e Ur WORKED PROBLEMS – SHOW CALCULATIONS IN ORDER TO CEL ULL CREDIL BIS 509 AN 04 60 t N nd 87 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 = 9.7 days, S = 4.0 days. 12 clerical workers were absent more than 10 days. a. Set up a 95% confidence interval estimate of the average number of absences for clerical workers last year. b. Set up a 95% confidence interval estimate of the population proportion of clerical workers absent more than 10 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 90% confident of being correct to within ± 0.075 of the population proportion of workers who are absent more than 10 days if no previous estimate is available? new
e Ur WORKED PROBLEMS – SHOW CALCULATIONS IN ORDER TO CEL ULL CREDIL BIS 509 AN 04 60 t N nd 87 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 = 9.7 days, S = 4.0 days. 12 clerical workers were absent more than 10 days. a. Set up a 95% confidence interval estimate of the average number of absences for clerical workers last year. b. Set up a 95% confidence interval estimate of the population proportion of clerical workers absent more than 10 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 90% confident of being correct to within ± 0.075 of the population proportion of workers who are absent more than 10 days if no previous estimate is available? new
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Show all steps and calculations
![e Ur
WORKED PROBLEMS – SHOW CALCULATIONS IN ORDER TO CEL ULL CREDIL
BIS
509
AN
04
60
t N
nd
87
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 = 9.7 days, S = 4.0 days.
12 clerical workers were absent more than 10 days.
a. Set up a 95% confidence interval estimate of the average number of absences for
clerical workers last year.
b. Set up a 95% confidence interval estimate of the population proportion of clerical
workers absent more than 10 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 90% confident of being correct to
within ± 0.075 of the population proportion of workers who are absent more than
10 days if no previous estimate is available?
new](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f10e4db-b7e5-4cd9-b018-1a3fb1a1773e%2F5653d6f7-9d18-48b4-95a2-0c04991a16bb%2F4fjopmq.jpeg&w=3840&q=75)
Transcribed Image Text:e Ur
WORKED PROBLEMS – SHOW CALCULATIONS IN ORDER TO CEL ULL CREDIL
BIS
509
AN
04
60
t N
nd
87
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 = 9.7 days, S = 4.0 days.
12 clerical workers were absent more than 10 days.
a. Set up a 95% confidence interval estimate of the average number of absences for
clerical workers last year.
b. Set up a 95% confidence interval estimate of the population proportion of clerical
workers absent more than 10 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 90% confident of being correct to
within ± 0.075 of the population proportion of workers who are absent more than
10 days if no previous estimate is available?
new
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