The personnel director of a large corporation wishes

The personnel director of a large corporation wishes 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 bar = 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.