1. (a) Find the standard deviation s of the rivet diameters in Table 3.10 of Problem 3.61. (b) What percentage of the rivet diameters lies between X ± s, X ± 2s, and X ± 3s? (c) Compare the...

1. (a) Find the standard deviation s of the rivet diameters in Table 3.10 of Problem 3.61.

(b) What percentage of the rivet diameters lies between X ± s, X ± 2s, and X ± 3s?

(c) Compare the percentages in part (b) with those which would theoretically be expected if the distribution were normal, and account for any observed differences.

2. (a) Find the mean and standard deviation for the data.

(b) Construct a frequency distribution for the data and find the standard deviation.

(c) Compare the results of part (b) with that of part (a). Determine whether an application of Sheppard’s correction produces better results.