Download Minitab #1

Minitab #1
Due Date: October 25, 2016
Academic Honesty Policy: This assignment is to be completed without any assistance from other
students. Do not copy another student's work or allow your work to be copied. If a student is found to
have cheated on any graded assignment, then he or she shall receive a grade of F for the course.
Directions: Do the following using Minitab and answer the following questions. Staple all Minitab
printouts to this sheet.
The purpose of this Minitab assignment is to conduct a simulation involving sampling from the discrete
probability distribution below.
X
P(X)
0
0.001
1
0.003
2
0.125
3
0.211
4
0.379
5
0.173
In Minitab, Place the “X” values in column C1. Place the “P(X)” values in column C2.
To simulate a sample of size 𝑛=40 from this population, follow the steps in Minitab:
From the top menu, select “Calc/Random Data/Discrete...”.
Once the window opens,
 Number of rows to generate:10000
 Store in columns(s): C3-C42
 Values in : C1
 Probabilities in: C2
Click OK.
To average the sample observations, follow the steps in Minitab:
From the top menu, select “Calc/Row Statistics...”
 Select “Mean”.
 Click in the box “Input Variables”. Enter C3-C42.
 Store result in: C44
Click OK
Note: Each row represents a sample of observations. The values in C44 are the
sample means of the sample observations in C3 through C42.
6
0.108
1. Use Minitab to find the following descriptive statistics for the sample means in C44.
The mean is _______________ (1 point) and the standard deviation is ___________ (1 point).
Attach the Minitab output (2 points).
2. Create a histogram and normal probability plot for the sample means in C44 (1 point each).
Is the distribution of C44 approximately normal? (2 points)
Explain your answer by referring to both the graph of the distribution (1 point) and the normal
probability plot (1 point).
3. Estimate the chance of observing a sample mean that is at least 5.0 (1 point). You must explain
your answer (2 points).
4. Submit all relevant graphs and output from the session window with this page as the cover
sheet. Do not print the worksheet from Minitab.