The claim and state H 0 and H a .

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Answer 1

Question

Chapter 8.3, Problem 11E

a.

To determine

To identify: The claim and state H0 and Ha .

b.

To determine

To find: The critical value and rejection regions.

c.

To determine

To find: The value of d¯ and sd .

d.

To determine

To find: The standardized test statistic t.

e.

To determine

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.01 .

f.

To determine

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

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1- Let A = {A1, A2, ...), in which A, A, = 0, when i j. a) Is A a π-system? If not, which element(s) should be added to A to become a π-system? b) Prove that σ(A) consists of the finite or countable unions of elements of A; i.c., A E σ(A) if and only if there exists finite or countable sequence {n} such that A = U₁An (Hint: Let F be such class; prove that F is a σ-filed containing A.) c) Let p ≥ 0 be a sequence of non-negative real numbers with Σip₁ = 1. Using p₁'s, how do you construct a probability measure on σ(A)? (Hint: use extension theorem.) 2- Construct an example for which P(lim sup A,) = 1 and P(lim inf An) = 0.

In a town with 5000 adults, a sample of 50 is selected using SRSWOR and asked their opinion of a proposed municipal project; 30 are found to favor it and 20 oppose it. If, in fact, the adults of the town were equally divided on the proposal, what would be the probability of observing what has been observed? Approximate using the Binomial distribution. Compare this with the exact probability which is 0.0418.

Answer 2

Question

Chapter 8.3, Problem 11E

a.

To determine

To identify: The claim and state H0 and Ha .

b.

To determine

To find: The critical value and rejection regions.

c.

To determine

To find: The value of d¯ and sd .

d.

To determine

To find: The standardized test statistic t.

e.

To determine

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.01 .

f.

To determine

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

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Answer 3

Question

Chapter 8.3, Problem 11E

a.

To determine

To identify: The claim and state H0 and Ha .

b.

To determine

To find: The critical value and rejection regions.

c.

To determine

To find: The value of d¯ and sd .

d.

To determine

To find: The standardized test statistic t.

e.

To determine

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.01 .

f.

To determine

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

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Answer 4

Question

Chapter 8.3, Problem 11E

a.

To determine

To identify: The claim and state H0 and Ha .

b.

To determine

To find: The critical value and rejection regions.

c.

To determine

To find: The value of d¯ and sd .

d.

To determine

To find: The standardized test statistic t.

e.

To determine

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.01 .

f.

To determine

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

Expert Solution & Answer

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Answer 5

Chapter 8.3, Problem 11E

a.

To determine

To identify: The claim and state H0 and Ha .

b.

To determine

To find: The critical value and rejection regions.

c.

To determine

To find: The value of d¯ and sd .

d.

To determine

To find: The standardized test statistic t.

e.

To determine

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.01 .

f.

To determine

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

Answer 6

Chapter 8.3, Problem 11E

a.

To determine

To identify: The claim and state H0 and Ha .

Answer 7

Chapter 8.3, Problem 11E

a.

To determine

To identify: The claim and state H0 and Ha .

Answer 8

b.

To determine

To find: The critical value and rejection regions.

Answer 9

b.

To determine

To find: The critical value and rejection regions.

Answer 10

c.

To determine

To find: The value of d¯ and sd .

Answer 11

c.

To determine

To find: The value of d¯ and sd .

Answer 12

d.

To determine

To find: The standardized test statistic t.

Answer 13

d.

To determine

To find: The standardized test statistic t.

Answer 14

e.

To determine

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.01 .

Answer 15

e.

To determine

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.01 .

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

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Answer 19

Expert Solution & Answer

Answer 20

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Answer 21

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The claim and state H 0 and H a .

Solution Summary: The claim is that caffeine ingestion improves repeated freestyle sprints in trained male swimmers. The alternative hypothesis indicates the claim.

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To identify: The claim and state H0 and Ha .

To find: The critical value and rejection regions.

To find: The value of d¯ and sd .

To find: The standardized test statistic t.

To decide: Whether to reject or fail to reject the null hypothesis when the level of significance α=0.01 .

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

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Chapter 8 Solutions