Test H 0 : = 100 vs H a : < 100 using the sample results x = 91.7, s = 12.5, with

Test H₀: μ = 100 vs H_a : μ < 100 using the sample results x̅ = 91.7, s = 12.5, with n = 30.

Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.