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3 years ago

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

Mathematics

1 answer:

neonofarm [45]3 years ago

5 0

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 $z = 1.34$

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3 years ago

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sergeinik [125]

Answer:

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Step-by-step explanation:

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We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$19 \pi/6 - 2\pi = \frac{7\pi}{6}$

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So from definition of tan we have this:

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\/ \/

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