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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 in the table below. 27 20 57 22 23 20 22 18 54 6 33 23 38 30 18 16 58 27 32 20 19 30 25 34 32 32 16 27 50 42 28 45 23 23 16 25 22 28 11 28 (a) Provide a point estimate of the population mean number of weeks it takes a worker aged 55 plus to find a job. 25 X weeks (b) At 95% confidence, what is the margin of error? (Round your answer to three decimal places.) 1.805 x weeks (c) What is the 95% confidence interval estimate of the mean? (Round your answers to two decimal places.) 26.20 X weeks to 29.80 X weeks