Which of the following results in a null hypothesis μ≤7 and alternative hypothesis μ>7?A study wants to show that the mean number of hours of sleep the average person gets each day is at least 7.A study wants to show that the mean number of hours of sleep the average person gets each day is 7.A study wants to show that the mean number of hours of sleep the average person gets each day is more than 7.A study wants to show that the mean number of hours of sleep the average person gets each day is at most 7.

Question
Asked Oct 1, 2019
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Which of the following results in a null hypothesis μ≤7 and alternative hypothesis μ>7?

A study wants to show that the mean number of hours of sleep the average person gets each day is at least 7.

A study wants to show that the mean number of hours of sleep the average person gets each day is 7.

A study wants to show that the mean number of hours of sleep the average person gets each day is more than 7.

A study wants to show that the mean number of hours of sleep the average person gets each day is at most 7.

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Expert Answer

Step 1

We are given null and alternative hypothesis.

Null hypothesis:

Ho: μ ≤ 7

And alternative hypothesis:

Ha: μ > 7

Step 2

We know when we have given any claim that can be write down in null hypothesis or alternative hypothesis.

We will validate each of the given option.

  1. a) A study wants to show that the mean number of hours of sleep the average person gets each day is at least 7.

This means that μ ≥ 7

Which is not given in null or alternative hypothesis, so it is not a valid option.

Step 3
  1. b) A study wants to show that the mean number of hours of sleep the average person gets each day is 7.

This means that μ = 7

Which is not given in our hypothesis, so it is also not valid option.

 

  1. c) A study wants to show that the me...

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