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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 8E
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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.
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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