The U.S. Bureau of Labor and Statistics reported that a person between the ages of 18 anc had an average of $9.3$ jobs. To see if this average is correct, a researcher selected a randor sample of 8 workers between the ages of 18 and 34 and asked how many different places worked. The results were as follows:
$\begin{array}{rrrr}
\hline 1 & 14 & 8 & 2 \
8 & 14 & 13 & 6 \
\hline
\end{array}$

At $\alpha = 0.05$, can it be concluded that the mean is $9.2 ?$ Use the $P$-value method. 34 has
A) Yes. There is not enough evidence to reject the claim that the mean number of jobs is 9.2.
B) There is not enough information to draw a conclusion.
C) No. There is enough evidence to reject the claim that the mean number of jobs is 9.2.

Question

The U.S. Bureau of Labor and Statistics reported that a person between the ages of 18 anc had an average of $9.3$ jobs. To see if this average is correct, a researcher selected a randor sample of 8 workers between the ages of 18 and 34 and asked how many different places worked. The results were as follows:
$\begin{array}{rrrr}
\hline 1 & 14 & 8 & 2 \
8 & 14 & 13 & 6 \
\hline
\end{array}$

At $\alpha = 0.05$, can it be concluded that the mean is $9.2 ?$ Use the $P$-value method. 34 has
A) Yes. There is not enough evidence to reject the claim that the mean number of jobs is 9.2.
B) There is not enough information to draw a conclusion.
C) No. There is enough evidence to reject the claim that the mean number of jobs is 9.2.

Quizplus · Accepted Answer

To determine if the mean number of jobs is different from 9.2, a one-sample t-test is appropriate. The sample mean and standard deviation need to be calculated first. The sample mean ($\bar{x}$) is $8.875$ and the sample standard deviation (s) is $4.898$. With 7 degrees of freedom, the t-statistic can be calculated and compared to the critical t-value or the p-value can be checked against $\alpha = 0.05$. Without the exact t-statistic or p-value provided, we cannot directly calculate them here, but the conclusion suggests that the evidence was not strong enough to reject the null hypothesis that the mean number of jobs is 9.2, indicating that the sample data does not significantly differ from the hypothesized mean.

The US Bureau of Labor and Statistics Reported That a Person