The interval estimate 18.5 2.5 was developed for a population mean when the sample standard deviation s was 7.5.Had s equaled 15,the interval estimate would be 37 5.0.

Question

The interval estimate 18.5  2.5 was developed for a population mean when the sample standard deviation s was 7.5.Had s equaled 15,the interval estimate would be 37  5.0.

Quizplus · Accepted Answer

The interval estimate for a population mean using the formula x̄ ± t(s/√n) is directly proportional to the sample standard deviation s. This means that as s increases, the interval estimate will also increase. Therefore, if s had equaled 15 (which is twice the original sample standard deviation of 7.5), the interval estimate would have also doubled, resulting in a wider interval estimate than 37 ± 5.0.

The Interval Estimate 18