Question

If the sample mean is 7, the hypothesized population mean is 4, and the standard error of the sample mean is 2, compute the test value needed for the z test.Question 11 options:1.503.00–3.00–1.50

Answer 1

SOLUTION

Given the question, the following are the solution steps to answer the question.

STEP 1: Write the given values

$\begin{gathered} mean(\mu)=7 \\ H_0=4 \\ Standard\text{ deviation\lparen}\sigma)=2 \end{gathered}$

STEP 2: Write the formula to get the test value for the z test

$z=\frac{\mu-H_0}{\sigma}$

STEP 3: Find the test value n

$\begin{gathered} By\text{ substitution,} \\ z=\frac{7-4}{2}=\frac{3}{2}=1.5 \end{gathered}$

Hence, the tets value needed for the z test is 1.50