The clothing buyer for a department store wants to be sure the store orders the right mix of sizes. As part of a survey, she measured the height (in inches) of men who bought suits at this store. Her software reported the following confidence interval:
With 95.00% confidence, 70.8876 < μ < 74.4970
(a) Explain carefully what the software output means.
(b) What’s the margin of error for this interval?
(c) How should the buyer round the endpoints of the interval to summarize the result in a report for store managers?
(d) If the researcher had calculated a 99% confidence interval, would the output have shown a longer or shorter interval?