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 isstudent submitted image, transcription available below x = 127.8.

(a) Assuming that ? = 30 for the population of older students, carry out a test of
H0: ?= 115
H0: ?> 115
Report the P-value of your test, and state your conclusion clearly.