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Chapter 11: Q.110 (page 668)

A sample standard deviation of 15minutes is the same as a sample variance of __________ minutes.

Short Answer

Expert verified

A sample standard deviation of15 minutes is the sample as the sample variance of 0.258 minutes.

Step by step solution

01

Given information

Given in the question that, Suppose an airline claims that its flights are consistently on time with an average delay of at most 15minutes. It claims that the average delay is so consistent that the variance is no more than 150minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25flights. The average delay for those 25flights is 22minutes with a standard deviation of15minutes.

02

Explanation 

A sample standard deviation is a square root of variance. Therefore:

15=V

V=0.258

Therefore, a sample standard deviation of15minutes is the sample as the sample variance of 0.258minutes.

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