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 graduates is about 115, and the standard deviation is about 30. A teacher who suspects that older students have better attitudes towards school gives the SSHA to 25 students who are at least 30 years of age. Their mean score is ? = 132.2. (a) Assuming that σ = 30 for the population of older students, carry out a test of ?0 : µ = 115 ? : µ > 115 (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 conclusions in (a)?
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