Time lost at work from employee absenteeism is an important problem for many companies. The human resources department of Western Electric Corporation has studied the distribution of time lost from absenteeism by individual employees. During a one-year period the department found a mean of 21 days and a standard deviation of 10 days. A group of 49 employees was selected at random to participate in a program that allows a flexible work schedule, which the human resources department hoped would reflect a decrease in the amount of absenteeism and offer a viable option for the company in maintaining productivity levels.
a. Determine the probability that the sample mean value for time lost from absenteeism for this group of employees exceeded 21 days.
b. Determine the probability that the sample mean value was between 19 and 23 days.
c. Determine which values, that are an equal distance from the mean amount of time lost from absenteeism, encompass 95% of the possible sample mean values
This solution contains step-by-step calculations that determine the probability of the sample mean exceeding 21 days, 19 and 23 days as well as which values that are equidistant from the mean amount of time that encompass 95% of the possible sample mean values.