SHOW CALCULATIONS        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:   Absenteeism: = 19.7 days, S = 5.0 days.                    20 clerical workers were absent more than 12 days.   Set up an 95 % confidence interval estimate of the average number of absences for clerical workers last year.   Set up a 90% confidence interval estimate of the population proportion of clerical workers absent more than 12 days last year.   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?   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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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SHOW CALCULATIONS

 

  

 

  1. 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:

 

  • Absenteeism: = 19.7 days, S = 5.0 days.

                   20 clerical workers were absent more than 12 days.

 

  1. Set up an 95 % confidence interval estimate of the average number of absences for clerical workers last year.

 

  1. Set up a 90% confidence interval estimate of the population proportion of clerical workers absent more than 12 days last year.

 

  1. 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?

 

  1. 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.
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