Question

Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places. µ = 77, σ = 6, n = 109, x̄ = 78.2

Answer 1

Given:

$\overline{x}=78.2$ , $\mu= 77,$$\sigma= 6$, n=109

formula:

$Z= \frac{\overline{x}-\mu}{\frac{\sigma}{\sqrt{n}}}$

solution:

$Z= \frac{78.2-77}{\frac{6}{\sqrt{109}}}$

=1.2/0.575

=2.087

answer: value of Z= 2.087