Suppose you are testing the null hypothesis that a population mean is greater than or equal to 60, against the alternative hypothesis that the population mean is less than 60.The sample size is 64 and $\alpha$ = .05.If the sample mean is 58 and the population standard deviation is 16, the observed z value is _______.
A)-1
B)1
C)-8
D)8
E)58

Question

Quizplus · Accepted Answer

The observed z value is calculated using the formula $z = \frac{\bar{x} - \mu}{\sigma/\sqrt{n}}$, where $\bar{x}$ is the sample mean, $\mu$ is the population mean, $\sigma$ is the population standard deviation, and $n$ is the sample size. Plugging in the given values: $z = \frac{58 - 60}{16/\sqrt{64}} = \frac{-2}{2} = -1$.

Suppose You Are Testing the Null Hypothesis That a Population α\alphaα

Suppose You Are Testing the Null Hypothesis That a Population $\alpha$