Chapter 11.1, Problem 40E

a.

To determine

Find the lower and upper weight limits in order to meet the requirement that each of the individual weights is within the limits of 90% and 110% of the mean weight.

b.

To determine

Find the percentage of all possible observations of a normally distributed variable that lieswithin six standard deviations to either side of the mean.

c.

To determine

Show that fewer than two of every billion Xenical capsules will have weights that violate USP requirements if $\sigma <2$ .

d.

To determine

Explain why a standard deviation of Xenical capsule weights of less than 2 mg is reasonably acceptable with respect to USP requirements.