SOLUTION: A data set includes data from student evaluations of courses. The summary statistics are n=96, x = 3.43, s = 0.51. Use a 0.01 significance level to test the claim that the populat

Question 1193690: A data set includes data from student evaluations of courses. The summary statistics are n=96, x = 3.43, s = 0.51. Use a 0.01
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.
What are the null and alternative hypotheses?
Determine the test statistic.
Determine the P-Value.
State the final conclusion that addresses the original claim.
(Reject, fail to reject)H 0 There is (not sufficient,sufficient)evidence to conclude that the mean of the population of student course evaluations is equal to 3.50 (is,is not)correct

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho: mean is 3.50
Ha: it isn't 3.50
alpha=0.01 p{reject Ho|Ho true}
test stat is a t (0.995, df=95)
critical value is |t|>2.63
t=((3.43-3.50)/0.51/sqrt(96)
=-0.07*sqrt(96)/0.51
=-1.345
p-value =0.18
fail ro reject
insufficient evidence to say the mean is different from 3.50.
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