Discuss the below:
Q: The personnel director of a large corporation wished 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: X= 9.7 days, S = 4.0 days
12 clerical workers were absent more than 10 days
A. Construct a 95% confidence interval estimate of the mean number of absences for clerical workers during the year.
B. Construct a 95% confidence interval estimate of the population proportion of clerical workers absent more than 10 days during the year.
C. What sample size is needed to have 95% confidence in estimating the population mean to within +- 1.5 days if the population standard deviation is 4.5 days?
D. What sample size is needed to have 90% confidence in estimating the population proportion to within +- 75 if not previous estimate is available?