You may need to use the appropriate appendix table or technologyto answer this question.
Older people often have a hard time finding work. A researchgroup reported on the number of weeks it takes a worker aged 55plus to find a job. The data on number of weeks spent searching fora job is given in the table below.
22 | 15 | 52 | 17 | 18 | 15 | 17 | 13 | 49 | 1 |
28 | 18 | 33 | 25 | 13 | 11 | 53 | 22 | 27 | 15 |
14 | 25 | 20 | 29 | 27 | 27 | 11 | 22 | 45 | 37 |
23 | 40 | 18 | 18 | 11 | 20 | 17 | 23 | 6 | 23 |
(a)
Provide a point estimate of the population mean number of weeksit takes a worker aged 55 plus to find a job.
weeks
(b)
At 95% confidence, what is the margin of error? (Round youranswer to four decimal places.)
weeks
(c)
What is the 95% confidence interval estimate of the mean? (Roundyour answers to two decimal places.)
weeks to weeks
(d)
Discuss the degree of skewness found in the sample data. Whatsuggestion would you make for a repeat of this study?
A histogram of the data shows the distribution is perfectlysymmetric. One might suggest collecting a smaller sample, at most15, in the future.A histogram of the data shows some evidence thatthe distribution may be skewed to the right. One might suggestcollecting a larger sample, at least 50, in thefuture. A histogram of the data showssome evidence that the distribution may be skewed to the right. Onemight suggest collecting a smaller sample, at most 15, in thefuture.A histogram of the data shows the distribution is perfectlysymmetric. One might suggest collecting a larger sample, at least50, in the future.