Question

Graph the situation. Label and scale the horizontal axis. Mark the mean and test statistic. Shade the $p-$value.

Short answer

The $p$-value sketch is shown below:

Step-by-step solution

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 $150$ 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.

Explanation

The$p-$value sketch is shown below: