Question

Let$\alpha =0.05$

Decision: ________

Conclusion (write out in a complete sentence.): ________

Short answer

Decision: Do not reject the null hypothesis

Conclusion: There is sufficient evidence to insure that the variance is no more than$150$

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

Here,

level of significance is $0.05$.

Decision: Do not reject the null hypothesis

Conclusion: There is sufficient evidence to insure that the variance is no more than$150$