3. A college professor suspects that students at his school are getting less than 8 hours of sleep a night, on average.To test his belief, the professor asks a random sample of 31 students, "How much sleep did you get last night?".His results had a mean of 7.6 hours and standard deviation of 1.52 hours. Do these data provide convincingevidence at the a = 0.01 significance level in support of the professor's suspicion?(5 points)

Question

3. A college professor suspects that students at his school are getting less than 8 hours of sleep a night, on average.To test his belief, the professor asks a random sample of 31 students, &#34;How much sleep did you get last night?&#34;.His results had a mean of 7.6 hours and standard deviation of 1.52 hours. Do these data provide convincingevidence at the a = 0.01 significance level in support of the professor's suspicion?(5 points)

Accepted Answer

Step 1: State the null and alternative hypothesis for this testSince we are testing the professor's…