In the study of older students’ attitudes from Exercise 65, the sample mean SSHA score was 125.7 and the sample standard deviation was 29.8.
a. Calculate the standardized test statistic.
b. Find and interpret the P-value.
c. What conclusion would you make?
Exercise 65.
The Survey of Study Habits and Attitudes (SSHA) is a psychological test with scores that range from 0 to 200. The mean score for U.S. college students is 115. A teacher suspects that older students have better attitudes toward school. She gives the SSHA to an SRS of 45 students from the more than 1000 students at her college who are at least 30 years of age. The teacher wants to perform a test at the α = 0.05 significance level of
H0: μ = 115
Ha: μ > 115
where μ = the mean SSHA score in the population of students at her college who are at least 30 years old. Check if the conditions for performing the test are met.