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

H_a: 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.