Question

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

Short answer

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

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