Question

In this discussion, we are going to consider 5 studies on the amount of sleep college students get in a typical night. It is long been recommended that adults should get 8 hours of sleep each night. Five scientists each take a random sample of n students to help them learn about the true average number of hours sleep college students get in a typical night (so each scientist has the same number of students, but different individuals, in their sample).

Marie and Jamie each believe that college students actually get more than 8 hours of sleep (on average). Marie gets a test statistic of +2.14 and Jamie gets a test statistic of -1.24.

Victor and Samantha are not certain if college students typically get more or less than 8 hours of sleep, so they each are going to test that the average is different from 8. Victor gets a test statistic of -2.57. Samantha gets a test statistic of +1.59.

Roger and Alice believes that college students get less than 8 hours of sleep, on average, in a typical night. Roger gets a test statistic of -1.67 and Alice gets a test statistics of +1.86

Each group member will consider a different scientist/study. Your initial post should have three parts:

1) Identify the appropriate hypotheses for your scientist. Select one of the following options:

• H₀: μ = 8 vs. H_A: μ > 8
• H₀: μ = 8 vs. H_A: μ < 8
• H₀: μ = 8 vs. H_A: μ ≠ 8

2) Identify the appropriate definition for the p-value for your scientist’s study from the following list:

• The p-value represents the proportion of the null distribution that is equal to or more extreme than the test statistic.
• The p-value represents the proportion of the null distribution that is greater than or equal to the test statistic.
• The p-value represents the proportion of the null distribution that is less than or equal to the test statistic.

3) Also identify the corresponding picture for the p-value by selecting the letter of the appropriate graph below.

Answer 1

The given three statement do not provided a directional hypothesis