Question

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

Answer 1

Answer:

The value of the test statistic is $z = 1.34$

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 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?

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

$z = \frac{5.07 - 5}{\frac{0.33}{\sqrt{40}}}$

$z = 1.34$

The value of the test statistic is $z = 1.34$