The human resources (HR) director of a large company wanted to study absence among middle-level managers at its head office for two weeks in February 2021.The information below reports the number of days of absence for a sample of 10 mid-level managers over a period of two.

Last week of February 2021:

4 1 2 2 1 2 2 1 0 3

Two middle managers identified stress as the cause of absence.

1) Estimate the 95% confidence interval for the average number of absences for middle-level managers during the last two week period.

2) Estimate the 95% confidence interval for the proportion of the population of middle-level managers who disclose stress as a cause of absence.