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A mean equal to 5 cm. A simple random sample of wrist breadths of 40 women has a mean of 5.07

cm. The population standard deviation is 0.33 cm. Find the value of the test statistic?

User Muratcavus
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1 Answer

2 votes

Answer:

The value of the test statistic is
z = 1.34

Explanation:

The test statistic is:


z = (X - \mu)/((\sigma)/(√(n)))

In which X is the sample mean,
\mu is the value tested at the null hypothesis,
\sigma is the standard deviation and n is the size of the sample.

Test if the mean is equal to 5:

This means that the null hypothesis is
\mu = 5

A simple random sample of wrist breadths of 40 women has a mean of 5.07 cm. The population standard deviation is 0.33 cm.

This means that
n = 40, X = 5.07, \sigma = 0.33

Find the value of the test statistic?


z = (X - \mu)/((\sigma)/(√(n)))


z = (5.07 - 5)/((0.33)/(√(40)))


z = 1.34

The value of the test statistic is
z = 1.34

User Gligor
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