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The Survey of Study Habits and Attitudes (SSHA) is a psychological that measures students' study habits and attitudes toward school. Scores range from 0 to 200. The mean score for U.S. college students is about 115. A teacher suspects that older students have better attitudes toward school. She gives the SSHA to 25 students who are at least 30 years old and finds they have an average score of 120. Assume that scores in the population of older students are Normally distributed with standard deviation of 30. Does the data she gathered support her hypothesis? Use a significance level of 0.05. (a) State your null and alternative hypotheses, also label the claim: Hou = 115 HAU - 115 (b) What are the values for population mean, sample mean, sample standard deviation and n? population mean = 115 n= 25 sample mean = 120 Sample standard deviation = 30 (c) What is the standard score, z?" Z = 0- 88333 (d) What is the P-value for this test? P = 0. 2023283246 0. 2023 (e) Do you reject or fail to reject HO? We fail to reject the null hypothesis. (f) What is your final conclusion? We fail to reject the null hypothesis so we fail to support the daim that older students have better attit toward school