Reference no: EM132689256

The Industrial Engineering Department completed a work measurement study of the time required per unit production on adjacent production lines producing the same products over a 30-day period. Minutes per unit for Line 1 and Line 2 are in the following table.

Question a) Examine descriptive statistics of the mean, median, standard deviation, first quartile, third quartile, minimum value, and maximum value. What do these statistics indicate about the shape of each population distributions?

Question b) Create stem-and-leaf plots with stems = 10s and leaves = 1s. What does the shape and distributions of the stem-and-leaf plots indicate about the shape and distribution of each population?

Question c) Create histograms. What does the shape of each histogram tell of about the shape of the population distributions?

Question d) Construct a normal probability plot, a lognormal probability plot, gamma probability plot, and a Weibull probability plot of each data set. Estimate the best fit parameters for each distribution. Based on the plots and associated Anderson-Darling (AD) fit statistics, identify which distributions seems to be the best fit model at α = 0.05.

Question e) Assess data independence by creating a time series plot by day of each distribution. Are the data randomly distributed, or do there appear to be patterns in the time ordered data?