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

Short Answer

Expert verified

The traveler disputing about the variance of the airline because all estimation is taking place on variance and standard deviation.

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 than 150minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25flights. The average delay for those 25 flights is22 minutes with a standard deviation of 15 minutes

02

Explanation

The traveler disputing the variance of the airline because all estimation is taking place on variance and standard deviation.

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What is the test statistic?

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 of 15minutes.

If an additional test were done on the claim of the average delay, but 45 flights were surveyed, which distribution would you use?

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