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What is the null hypothesis, H_e: mu notequalto 1.2 mu lessthanorequalto 1.2 mu

ID: 3200315 • Letter: W

Question

What is the null hypothesis, H_e: mu notequalto 1.2 mu lessthanorequalto 1.2 mu = 1.2 mu 1.2 What is the alternative hypothesis, H_a: mu notequalto 1.2 mu 1,2 Classify the hypothesis test as two-tailed, left-tailed, or right-tailed. two-tailed left-tailed right-tailed middle-tailed Under what conditions would a type 1 error be committed? If the hypothesis test lead to non-rejection of H_0 when in fact H_0 was false. If the hypothesis test lead to rejection of H_a when in fact H_a was true. if the hypothesis test lead to rejection of H_0 when in fact H_0 was true. If the hypothesis test lead to non-rejection of H_0 when in fact H_0 was true. Under what conditions would a type II error be committed? If the hypothesis test lead to non-rejection of H_0 when in fact H_0 was false. If the hypothesis test lead to rejection of H_a when in fact H_a was true. If the hypothesis test lead to rejection of H_0 when in fact H_0 was true. If the hypothesis test lead to non-rejection of H_a when in fact H_0 was true.

Explanation / Answer

25.) H0: µ = 1.2; Because equal to sign always appears in the null hypothesis.

26.) H1: µ 1.2; Because we need to test whether mean time is different from 1.2

27.) This is a two tailed test becaue null and alternate hyptheses contain equalities. The test is two tailed test if either one or both hypotheses contain equalities.

28.) In statistical hypothesis testing, a type I error is the incorrect rejection of a true null hypothesis (a "false positive"), Hence the answer is

C. If the hypothesis test lead to rejection of H0, when in fact H0 was true.

29.) In statistical hypothesis testing, a type II error is incorrectly retaining a false null hypothesis (a "false negative"). Hence, the answer is

A. If the hypothesis test lead to non-rejection of H0, when in fact H0 was false.

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