SOLUTION: 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 s

Question 1181997: 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.
a. Develop the appropriate hypotheses to test the student’s claim
b. At α = .05, what is your conclusion about the student’s claim?
c. At α = .1, what is your conclusion about the student’s claim? Explain?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho: mu=83
Ha: mu NE 83
alpha=0.05 p{reject Ho|Ho true}
test is a t df=31
critical value at 0.05 |t| >2.04
at 0.1 |t| >1.70
calculation is t=(x bar-mean)/s/sqrt(n)= -2.5*sqrt(32)/10=-1.414
fail to reject Ho p-value is 0.167
Insufficient evidence at both values of 0.05 and 0.1 to reject Ho.
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