Question

A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a 0.10 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one​ minute? 66 80 37 65 41 21 57 65 67 48 64 67 91 88 62 Assuming all conditions for conducting a hypothesis test are​ met, what are the null and alternative​ hypotheses? A. H0​: μ=60 seconds H1​: μ≠60 seconds B. H0​: μ=60 seconds H1​: μ<60 seconds C. H0​ μ=60 seconds H1​: μ>60 seconds D. H0​ μ≠60 seconds H1​: μ=60 seconds

Answer 1

The null and alternative​ hypotheses are:

H0: μ = 60 seconds

H1: μ ≠ 60 seconds.

Option (A) is true.

Explanation:

Based on the search results, the null and alternative hypotheses for testing the claim that the students are reasonably good at estimating one minute can be determined.

The null hypothesis (H0) states that the mean of the population is equal to 60 seconds. The alternative hypothesis (H1) states that the mean of the population is not equal to 60 seconds.

Therefore, the correct null and alternative hypotheses are:

A. H0: μ = 60 seconds

H1: μ ≠ 60 seconds

This is the appropriate setup for a two-tailed hypothesis test, where we are testing whether the mean of the population is significantly different from 60 seconds.

Thus,

Option (A) is true.