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MIE231 – Minitab Tutorial – 2009

Part A – Chocolate bars are packaged into boxes of 10 bars in each. The government regulation

requires that no more than X bars in a randomly packed package, where 0≤X≤10, be below a

certain mass. For the specific Binomial process at hand, the probability of a single bar being

below a certain mass (i.e., defective), p, has been estimated to be 0.2. You are asked to plot the

cumulative probability distribution for the number of defective chocolate bars in a random box.

1. Log-on to an ECF computer. Go to Start Programs MIE Software Minitab Solutions

Minitab 15 Statistical Software English.

2. You will see a Session window and a Data window (i.e., Worksheet 1). The Session window

displays the text output generated by your analyses and other work, while the Data window

displays a worksheet for data entry.

3. First, generate a list of the range of X-values over which to create the plot. On Worksheet 1,

label column C1 as “X” (type on the first row above the numbered rows). Then, go to Calc

Make Patterned Data

Simple Set of Numbers. In the resulting dialogue box, enter “X” for

the Store patterned data in input field (or double-click on C1 X in the data list on the left),

enter “0” for the From first value input field, enter “10” for the To last value input field, and

enter “1” for the In steps of input field.

4. Next, calculate the cumulative probability distribution values for each of the X values

generated above. Label column C2 as “P(X<=x)” and, then, go to Calc

Probability

Distributions

Binomial. In the resulting dialogue box, select the Cumulative probability

option and enter in the values for the number of trials and probability of success per trial in

the appropriate input fields. Also, enter “X” and “C2” for the Input column and the Optional

storage input fields, respectively.

5. To plot these cumulative distribution values, go to Graph

Bar Chart. In the Bars

represent pull-down menu select Values from a table. Select the Simple graph type and click

OK. In the resulting dialog box, enter “C2” and “X” in the Graph variables and Categorical

variable input fields, respectively. Click OK. A cumulative probability bar graph, similar to

the sample shown below, will appear.