Formulate null and alternative hypotheses.

Question

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Answer 1

Question

Chapter 11.5, Problem 46PB

a.

To determine

Formulate null and alternative hypotheses.

b.

To determine

Suggest a test statistic for this test.

c.

To determine

Find the distribution that the test statistic of part (b) follows, if all expected counts were at least 5.

d.

To determine

Approximate the permutation P-value and write conclusion for test.

e.

To determine

Use the Permutation test of independence web app to enter the contingency table and replicate the results from part (d).

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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 11.5, Problem 46PB

a.

To determine

Formulate null and alternative hypotheses.

b.

To determine

Suggest a test statistic for this test.

c.

To determine

Find the distribution that the test statistic of part (b) follows, if all expected counts were at least 5.

d.

To determine

Approximate the permutation P-value and write conclusion for test.

e.

To determine

Use the Permutation test of independence web app to enter the contingency table and replicate the results from part (d).

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Check out a sample textbook solution

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Answer 3

Question

Chapter 11.5, Problem 46PB

a.

To determine

Formulate null and alternative hypotheses.

b.

To determine

Suggest a test statistic for this test.

c.

To determine

Find the distribution that the test statistic of part (b) follows, if all expected counts were at least 5.

d.

To determine

Approximate the permutation P-value and write conclusion for test.

e.

To determine

Use the Permutation test of independence web app to enter the contingency table and replicate the results from part (d).

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 4

Question

Chapter 11.5, Problem 46PB

a.

To determine

Formulate null and alternative hypotheses.

b.

To determine

Suggest a test statistic for this test.

c.

To determine

Find the distribution that the test statistic of part (b) follows, if all expected counts were at least 5.

d.

To determine

Approximate the permutation P-value and write conclusion for test.

e.

To determine

Use the Permutation test of independence web app to enter the contingency table and replicate the results from part (d).

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 5

Chapter 11.5, Problem 46PB

a.

To determine

Formulate null and alternative hypotheses.

b.

To determine

Suggest a test statistic for this test.

c.

To determine

Find the distribution that the test statistic of part (b) follows, if all expected counts were at least 5.

d.

To determine

Approximate the permutation P-value and write conclusion for test.

e.

To determine

Use the Permutation test of independence web app to enter the contingency table and replicate the results from part (d).

Answer 6

Chapter 11.5, Problem 46PB

a.

To determine

Formulate null and alternative hypotheses.

Answer 7

Chapter 11.5, Problem 46PB

a.

To determine

Formulate null and alternative hypotheses.

Answer 8

b.

To determine

Suggest a test statistic for this test.

Answer 9

b.

To determine

Suggest a test statistic for this test.

Answer 10

c.

To determine

Find the distribution that the test statistic of part (b) follows, if all expected counts were at least 5.

Answer 11

c.

To determine

Find the distribution that the test statistic of part (b) follows, if all expected counts were at least 5.

Answer 12

d.

To determine

Approximate the permutation P-value and write conclusion for test.

Answer 13

d.

To determine

Approximate the permutation P-value and write conclusion for test.

Answer 14

e.

To determine

Use the Permutation test of independence web app to enter the contingency table and replicate the results from part (d).

Answer 15

e.

To determine

Use the Permutation test of independence web app to enter the contingency table and replicate the results from part (d).

Answer 16

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Answer 17

Expert Solution & Answer

Answer 18

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Answer 19

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Formulate null and alternative hypotheses.

Solution Summary: The author explains that the conditional distribution of student responses on benefits is the same in STAT and CS courses.

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Formulate null and alternative hypotheses.

Suggest a test statistic for this test.

Find the distribution that the test statistic of part (b) follows, if all expected counts were at least 5.

Approximate the permutation P-value and write conclusion for test.

Use the Permutation test of independence web app to enter the contingency table and replicate the results from part (d).

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Chapter 11 Solutions