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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?

Sagot :

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]

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