A production manager wants to find out if there is difference in number of production units manufactured by night shift and the day shift. Random sample of night and day shifts is selected, and number of production units for each shift is recorded. Following statistics resulted:Day shift: sample mean = 27.4, standard deviation = 6.4, sample size = 60. Night shift: sample mean = 18.3, standard deviation = 5.9, sample size = 60. A. Determine a 90% confidence interval on difference in mean number of production units for two shifts.
B. Compute 99% confidence interval for part A.
C. Distinguish the two confidence intervals in parts a and b, and comment on length of intervals.