Answer:
The value of the test statistic is [tex]z = 1.34[/tex]
Step-by-step explanation:
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] 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 [tex]\mu = 5[/tex]
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 [tex]n = 40, X = 5.07, \sigma = 0.33[/tex]
Find the value of the test statistic?
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{5.07 - 5}{\frac{0.33}{\sqrt{40}}}[/tex]
[tex]z = 1.34[/tex]
The value of the test statistic is [tex]z = 1.34[/tex]
