Question

A data set includes data from student evaluations of courses. The summary statistics are n=87 x=3.42 s=0.640 Use a 0.010 significance 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

Solution :

The null and alternative hypothesis is ,

H0 :   = 3.50

Ha : 3.50

Test statistic (t) =

= ( - ) / s / n

= (3.42 - 3.50) / 0.640 / 87

Test statistic = -1.17

P-value = 0.2469

= 0.010

P-value >

Faqil to reject the null hypothesis .

There is no sufficient evidence to support the claim