Chapter 10, Problem AP3.29CPT

To determine

To find out from the options that which of the following is the standardized test statistics for the hypothesis test.

Answer to Problem AP3.29CPT

Option (a) is the correct option.

Explanation of Solution

Now, to calculate the standardized test statistics for the hypothesis test, we know that the formula for the same is:

  $t=\frac{\overline{X}-{\mu }_0}{\frac{s}{\sqrt{n}}}$

This formula assumes that the data is normally distributed with unknown population standard deviation. Thus, by looking at the options we see that the option (a) best fits the formula of standardized test statistics, that is,

  $\begin{array}{l}t=\frac{\overline{X}-{\mu }_0}{\frac{s}{\sqrt{n}}}\\ \Rightarrow t=\frac{7.9-9}{\frac{2.1}{\sqrt{28}}}\end{array}$

Where,

  $\overline{X}=7.9$ , ${\mu }_0=9$ , $s=2.1$ and $n=28$ .

Thus, option (a) is the correct option.