Question

# A data set includes data from student evaluations of courses. The summary statistics are nequals94​, x...

A data set includes data from student evaluations of courses. The summary statistics are nequals94​, x overbarequals4.17​, sequals0.63. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. 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.

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   = 4.25

Ha :    4.25

Test statistic = z

= ( - ) / / n

= (4.17 - 4.25) / 0.63 / 94

= -1.23

P(z < -1.23) = 0.1093

P-value = 0.1093

= 0.01

P-value >

Fail to reject the null hypothesis .

There is not sufficient evidence to that claim in population of student course evaluations has a mean equal to 4.25 .

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