Many employers are concerned about employees wasting time by surfing the Internet and e-mailing friends during work hours. The article "Who Goofs Off 2 Hours a Day? Most Workers, Survey Says" summarized data from a large sample of workers.+ Suppose that the CEO of a large company wants to determine whether the mean wasted time during an 8-hour workday for employees of her company is less than the mean of 120 minutes reported in the article. Each person in a random sample of 10 employees is asked about daily wasted time at work (in minutes). Participants would be guaranteed anonymity to obtain truthful responses. Suppose the resulting data are as follows. 133, 82, 97, 123, 109, 131, 77, 120, 84, 132 (a) Calculate the point estimate (in minutes) for the population mean. 108.8 min (b) Assume that the population standard deviation is known to be o = 54.8 minutes. We would like to estimate the population mean with 95% confidence. Calculate the margin of error (in minutes) of the point estimate. (Use a table or technology. Round your answer to three decimal places.) 34.621 X min (c) Find a 95% confidence interval. (Round your answers to three decimal places.) 74.179 x 143.421 x min

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Many employers are concerned about employees wasting time by surfing the Internet and e-mailing friends during work hours. The article "Who Goofs Off 2 Hours a Day? Most Workers, Survey
Says" summarized data from a large sample of workers.+ Suppose that the CEO of a large company wants to determine whether the mean wasted time during an 8-hour workday for employees
of her company is less than the mean of 120 minutes reported in the article. Each person in a random sample of 10 employees is asked about daily wasted time at work (in minutes). Participants
would be guaranteed anonymity to obtain truthful responses. Suppose the resulting data are as follows.
133, 82, 97, 123, 109, 131, 77, 120, 84, 132
(a) Calculate the point estimate (in minutes) for the population mean.
108.8
✔ min
(b) Assume that the population standard deviation is known to be a = 54.8 minutes. We would like to estimate the population mean with 95% confidence. Calculate the margin of error (in
minutes) of the point estimate. (Use a table or technology. Round your answer to three decimal places.)
34.621
X min
(c)
Find a 95% confidence interval. (Round your answers to three decimal places.)
143.421 X min
74.179
Transcribed Image Text:Many employers are concerned about employees wasting time by surfing the Internet and e-mailing friends during work hours. The article "Who Goofs Off 2 Hours a Day? Most Workers, Survey Says" summarized data from a large sample of workers.+ Suppose that the CEO of a large company wants to determine whether the mean wasted time during an 8-hour workday for employees of her company is less than the mean of 120 minutes reported in the article. Each person in a random sample of 10 employees is asked about daily wasted time at work (in minutes). Participants would be guaranteed anonymity to obtain truthful responses. Suppose the resulting data are as follows. 133, 82, 97, 123, 109, 131, 77, 120, 84, 132 (a) Calculate the point estimate (in minutes) for the population mean. 108.8 ✔ min (b) Assume that the population standard deviation is known to be a = 54.8 minutes. We would like to estimate the population mean with 95% confidence. Calculate the margin of error (in minutes) of the point estimate. (Use a table or technology. Round your answer to three decimal places.) 34.621 X min (c) Find a 95% confidence interval. (Round your answers to three decimal places.) 143.421 X min 74.179
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