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 15 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25 flights. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes.

Question
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 15 minutes. Doubting the consistency part of the
claim, a disgruntled traveler calculates the delays for his next 25 flights. The
average delay for those 25 flights is 22 minutes with a standard deviation of 15
minutes.
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Hypothesis Testing

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Transcribed Image Text

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 15 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25 flights. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes.