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# Project2 - STA 2023 Project 2 The purpose of this project...

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STA 2023 Project 2 The purpose of this project is to show you how to use Minitab to compute binomial probabilities. In the process of completing the project, you will learn about the shape (skewed left, symmetric, skewed left) of binomial histograms for various values of p = P ( S ). You will also see where the binomial tables in the back of McClave’s text came from and how to produce and use additional tables to supplement (for different n ’s and p ’s that those covered in Tables II(a) through II(i)) those in the back of the text. 1. Start up Minitab. Click in the Session window. 2. In the Calc menu, select Make Patterened Data > Simple Set of numbers . A window titled Simple Set of Numbers will come up. Fill in the following information. The values to be entered are in large, bold characters. (a) Store patterned data in: x (b) From first value : 0 (this is a “zero”) (c) To last value : 15 (d) In steps of : 1 (e) List each value 1 times. (f) List the whole sequence 1 times. (g) Click OK 3. The first column in the Worksheet window will be labelled x and the entries in the column are 0 , 1 , 2 , . . . , 15 in rows 1 , 2 , . . . , 16, respectively. 4. In the Calc menu, select Probability Distributions > Binomial . A window titled Binomial Distribu- tion will come up. Enter the following information. (a) Click the radio button in front of Probability (b) Number of trials : 15 (c) Probability of success : .1 (d) Click the radio button in front of Input column . Put the cursor in the box to the right of Input column and click. In the large white box in the top left hand corner of the Binomial Distribution window, you will see the variable C 1 x . Double click on C1 in the large box. (e) The Input column box will now contain x and the cursor will be in the box opposite Optional storage . Type ’p(x) when p=.1’ in this box (be sure to include the single quotes (’) at the beginning and end. (f) Click OK (g) C2, labelled p(x) w p=.1, now contains the binomial probabilities (with n = 15 and p = . 1) associated with the values 0 , 1 , 2 , . . . , 15 (these values appear in C1. For example, for n = 15 and p = . 1, p (0) = . 205891.

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Project2 - STA 2023 Project 2 The purpose of this project...

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