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Question 1 2 pts

A consumer analyst reports that the mean life of a certain type of alkaline battery is no more than 63 months. Write the null and alternative hypotheses and note which is the claim.

Ho: μ ≤ 63 (claim), Ha: μ > 63

Ho: μ = 63 (claim), Ha: μ ≥ 63

Ho: μ > 63 (claim), Ha: μ ≤ 63

Ho: μ ≤ 63, Ha: μ > 63 (claim)

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Question 2 2 pts

A business claims that the mean time that customers wait for service is at most 9.2 minutes. Write the null and alternative hypotheses and note which is the claim.

Ho: μ ≤ 9.2 (claim), Ha: μ > 9.2

Ho: μ ≥ 9.2, Ha: μ ≤ 9.2 (claim)

Ho: μ > 9.2 (claim), Ha: μ > 9.2

Ho: μ > 9.2, Ha: μ ≤ 9.2 (claim)

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Question 3 2 pts

An amusement park claims that the average daily attendance is at least 12,000. Write the null and alternative hypotheses and note which is the claim.

Ho: μ = 12000, Ha: μ ≤ 12000 (claim)

Ho: μ ≥ 12000 (claim), Ha: μ < 12000

Ho: μ > 12000 (claim), Ha: μ = 12000

Ho: μ ≤ 12000, Ha: μ > 12000 (claim)

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Question 4 2 pts

A transportation organization claims that the mean travel time between two destinations is about 12 minutes. Write the null and alternative hypotheses and note which is the claim.

Ho: μ = 12 (claim), Ha: μ ≤ 12

Ho: μ ≠ 12, Ha: μ = 12 (claim)

Ho: μ > 12, Ha: μ ≤ 12 (claim)

Ho: μ = 12 (claim), Ha: μ ≠ 12

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Question 5 2 pts

If the null hypothesis is not rejected when it is false, this is called __________.

the Empirical Rule

a type I error

an alternative hypothesis

a type II error

Answer 1

1. Here claim is that the mean life of a certain type of alkaline battery is no more than 63 months

Which mean

As null hypothesis always have equality sign

Answer is

Ho: μ ≤ 63 (claim), Ha: μ > 63 2. Here claim is that the mean time that customers wait for service is at most 9.2 minutes. , as null hypothesis always included equality sign, hypothesis is Ho: μ ≤ 9.2 (claim), Ha: μ > 9.2 3. Here claim is that the average daily attendance is at least 12,000 That is , as null hypothesis include equality sign, hypothesis is Ho: μ ≥ 12000 (claim), Ha: μ < 12000 4. Here claim is that the mean travel time between two destinations is about 12 minutes. That is , so hypothesis is Ho: μ = 12 (claim), Ha: μ ≠ 12 5. In statistical hypothesis testing, a type I error is the rejection of a true null hypothesis (also known as a "false positive" finding), while a type II error is failing to reject a false null hypothesis (also known as a "false negative" finding). Here the null hypothesis is not rejected when it is false, hence it is Type II error