1. The personnel director of a large corporation wants to study absenteeism among clerical workers at the corporation's central office during the year. A random sample of 25 clerical workers reveals the following: [20 points] ➤ Absenteeism: X=19.7 days, S = 5.0 days. 20 clerical workers were absent more than 12 days. a. Set up an 95% confidence interval estimate of the average number of absences for clerical workers last year. b. Set up a 90% confidence interval estimate of the population proportion of clerical workers absent more than 12 days last year. c. If the personnel director also wants to take a survey in a branch office, what sample size is needed if the director wants to be 95% confident of being correct to within ± 1.5 days and the population standard deviation is assumed to be 4.5 days? d. If the personnel director also wants to take a survey in a branch office, what sample size is needed if the director wants to be 99% confident of being correct to within ± 0.035 of the population proportion of workers who are absent more than 12 days if the population proportion is known to be 0.45. stigate Q Search مالة W

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Show all calculations for question 1 part a B c and d. 

1. The personnel director of a large corporation wants to study absenteeism among
clerical workers at the corporation's central office during the year. A random
sample of 25 clerical workers reveals the following: [20 points]
➤ Absenteeism:
X=19.7 days, S = 5.0 days.
20 clerical workers were absent more than 12 days.
a. Set up an 95% confidence interval estimate of the average number of absences
for clerical workers last year.
b. Set up a 90% confidence interval estimate of the population proportion of clerical
workers absent more than 12 days last year.
c. If the personnel director also wants to take a survey in a branch office, what
sample size is needed if the director wants to be 95% confident of being correct to
within ± 1.5 days and the population standard deviation is assumed to be 4.5
days?
d. If the personnel director also wants to take a survey in a branch office, what
sample size is needed if the director wants to be 99% confident of being correct to
within ± 0.035 of the population proportion of workers who are absent more than
12 days if the population proportion is known to be 0.45.
stigate
Q Search
مالة
W
Transcribed Image Text:1. The personnel director of a large corporation wants to study absenteeism among clerical workers at the corporation's central office during the year. A random sample of 25 clerical workers reveals the following: [20 points] ➤ Absenteeism: X=19.7 days, S = 5.0 days. 20 clerical workers were absent more than 12 days. a. Set up an 95% confidence interval estimate of the average number of absences for clerical workers last year. b. Set up a 90% confidence interval estimate of the population proportion of clerical workers absent more than 12 days last year. c. If the personnel director also wants to take a survey in a branch office, what sample size is needed if the director wants to be 95% confident of being correct to within ± 1.5 days and the population standard deviation is assumed to be 4.5 days? d. If the personnel director also wants to take a survey in a branch office, what sample size is needed if the director wants to be 99% confident of being correct to within ± 0.035 of the population proportion of workers who are absent more than 12 days if the population proportion is known to be 0.45. stigate Q Search مالة W
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