Question

A data set includes data from student evaluations of courses. The summary statistics are n=939, x=3.43, s=0.52.Use a 0.01significance level to test the claim that the population of student course evaluations has a mean equal to 3.50 Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

Answer 1

H0: = 3.50

Ha: 3.50

Test statistics

t = ( - ) / (S / sqrt(n) )

= (3.43 - 3.50) / (0.52 / sqrt(939) )

= -4.125

This is test statistics value.

df = n - 1 = 939 - 1 = 938

From T table,

t critical value at test statistics 4.125 and df of 938,

p-value = 0.0000

Since p-value < 0.01 level, reject the null hypothesis.

We conclude at 0.01 level that we have sufficient evidence to support the claim that the population of student course

evaluations has a mean equal to 3.50 .