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 of US college students 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 M=132.2.
a. State the null and alternative hypothesis in words and notation (6pts)
b. What are the critical Z values for this test? (2 pts)
b. Carry out a z test and, report the p-value of your result, and state your conclusion in terms of the original research question clearly (10 pts). Make sure to state your conclusions in APA format.
e. What potential error did you make with your conclusion? Type I or type II error? Explain WHY. (4pts)
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