An insurance company sets up a statistical test with a null hypothesis that the average time for processing a claim is 7 days, and an alternative hypothesis that the average time for processing a claim is greater than 7 days.

After completing the statistical test, it is concluded that the average time exceeds 7 days.

However, it is eventually learned that the mean process time is really 9 days.

What type of error occurred in the statistical test?

Question

Mathematics

Harrison Mcintyre

22 July, 07:40

An insurance company sets up a statistical test with a null hypothesis that the average time for processing a claim is 7 days, and an alternative hypothesis that the average time for processing a claim is greater than 7 days.

After completing the statistical test, it is concluded that the average time exceeds 7 days.

However, it is eventually learned that the mean process time is really 9 days.

What type of error occurred in the statistical test?

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Answers (1)

Know the Answer?

Macie Hanson · Answer 1

There was no error

Step-by-step explanation:

There are two types of statistical errors, the type 1 error and the type 2 error. In this case we refute the null hypothesis when the hypothesis is, in fact, false, because the mean process is 9 days instead of 7. Therefore we made no errors.

If the null hypothesis were True, a type 1 error would have ocurred. If the null hypothesis were false and we didnt refute it, then a type 2 error would have ocurred.