Q 1.3. - The Practice of Statistics for AP

Question

For the job satisfaction study described in Section 9.1, the hypotheses are

$$\begin{gathered} H_0:\mu =0 \\ {H}_a:\mu \ne 0 \end{gathered}$$

where $\mu$ is the mean difference in job satisfaction scores (self-paced -machine-paced) in the population of assembly-line workers at the company. Data from a random sample of $18$ workers gave $\overline{x} = 17$ and $s_x= 60$

Now use your calculator to find the P-value as described in the Technology Corner. Is your result consistent with the value you obtained in Question $2$?

Step-by-Step Solution

Answer

The $P -$value is $0.221$

Step 1: Given information

Degree of freedom $(df ) = 17$

Test statistic $\left(t\right) = 1.27$

Step 2: Concept

test statistic = $\frac{statistic parameter}{s\tan dard deviation of statistic}$

Step 3: Calculation

The $P -$value technology can be computed as: 

The above value is for one-tailed.

The P-value for two-tailed can be calculated as: $$\begin{gathered} P - value = 2 \times 0.1105 \\ = 0.221 \end{gathered}$$

Here, also the $P-$value is $0.221$

Thus, it could be said that the obtained $P-$value is matching to the value that has been computed in the previous problem.