solution

 

. The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude toward school, and study habits of students. Scores range from 0 to 200. The mean score for U.S. college students is about 115, and the standard deviation is about 30. A teacher who suspects that older students have better attitudes toward school gives the SSHA to 25 students who are at least 30 years of age. Their mean score is x = 133.2.

(a) Assuming that σ = 30 for the population of older students, carry out a test of

H0: μ = 115

Ha: μ > 115

Report the P-value of your test, draw a sketch illustrating the P-value, and state your conclusion clearly.

(b) Your test in (a) required two important assumptions in addition to the assumption that the value of σ is known. What are

they? Which of these assumptions is most important to the validity of your conclusion in (a)?

 

 
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