Dutoit, Hansen, and Osborne measured the diameters ofsome number 10 machine screws with two different calipers(digital and vernier). Part of their data is recorded here.Given in the small table are measurements obtained on 50Diameter.Given in the small table are measurements obtained on 50screws by one of the students using the digital calipers.

(a) Compute the sample mean and standard deviation forthese data.

Diameter 4.52 4.66 4.67 4.68 4.69 4.70 4.71 4.72 Freq. 1 4 7 7 14 9 4 4

(b) Use your values from (a) and make a 95%confidence interval for the mean diameter of suchscrews as measured by this student with these calipers. screws as measured by this student with these calipers.(c) Repeat part (b), making a 99% confidence interval.How does this interval compare with the one from part(b)?(d) I t t i t l f t (b) f ith (d) Interpret your interval from part (b) for someone withlittle statistical background.