1. A major company wants to estimate the number of working days lost because of employee absence from work. Using a sampling fraction of 1/25, a SRS sample S of size 2000 is drawn from the population of employees. For each employee in the sample yi, the number of days absent, is determined. Let S₁ and S₂ denote the subsamples of male and female employees, respectively. Some summary survey results are: Males: ns₁ 931 Σs, y = 12,604 1069 Σs y = 20, 412 Females: ns₂ = Σs, y = 232, 226 Σs y = 476, 208 (a) Estimate the mean number of days absent for all employees and com- pute a 95% confidence interval for this quantity. (b) Answer the questions in (a) for male employees. (c) Can you estimate the total number of days absent? Explain.
1. A major company wants to estimate the number of working days lost because of employee absence from work. Using a sampling fraction of 1/25, a SRS sample S of size 2000 is drawn from the population of employees. For each employee in the sample yi, the number of days absent, is determined. Let S₁ and S₂ denote the subsamples of male and female employees, respectively. Some summary survey results are: Males: ns₁ 931 Σs, y = 12,604 1069 Σs y = 20, 412 Females: ns₂ = Σs, y = 232, 226 Σs y = 476, 208 (a) Estimate the mean number of days absent for all employees and com- pute a 95% confidence interval for this quantity. (b) Answer the questions in (a) for male employees. (c) Can you estimate the total number of days absent? Explain.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 8E: List the sample space of each experiment. Picking a one-digit number
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Transcribed Image Text:1. A major company wants to estimate the number of working days lost
because of employee absence from work. Using a sampling fraction of 1/25,
a SRS sample S of size 2000 is drawn from the population of employees. For
each employee in the sample yi, the number of days absent, determined. Let
S₁ and S₂ denote the subsamples of male and female employees, respectively.
Some summary survey results are:
Males: ns, 931 Σs, Yi = 12,604 Σs, y = 232, 226
Females: ns₂ = 1069 Σs, yi = 20,412 Esy
476, 208
(a) Estimate the mean number of days absent for all employees and com-
pute a 95% confidence interval for this quantity.
(b) Answer the questions in (a) for male employees.
(c) Can you estimate the total number of days absent? Explain.
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