How large a sample is necessary for the bound on the error

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Marketing and Consumer Behavior

The owner of a small tailoring shop keeps careful records of all alterations. Two common alterations to men's clothing are lengthening the inseam on pants and letting out a sports coat around the waist. A random sample of each type of alteration was obtained, and the summary statistics are given in the table below. Measurements are in inches.

Alteration	Sample size	Sample mean	Assumed
Pants inseam	33	0.74	0.22
Sports coat waist	42	1.05	0.37

a. Find a 95% confidence interval for the mean alteration of the inseams on men's pants.

b. How large a sample is necessary for the bound on the error of estimation to be 0.05 for the confidence interval in part (a)?

c. Find a 90% confidence interval for the mean alteration of the waists of sports coats.

d. How large a sample is necessary for the bound on the error of estimation to be 0.07 for the confidence interval in part (c)?

Reference no: EM131430890

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