The claim and state H 0 and H a .

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Answer 1

Question

Chapter 8.2, Problem 18E

a.

To determine

To identify: The claim and state H0 and Ha .

b.

To determine

To find: The critical value and rejection region with α=0.10 .

c.

To determine

To find: The standardized test statistic t.

d.

To determine

To decide: Whether to reject or fail to reject the null hypothesis at a level of significance of α=0.05 .

e.

To determine

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

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26. A certain system can experience three different types of defects. Let A;(i = 1,2,3) denote the event that the sys- tem has a defect of type i. Suppose thatP(A1) = .12 P(A) = .07 P(A) = .05P(A, U A2) = .13P(A, U A3) = .14P(A2 U A3) = .10P(A, A2 A3) = .011Rshelfa. What is the probability that the system does not havea type 1 defect?b. What is the probability that the system has both type 1 and type 2 defects?c. What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect? d. What is the probability that the system has at most two of these defects?

The following are suggested designs for group sequential studies. Using PROCSEQDESIGN, provide the following for the design O’Brien Fleming and Pocock.• The critical boundary values for each analysis of the data• The expected sample sizes at each interim analysisAssume the standardized Z score method for calculating boundaries.Investigators are evaluating the success rate of a novel drug for treating a certain type ofbacterial wound infection. Since no existing treatment exists, they have planned a one-armstudy. They wish to test whether the success rate of the drug is better than 50%, whichthey have defined as the null success rate. Preliminary testing has estimated the successrate of the drug at 55%. The investigators are eager to get the drug into production andwould like to plan for 9 interim analyses (10 analyzes in total) of the data. Assume thesignificance level is 5% and power is 90%.Besides, draw a combined boundary plot (OBF, POC, and HP)

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Answer 2

Question

Chapter 8.2, Problem 18E

a.

To determine

To identify: The claim and state H0 and Ha .

b.

To determine

To find: The critical value and rejection region with α=0.10 .

c.

To determine

To find: The standardized test statistic t.

d.

To determine

To decide: Whether to reject or fail to reject the null hypothesis at a level of significance of α=0.05 .

e.

To determine

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

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Answer 3

Question

Chapter 8.2, Problem 18E

a.

To determine

To identify: The claim and state H0 and Ha .

b.

To determine

To find: The critical value and rejection region with α=0.10 .

c.

To determine

To find: The standardized test statistic t.

d.

To determine

To decide: Whether to reject or fail to reject the null hypothesis at a level of significance of α=0.05 .

e.

To determine

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

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Answer 4

Question

Chapter 8.2, Problem 18E

a.

To determine

To identify: The claim and state H0 and Ha .

b.

To determine

To find: The critical value and rejection region with α=0.10 .

c.

To determine

To find: The standardized test statistic t.

d.

To determine

To decide: Whether to reject or fail to reject the null hypothesis at a level of significance of α=0.05 .

e.

To determine

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

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Answer 5

Chapter 8.2, Problem 18E

a.

To determine

To identify: The claim and state H0 and Ha .

b.

To determine

To find: The critical value and rejection region with α=0.10 .

c.

To determine

To find: The standardized test statistic t.

d.

To determine

To decide: Whether to reject or fail to reject the null hypothesis at a level of significance of α=0.05 .

e.

To determine

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

Answer 6

Chapter 8.2, Problem 18E

a.

To determine

To identify: The claim and state H0 and Ha .

Answer 7

Chapter 8.2, Problem 18E

a.

To determine

To identify: The claim and state H0 and Ha .

Answer 8

b.

To determine

To find: The critical value and rejection region with α=0.10 .

Answer 9

b.

To determine

To find: The critical value and rejection region with α=0.10 .

Answer 10

c.

To determine

To find: The standardized test statistic t.

Answer 11

c.

To determine

To find: The standardized test statistic t.

Answer 12

d.

To determine

To decide: Whether to reject or fail to reject the null hypothesis at a level of significance of α=0.05 .

Answer 13

d.

To determine

To decide: Whether to reject or fail to reject the null hypothesis at a level of significance of α=0.05 .

Answer 14

e.

To determine

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

Answer 15

e.

To determine

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

Answer 16

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Answer 17

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Answer 18

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Answer 19

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The claim and state H 0 and H a .

Solution Summary: The author identifies the claim and states that the mean household income is the same in Ada County, Idaho, and Cameron Parish, Louisiana.

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To identify: The claim and state H0 and Ha .

To find: The critical value and rejection region with α=0.10 .

To find: The standardized test statistic t.

To decide: Whether to reject or fail to reject the null hypothesis at a level of significance of α=0.05 .

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

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Chapter 8 Solutions