In: Statistics and Probability
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 150 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. Use .05 level of significance.
What is the null hypothesis?
What are the degrees of freedom?
Calculate the test statistic.
Interpret the result.