Number of Jobs The U.S. Bureau of Labor and Statistics

Chapter 8, Problem 18

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QUESTION:

Number of Jobs The U.S. Bureau of Labor and Statistics reported that a person between the ages of 18 and 34 has had an average of 9.2 jobs. To see if this average is correct, a researcher selected a sample of 8 workers between the ages of 18 and 34 and asked how many different places they had worked. The results were as follows:

\(\begin{array}{llllllll}
8 & 12 & 15 & 6 & 1 & 9 & 13 & 2
\end{array}\)

At \(\alpha=0.05\) can it be concluded that the mean is 9.2? Use the P-value method. Give one reason why the respondents might not have given the exact number of jobs that they have worked.

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QUESTION:

Number of Jobs The U.S. Bureau of Labor and Statistics reported that a person between the ages of 18 and 34 has had an average of 9.2 jobs. To see if this average is correct, a researcher selected a sample of 8 workers between the ages of 18 and 34 and asked how many different places they had worked. The results were as follows:

\(\begin{array}{llllllll}
8 & 12 & 15 & 6 & 1 & 9 & 13 & 2
\end{array}\)

At \(\alpha=0.05\) can it be concluded that the mean is 9.2? Use the P-value method. Give one reason why the respondents might not have given the exact number of jobs that they have worked.

ANSWER:

Step 1 of 4

n = 8

Sample mean is calculated from the data provided in exercises as average:

\(\bar{X}=\frac{\sum X}{n}=8.25\)

Sample standard deviation is calculated from data provided: \(s=\sqrt{\frac{\sum\left(x_{i}-\bar{x}\right)^{2}}{n-1}}=5.064\)

Significance level: \(\alpha=0.05\)

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