Guide to Using Minitab 14 For Basic Statistical Applications To Accompany Business Statistics: A Decision Making Approach, 8th Ed. Chapter 5: Introduction to Discrete Probability Distributions By Groebner, Shannon, Fry, & Smith Prentice-Hall Publishing Company Copyright, 2011 Chapter 5 Minitab Examples Binomial Mean Catalog Sales Poisson Distribution Heritage Tile More Examples Binomial Mean Catalog Sales Issue: People who order items from catalogs can return the items for a refund. Historical return rate for one catalog has been 11 percent. Is this rate still valid? Objective: Use Minitab to compute binomial probabilities based on a sample of 300 purchases. Binomial Mean – Catalog Sales Situation: Sample Size is n = 300 p = .11 Mean = np = 300(.11) = 33 44 returns were observed P(X > 44) = 1 – P(X < 43) Find P(X < 43) = ? Binomial Probabilities – EPA Standards Select Calc – Probability Distributions - Binomial Binomial Mean – Catalog Sales Specify Cumulative probability, Number of trials, success probability, and the Input constant (= number of successes) Binomial Mean – Catalog Sales Binomial Probability – Now Take 10.97 = 0.03 Poisson Distribution Heritage Title Issue: The distribution for the number of defects per tile made by Heritage Tile is Poisson distributed with a mean of 3 defects per tile. The manager is worried about the high variability Objective: Use Minitab to generate the Poisson distribution and histogram to visually see spread in the distribution of possible defects. Poisson Standard Deviation – Heritage Tile Select Calc – then select Probability Distributions – then Poisson Create Number column (0 – 10) Poisson Standard Deviation – Heritage Tile Mean = 3 Select Probability and the Input column. Enter the Number column and label optional storage column as Probability Poisson Standard Deviation – Heritage Tile Poisson Probabilities for mean = 3 Poisson Standard Deviation – Heritage Tile Select Graph – Bar Chart Poisson Standard Deviation – Heritage Tile Select Values from table – Simple - OK Poisson Standard Deviation – Heritage Tile Select variable to graph – Select categorical variable OK Poisson Standard Deviation – Heritage Tile Poisson Probability Distribution