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amid [387]
3 years ago
5

It is known that, nationally, doctors working for health maintenance organizations (HMOs) average 13.5 years of experience in th

eir specialties, with a standard deviation of 7.6 years. The executive director of an HMO in a western state is interested in determining whether or not its doctors have less experience than the national average. A random sample of 150 doctors from HMOs shows a mean of only 10.9 years of experience. What is the T
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
6 0

Answer:

The value of the test statistic is z = -4.19.

Step-by-step explanation:

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the expected value for the population mean, \sigma is the standard deviation and n is the size of the sample.

Average 13.5 years of experience in their specialties, with a standard deviation of 7.6 years.

This means that \mu = 13.5, \sigma = 7.6

A random sample of 150 doctors from HMOs shows a mean of only 10.9 years of experience.

This means that n = 150, X = 10.9

What is the test statistic?

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{10.9 - 13.5}{\frac{7.6}{\sqrt{150}}}

z = -4.19

The value of the test statistic is z = -4.19.

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