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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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Most popular questions from this chapter

According to an avid aquarist, the average number of fish in a 20-gallon tank is 10, with a standard deviation of two. His friend, also an aquarist, does not believe that the standard deviation is two. She counts the number of fish in 15other 20-gallon tanks. Based on the results that follow, do you think that the standard deviation is different from two? Data:11;10;9;10;10;11;11;10;12;9;7;9;11;10;11

Is the traveler disputing the claim about the average or about the variance?

The average waiting time in a doctor’s office varies. The standard deviation of waiting times in a doctor’s office is 3.4 minutes. A random sample of 30 patients in the doctor’s office has a standard deviation of waiting times of 4.1 minutes. One doctor believes the variance of waiting times is greater than originally thought.

What type of test should be used?

Refer back to the information in Try It. How many service providing jobs are there expected to be in 2020 ? How many nonagriculture wage and salary jobs are there expected to be in 2020?

Read the statement and decide whether it is true or false:

In a goodness-of-fit test, the expected values are the values we would expect if the null hypothesis were true.
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