Test the hypothesis H 0 : μ = 4 vs H 0 : μ ≠ 4 at the level of significance α = 0.01 and to find the P -value.

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Answer 1

Question

Chapter 9.3, Problem 67E

a.

To determine

Test the hypothesis H0:μ=4 vs H0:μ≠4 at the level of significance α=0.01 and to find the P-value.

b.

To determine

Check the normality assumption.

c.

To determine

Compute the power of the test if the true mean dissolved oxygen concentration is as low as 3.

d.

To determine

Find the sample size required to detect a true mean dissolved oxygen concentration as low as 2.5 if the power of the test is wanted to be at least 0.9.

e.

To determine

Explain how you could answer the question in part (a) with a two sided confidence interval.

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Answer 2

Question

Chapter 9.3, Problem 67E

a.

To determine

Test the hypothesis H0:μ=4 vs H0:μ≠4 at the level of significance α=0.01 and to find the P-value.

b.

To determine

Check the normality assumption.

c.

To determine

Compute the power of the test if the true mean dissolved oxygen concentration is as low as 3.

d.

To determine

Find the sample size required to detect a true mean dissolved oxygen concentration as low as 2.5 if the power of the test is wanted to be at least 0.9.

e.

To determine

Explain how you could answer the question in part (a) with a two sided confidence interval.

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Answer 3

Question

Chapter 9.3, Problem 67E

a.

To determine

Test the hypothesis H0:μ=4 vs H0:μ≠4 at the level of significance α=0.01 and to find the P-value.

b.

To determine

Check the normality assumption.

c.

To determine

Compute the power of the test if the true mean dissolved oxygen concentration is as low as 3.

d.

To determine

Find the sample size required to detect a true mean dissolved oxygen concentration as low as 2.5 if the power of the test is wanted to be at least 0.9.

e.

To determine

Explain how you could answer the question in part (a) with a two sided confidence interval.

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Answer 4

Question

Chapter 9.3, Problem 67E

a.

To determine

Test the hypothesis H0:μ=4 vs H0:μ≠4 at the level of significance α=0.01 and to find the P-value.

b.

To determine

Check the normality assumption.

c.

To determine

Compute the power of the test if the true mean dissolved oxygen concentration is as low as 3.

d.

To determine

Find the sample size required to detect a true mean dissolved oxygen concentration as low as 2.5 if the power of the test is wanted to be at least 0.9.

e.

To determine

Explain how you could answer the question in part (a) with a two sided confidence interval.

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Answer 5

Chapter 9.3, Problem 67E

a.

To determine

Test the hypothesis H0:μ=4 vs H0:μ≠4 at the level of significance α=0.01 and to find the P-value.

b.

To determine

Check the normality assumption.

c.

To determine

Compute the power of the test if the true mean dissolved oxygen concentration is as low as 3.

d.

To determine

Find the sample size required to detect a true mean dissolved oxygen concentration as low as 2.5 if the power of the test is wanted to be at least 0.9.

e.

To determine

Explain how you could answer the question in part (a) with a two sided confidence interval.

Answer 6

Chapter 9.3, Problem 67E

a.

To determine

Test the hypothesis H0:μ=4 vs H0:μ≠4 at the level of significance α=0.01 and to find the P-value.

Answer 7

Chapter 9.3, Problem 67E

a.

To determine

Test the hypothesis H0:μ=4 vs H0:μ≠4 at the level of significance α=0.01 and to find the P-value.

Answer 8

b.

To determine

Check the normality assumption.

Answer 9

b.

To determine

Check the normality assumption.

Answer 10

c.

To determine

Compute the power of the test if the true mean dissolved oxygen concentration is as low as 3.

Answer 11

c.

To determine

Compute the power of the test if the true mean dissolved oxygen concentration is as low as 3.

Answer 12

d.

To determine

Find the sample size required to detect a true mean dissolved oxygen concentration as low as 2.5 if the power of the test is wanted to be at least 0.9.

Answer 13

d.

To determine

Find the sample size required to detect a true mean dissolved oxygen concentration as low as 2.5 if the power of the test is wanted to be at least 0.9.

Answer 14

e.

To determine

Explain how you could answer the question in part (a) with a two sided confidence interval.

Answer 15

e.

To determine

Explain how you could answer the question in part (a) with a two sided confidence interval.

Answer 16

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Answer 17

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Answer 18

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Answer 19

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Test the hypothesis H 0 : μ = 4 vs H 0 : μ ≠ 4 at the level of significance α = 0.01 and to find the P -value.

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Test the hypothesis H0:μ=4 vs H0:μ≠4 at the level of significance α=0.01 and to find the P-value.

Check the normality assumption.

Compute the power of the test if the true mean dissolved oxygen concentration is as low as 3.

Find the sample size required to detect a true mean dissolved oxygen concentration as low as 2.5 if the power of the test is wanted to be at least 0.9.

Explain how you could answer the question in part (a) with a two sided confidence interval.

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