The coefficient of restiution measures the "spring like" effect of faces of gold clubs, 15 golf dirvers produced from same make were randomly chosen and thier coefficient of restitution was measured. Sample mean of data was .837 and sample standard deviation was .025. Suppose that each measurement is normally distributed with mean μ and standard deviation σ.
A. Determine the point estimate for the mean coefficient of restitution of all drivers from this maker?
B. Obtain two-sided 95% confidence interval for the mean of all drivers from this maker?
C. Give two-sided 95% confidence interval for σ.
D. Test the null hypothesis Ho: μ=.82 against Ha: u>.82 with significance level of .05.
E. For the above test of hypothesis, what is the probability of rejecting the null hypothesis when it is actually true?