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The average age of a part-time seasonal employee at a hotel has historically been  years. This year...

The average age of a part-time seasonal employee at a hotel has historically been  years. This year the average age of a randomly selected  part-time seasonal employees at the hotel is found to be  with a standard devaition of . If you want to test if this average decreased since last season, what is the test statistic?

a.

b.

c. none of the others

d.

e.

Math   Statistics-And-Probability   
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Answer #1

Solution:

Given:

The test is regarding a population mean.

The following null and alternative hypotheses:

The information is like, this year the average age of a randomly selected  part-time seasonal employees at the hotel is found to be  with a standard devaition of .

That means, on the basis of sample mean and sample standard deviation, we have test the hypothesis.

In this case, the test statistic becomes,

This corresponds to a left-tailed test, for which a t-test for one mean, with unknown population standard deviation will be used.

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