } г( (c) Poisson with rate λ: P(Y = y) = exp(-\} > y! y²

2. Let Y₁,……., Y be a random sample with common mean μ and common variance σ². Use the CLT to write an expression approximating the CDF P(Ỹ ≤ x) in terms of µ, σ² and n, and the standard normal CDF Fz(·).

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Answer 2

Question

Chapter 10, Problem 10.2.5RE

a.

To determine

To find: The expected frequency for each cell in the contingency table.

b.

To determine

To identify: The claim.

To state: The hypothesis H0 and Ha .

c.

To determine

The degrees of freedom.

To find: The critical value.

To identify: The rejection region.

d.

To determine

To obtain: The chi-square test statistic.

e.

To determine

To check: Whether the null hypothesis is rejected or fails to reject.

f.

To determine

To interpret: The decision in the context of the original claim.

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Answer 3

Question

Chapter 10, Problem 10.2.5RE

a.

To determine

To find: The expected frequency for each cell in the contingency table.

b.

To determine

To identify: The claim.

To state: The hypothesis H0 and Ha .

c.

To determine

The degrees of freedom.

To find: The critical value.

To identify: The rejection region.

d.

To determine

To obtain: The chi-square test statistic.

e.

To determine

To check: Whether the null hypothesis is rejected or fails to reject.

f.

To determine

To interpret: The decision in the context of the original claim.

Expert Solution & Answer

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Answer 4

Question

Chapter 10, Problem 10.2.5RE

a.

To determine

To find: The expected frequency for each cell in the contingency table.

b.

To determine

To identify: The claim.

To state: The hypothesis H0 and Ha .

c.

To determine

The degrees of freedom.

To find: The critical value.

To identify: The rejection region.

d.

To determine

To obtain: The chi-square test statistic.

e.

To determine

To check: Whether the null hypothesis is rejected or fails to reject.

f.

To determine

To interpret: The decision in the context of the original claim.

Expert Solution & Answer

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Answer 5

Chapter 10, Problem 10.2.5RE

a.

To determine

To find: The expected frequency for each cell in the contingency table.

b.

To determine

To identify: The claim.

To state: The hypothesis H0 and Ha .

c.

To determine

The degrees of freedom.

To find: The critical value.

To identify: The rejection region.

d.

To determine

To obtain: The chi-square test statistic.

e.

To determine

To check: Whether the null hypothesis is rejected or fails to reject.

f.

To determine

To interpret: The decision in the context of the original claim.

Answer 6

Chapter 10, Problem 10.2.5RE

a.

To determine

To find: The expected frequency for each cell in the contingency table.

Answer 7

Chapter 10, Problem 10.2.5RE

a.

To determine

To find: The expected frequency for each cell in the contingency table.

Answer 8

b.

To determine

To identify: The claim.

To state: The hypothesis H0 and Ha .

Answer 9

b.

To determine

To identify: The claim.

To state: The hypothesis H0 and Ha .

Answer 10

c.

To determine

The degrees of freedom.

To find: The critical value.

To identify: The rejection region.

Answer 11

c.

To determine

The degrees of freedom.

To find: The critical value.

To identify: The rejection region.

Answer 12

d.

To determine

To obtain: The chi-square test statistic.

Answer 13

d.

To determine

To obtain: The chi-square test statistic.

Answer 14

e.

To determine

To check: Whether the null hypothesis is rejected or fails to reject.

Answer 15

e.

To determine

To check: Whether the null hypothesis is rejected or fails to reject.

Answer 16

f.

To determine

To interpret: The decision in the context of the original claim.

Answer 17

f.

To determine

To interpret: The decision in the context of the original claim.

Answer 18

Expert Solution & Answer

Answer 19

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Answer 20

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Answer 21

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The expected frequency for each cell in the contingency table .

Solution Summary: The author explains the formula to find the expected frequency for each cell in the contingency table.

Concept explainers

Videos

To find: The expected frequency for each cell in the contingency table.

To identify: The claim.

To state: The hypothesis H0 and Ha .

The degrees of freedom.

To find: The critical value.

To identify: The rejection region.

To obtain: The chi-square test statistic.

To check: Whether the null hypothesis is rejected or fails to reject.

To interpret: The decision in the context of the original claim.

Want to see the full answer?

Chapter 10 Solutions

The expected frequency for each cell in the contingency table .

Solution Summary: The author explains the formula to find the expected frequency for each cell in the contingency table.

Concept explainers

Videos

To find: The expected frequency for each cell in the contingency table.

To identify: The claim. To state: The hypothesis H0 and Ha .

The degrees of freedom. To find: The critical value. To identify: The rejection region.

To obtain: The chi-square test statistic.

To check: Whether the null hypothesis is rejected or fails to reject.

To interpret: The decision in the context of the original claim.

Want to see the full answer?

Chapter 10 Solutions

To identify: The claim.

To state: The hypothesis H0 and Ha .

The degrees of freedom.

To find: The critical value.

To identify: The rejection region.