Exercise 3 Consider the data below that correspond to the monthly talk times (in minutes) of the mobile phones of 12 employees of one department (Customer Service) of a certain company (assume that talk times are normally distributed): 123 42 77 97 110 53 88 91 66 117 85 38 a) Estimate the mean monthly talk time of all employees in all departments of the company (i.e. calculate the best one-point estimate for the population mean). b) Estimate a 95% confidence interval for the mean monthly talk time of all employees of the company. c) Do you think that this sample of data is representative? Why or why not?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Exercise 3
Consider the data below that correspond to the monthly talk times (in minutes) of the mobile
phones of 12 employees of one department (Customer Service) of a certain company (assume
that talk times are normally distributed):
123 42
88 91
77 97 110 53
66 117 85 38
a) Estimate the mean monthly talk time of all employees in all departments of the company (i.e.
calculate the best one-point estimate for the population mean).
b) Estimate a 95% confidence interval for the mean monthly talk time of all employees of the
company.
c) Do you think that this sample of data is representative? Why or why not?
Transcribed Image Text:Exercise 3 Consider the data below that correspond to the monthly talk times (in minutes) of the mobile phones of 12 employees of one department (Customer Service) of a certain company (assume that talk times are normally distributed): 123 42 88 91 77 97 110 53 66 117 85 38 a) Estimate the mean monthly talk time of all employees in all departments of the company (i.e. calculate the best one-point estimate for the population mean). b) Estimate a 95% confidence interval for the mean monthly talk time of all employees of the company. c) Do you think that this sample of data is representative? Why or why not?
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