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Chapter 11: Q.114 (page 668)

chi-square test statistic = ________

Short Answer

Expert verified

chi-square test statistic =36

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 15 minutes. It claims that the average delay is so consistent that the variance is no more than150 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next25flights. The average delay for those 25 flights is 22 minutes with a standard deviation of15minutes .

02

Explanation

The test statistics can be calculated by using the formula shown below:

Test statistic=(n-1)s2σ2

Here,

n-sample size

s2-sample variance

σ2-population variance

Therefore, the calculation is shown below:

Test statistic

=(25-1)(15)2(150)

=24×225150

=36

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Most popular questions from this chapter

State the null and alternative hypotheses?

a. Explain why a goodness-of-fit test and a test of independence are generally right-tailed tests.

b. If you did a left-tailed test, what would you be testing?

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

Determine the appropriate test to be used in the next three exercises.

A personal trainer is putting together a weight-lifting program for her clients. For a 90-day program, she expects each client to lift a specific maximum weight each week. As she goes along, she records the actual maximum weights her clients lifted. She wants to know how well her expectations met with what was observed.

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

In a goodness of fit test, if the p-value is 0.0113, in general, do not reject the null hypothesis
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