The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitudes, and study habits of college students. Scores range from 0 to 200 and follow (approximately) a Normal distribution, with mean of 110 and standard deviation σ = 20. You suspect that incoming freshman have a mean μ, which is different from 110 because they are often excited yet anxious about entering college. To verify your suspicion, you test the hypotheses H0: μ = 110, Ha: μ 110 You give the SSHA to 50 students who are incoming freshman and find their mean score. Reference: Ref 15

Question

The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitudes, and study habits of college students. Scores range from 0 to 200 and follow (approximately) a Normal distribution, with mean of 110 and standard deviation σ = 20. You suspect that incoming freshman have a mean μ, which is different from 110 because they are often excited yet anxious about entering college. To verify your suspicion, you test the hypotheses  H0: μ = 110, Ha: μ  110  You give the SSHA to 50 students who are incoming freshman and find their mean score. Reference: Ref 15

ageta · Answer

the probability, assuming the null hypothesis is true, that the test statistic will take a