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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Question

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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