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 $150$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.

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

Short answer

We will use the test of a single mean where the average mean of the population is tested with the hypothesized mean.

Step-by-step solution

Given Information

An airline claims that its 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.

Explanation

In statistics, an average is defined as the number that measures the central tendency of a given set of numbers.

A distribution is a function that shows the possible values for a variable and how often they occur.