Question

Suppose we are testing the null hypothesis H 0 mu=20 and the alternative H iu =20 , normal population with sigma=6 A random sample of nine observations are drawn from the population, and we find the sample mean of these observations x = 17 The value of the test statistic z is approximatel

Answer 1

Answer:

The value of the test statistic is $z = -1.5$

Step-by-step explanation:

The formula for the test statistic is:

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

In which X is the statistic, $\mu$ is the mean, $\sigma$ is the standard deviation and n is the number of observations.

In this problem, we have that:

$\mu = 20, X = 17, \sigma = 6, n = 9$

So

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

$z = \frac{17 - 20}{\frac{6}{\sqrt{3}}}$

$z = -1.5$

The value of the test statistic is $z = -1.5$