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Problem

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20 Dec 2021

Given information

A maximum delay of 15 minutes is expected.
The difference is less than 150 minutes.
Calculates his next 25 flights delays.
With a standard deviation of 15 minutes, the average delay for those 25 flights is 22 minutes.

Step-by-step explanation

Step 1.

The Alternative Hypothesis determines the sort of test.

  • The rejection area of a two-tailed hypothesis test is divided equally between two critical values at the extremes of the distribution. When an alternative hypothesis equals a given quantity , a two-tailed test is used.
  • A right-tailed hypothesis test is one in which the rejection region is at the extreme right of the distribution. When the alternative hypothesis contains the criterion , a right-tailed test is used (greater than a given quantity).
  • Hypothesis Test with a Left-Tailed Rejection Zone - A Hypothesis Test with a rejection region on the extreme left of the distribution. When the alternative hypothesis contains the condition , a left-tailed test is used (less than a given quantity).

"The variance is no more than minutes," it says when considering the question. We can deduce that this is a left-tailed test from this.

Conclusion: Left-tailed test

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