You may need to use the appropriate appendix table or technology to answer this question. 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 in the table below. (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.) ———Weeks (c) What is the 95% confidence interval estimate of the mean? (Round your answers to two decimal places.) ————-Weeks to ————- weeks.
You may need to use the appropriate appendix table or technology to answer this question. 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 in the table below. (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.) ———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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You may need to use the appropriate appendix table or technology to answer this question.
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 in the table below.
(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.)
———Weeks
(c) What is the 95% confidence interval estimate of the mean? (Round your answers to two decimal places.)
————-Weeks to ————- weeks.
![### Job Search Duration Analysis
#### Research Data
A study was conducted to analyze the time people often spend searching for a job. The findings are summarized in the following table, which lists the number of weeks individuals reported spending in their job search:
| 21 | 14 | 51 | 16 | 17 | 14 | 16 | 12 | 48 | 0 |
|----|----|----|----|----|----|----|----|----|----|
| 27 | 17 | 32 | 24 | 12 | 10 | 52 | 21 | 26 | 14 |
| 13 | 24 | 19 | 28 | 26 | 10 | 21 | 44 | 36 | |
| 22 | 39 | 17 | 17 | 10 | 19 | 16 | 22 | 5 | 22 |
#### Statistical Analysis
**Point Estimate Calculation:**
To understand the central tendency of the job search duration, we calculate the point estimate of the population mean number of weeks it takes for an individual to find a job. Based on the data provided, the point estimate is determined as:
\[ \text{Point Estimate} = 22 \, \text{weeks} \]
**Margin of Error:**
To provide a range within which the true population mean likely falls, we calculate the margin of error at a 95% confidence level. The margin of error for this data is:
\[ \text{Margin of Error} = \pm 3.802 \, \text{weeks} \]
This analysis indicates that, on average, individuals spend approximately 22 weeks searching for a job, with a possible variation of 3.802 weeks in either direction to account for sampling variability.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2e6b2c0-ce1c-4539-99f5-e7707f682ecf%2Fe26b01f9-3719-41e6-a8aa-f4bc960d58a6%2F3k2xek_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Job Search Duration Analysis
#### Research Data
A study was conducted to analyze the time people often spend searching for a job. The findings are summarized in the following table, which lists the number of weeks individuals reported spending in their job search:
| 21 | 14 | 51 | 16 | 17 | 14 | 16 | 12 | 48 | 0 |
|----|----|----|----|----|----|----|----|----|----|
| 27 | 17 | 32 | 24 | 12 | 10 | 52 | 21 | 26 | 14 |
| 13 | 24 | 19 | 28 | 26 | 10 | 21 | 44 | 36 | |
| 22 | 39 | 17 | 17 | 10 | 19 | 16 | 22 | 5 | 22 |
#### Statistical Analysis
**Point Estimate Calculation:**
To understand the central tendency of the job search duration, we calculate the point estimate of the population mean number of weeks it takes for an individual to find a job. Based on the data provided, the point estimate is determined as:
\[ \text{Point Estimate} = 22 \, \text{weeks} \]
**Margin of Error:**
To provide a range within which the true population mean likely falls, we calculate the margin of error at a 95% confidence level. The margin of error for this data is:
\[ \text{Margin of Error} = \pm 3.802 \, \text{weeks} \]
This analysis indicates that, on average, individuals spend approximately 22 weeks searching for a job, with a possible variation of 3.802 weeks in either direction to account for sampling variability.
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