Older people often have a hard time finding work. A research group reported on the number of weeks it takes a worker aged 55 plus to find a job. The data on the number of weeks spent searching for a job is given in the table below.\[\begin{array}{cccccc}23 & 16 & 53 & 18 & 19 & 16 \\29 & 19 & 34 & 36 & 14 & 50 \\15 & 22 & 31 & 28 & 12 & 43 \\24 & 41 & 19 & 12 & 21 & 24 \\\end{array}\](a) Provide a point estimate of the population mean number of weeks it takes a worker aged 55 plus to find a job.\[\text{Point Estimate:} \ \_\_\_\_\ weeks\](b) At 95% confidence, what is the margin of error? (Round your answer to four decimal places.)\[\text{Margin of Error:} \ \_\_\_\_\ \times \](c) What is the 95% confidence interval estimate of the mean? (Round your answers to two decimal places.)\[\text{Confidence Interval:} \ \_\_\_\_\ \text{weeks to} \ \_\_\_\_\ \text{weeks}\](d) Discuss the degree of skewness found in the sample data. What suggestion would you make for a repeat of this study?- ○ A histogram of the data shows the distribution is perfectly symmetric. One might suggest collecting a larger sample, at least 50, in the future.- ○ A histogram of the data shows some evidence that the distribution may be skewed to the right. One might suggest collecting a smaller sample, at most 15, in the future.- ○ A histogram of the data shows the distribution is perfectly symmetric. One might suggest collecting a smaller sample, at most 15, in the future.- ● A histogram of the data shows some evidence that the distribution may be skewed to the right. One might suggest collecting a larger sample, at least 50, in the future.

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Older people often have a hard time finding work. A research group reported on the number of weeks it takes a worker aged 55 plus to find a job. The data on number of weeks spent searching for a job is given the table below. 23 16 53 18 19 16 18 14 50 2 29 19 34 26| 14 12 54 23 28 16 15 26 21 30 28 28 12 23 46 38 24 41 19 19 12 21 18 24 7 24 (a) Provide a point estimate of the population mean number of weeks it takes a worker aged 55 plus to find a job. weeks (b) At 95% confidence, what is the margin of error? (Round your answer to four decimal places.) x weeks (c) What is the 95% confidence interval estimate of the mean? (Round your answers to two decimal places.) weeks to weeks

Older people often have a hard time finding work. A research group reported on the number of weeks it takes a worker aged 55 plus to find a job. The data on number of weeks spent searching for a job is given the table below. 23 16 53 18 19 16 18 14 50 2 29 19 34 26| 14 12 54 23 28 16 15 26 21 30 28 28 12 23 46 38 24 41 19 19 12 21 18 24 7 24 (a) Provide a point estimate of the population mean number of weeks it takes a worker aged 55 plus to find a job. weeks (b) At 95% confidence, what is the margin of error? (Round your answer to four decimal places.) x weeks (c) What is the 95% confidence interval estimate of the mean? (Round your answers to two decimal places.) weeks to weeks

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Older people often have a hard time finding work. A research group reported on the number of weeks it takes a worker aged 55 plus to find a job. The data on the number of weeks spent searching for a job is given in the table below.

\[
\begin{array}{cccccc}
23 & 16 & 53 & 18 & 19 & 16 \\
29 & 19 & 34 & 36 & 14 & 50 \\
15 & 22 & 31 & 28 & 12 & 43 \\
24 & 41 & 19 & 12 & 21 & 24 \\
\end{array}
\]

(a) Provide a point estimate of the population mean number of weeks it takes a worker aged 55 plus to find a job.

\[\text{Point Estimate:} \ \_\_\_\_\ weeks\]

(b) At 95% confidence, what is the margin of error? (Round your answer to four decimal places.)

\[\text{Margin of Error:} \ \_\_\_\_\ \times \]

(c) What is the 95% confidence interval estimate of the mean? (Round your answers to two decimal places.)

\[\text{Confidence Interval:} \ \_\_\_\_\ \text{weeks to} \ \_\_\_\_\ \text{weeks}\]

(d) Discuss the degree of skewness found in the sample data. What suggestion would you make for a repeat of this study?
- ○ A histogram of the data shows the distribution is perfectly symmetric. One might suggest collecting a larger sample, at least 50, in the future.
- ○ A histogram of the data shows some evidence that the distribution may be skewed to the right. One might suggest collecting a smaller sample, at most 15, in the future.
- ○ A histogram of the data shows the distribution is perfectly symmetric. One might suggest collecting a smaller sample, at most 15, in the future.
- ● A histogram of the data shows some evidence that the distribution may be skewed to the right. One might suggest collecting a larger sample, at least 50, in the future.

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