Minitab Assignment 2 - Elementary Statistics and Probability | MATH 210, Assignments of Probability and Statistics

Material Type: Assignment; Professor: Dunlap; Class: Elem Stat&Prob; Subject: Mathematics; University: The University of Tennessee-Martin; Term: Unknown 1989;

Typology: Assignments

Pre 2010

Uploaded on 08/18/2009

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Math 210 – Minitab Assignment #2
(Due in class the day of Exam 2)
Directions:
You may work on this in groups of at most 2. If you worked with someone, place both
names in the upper right hand corner.
Turn in this page, any relevant graphs such as histograms and boxplots as well as output
supplied such as sample means, sample standard deviation, etc. This is done by selecting
the window such as a histogram or session window and then selecting Ctrl-P.
You can also right click on a graph or highlight the output in the session window, then
copy the information into Word.
Label all output by hand so that it is easy to find (i.e. Histogram for 1a, Means for 2c,
etc.)
Answer questions on a separate piece of paper. Do not place answers on the Minitab
output.
This assignment is worth 50 points. Failure to follow the directions above will result in
the loss of points. You will not be allowed to turn this assignment in late for any reason.
1. This is a simulation to understand the distribution of the sample mean.
Step 1: Generate 1000 rows of 5 columns from a distribution that is Uniform from 10 to 15.
Think of this as being 1000 samples containing 5 observations each.
Step 2: Create a column for the Sample Mean by selecting the column C5 in the worksheet and
then {Calc\Row Statistics}. Select Mean from the list. Click the box for Input
Variables and choose all 5 variables (C1 – C5). Enter C6 for the column to store the
new sample mean in.
A. Obtain a histogram for the variable in C1 and a histogram for the sample mean in C6.
B. What percentage of the sample means are greater than 13? This is an approximation to the
true probability. It will be useful to sort the data by column 6. This will make counting
easier.
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Math 210 – Minitab Assignment # (Due in class the day of Exam 2) Directions:  You may work on this in groups of at most 2. If you worked with someone, place both names in the upper right hand corner.  Turn in this page, any relevant graphs such as histograms and boxplots as well as output supplied such as sample means, sample standard deviation, etc. This is done by selecting the window such as a histogram or session window and then selecting Ctrl-P. You can also right click on a graph or highlight the output in the session window, then copy the information into Word.  Label all output by hand so that it is easy to find ( i.e. Histogram for 1a, Means for 2c, etc.)  Answer questions on a separate piece of paper. Do not place answers on the Minitab output.  This assignment is worth 50 points. Failure to follow the directions above will result in the loss of points. You will not be allowed to turn this assignment in late for any reason.

  1. This is a simulation to understand the distribution of the sample mean. Step 1: Generate 1000 rows of 5 columns from a distribution that is Uniform from 10 to 15. Think of this as being 1000 samples containing 5 observations each. Step 2: Create a column for the Sample Mean by selecting the column C5 in the worksheet and then {Calc\Row Statistics}. Select Mean from the list. Click the box for Input Variables and choose all 5 variables (C1 – C5). Enter C6 for the column to store the new sample mean in. A. Obtain a histogram for the variable in C1 and a histogram for the sample mean in C6. B. What percentage of the sample means are greater than 13? This is an approximation to the true probability. It will be useful to sort the data by column 6. This will make counting easier.
  1. Use Minitab to work these problems from the text. Next to the output you provide, write the problem that it goes with. These are odd problems so you can check your answer with the back of the book. Be sure to read the help file at the website for working with probability distributions. A. Exercise 21 – page 222 B. Exercise 9ac – page 234 C. Exercise 9 – page 256 D. Exercise 43e – page 259 E. Exercise 5 – page 266 F. Exercise 9 – page 266