SOLUTION: 1. A student believes that the average grade on the statistics final examination was 83. A sample of 32 final examinations was taken. The average grade in the sample was 80.5 with

Algebra ->  Probability-and-statistics -> SOLUTION: 1. A student believes that the average grade on the statistics final examination was 83. A sample of 32 final examinations was taken. The average grade in the sample was 80.5 with       Log On


   



Question 1181958: 1. A student believes that the average grade on the statistics final examination was 83. A sample of 32 final examinations was taken. The average grade in the sample was 80.5 with a standard deviation of 10.
Develop the appropriate hypotheses to test the student’s claim.
and At α = .05, what is your conclusion about the student’s claim?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: grade was 83(mu)
Ha: mu NE 83
alpha=0.05 p{reject Ho|Ho true}
test stat is a t(0.975, df=31)
critical value for this two way t-test is |t|>2.041
calculation t=(80.5-83)/10/sqrt(32)
=-2.5*sqrt(32)/10
=-1.41
fail to reject Ho. There is insufficient evidence to reject the claim. (The student has not been proven wrong)
p-value=0.334