Assignment 3 for 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 #3
(Due in class the day of Exam 3)
Directions:
Print off graphs such as histograms, boxplots, etc. when asked to obtain them.
Do NOT print off the data set! This is simply a waste of paper.
Any output such as means or standard deviations that is obtained using Minitab should be
printed. These should not simply be written by hand. For this kind of output, please
label your answers so they are easy to find (i.e. 2a, 4b, etc). Just place the label next to
the output by hand.
Some things need to be done by hand such as counting the number of observations
greater than 4.
When you work with someone, do not turn in the assignment for both but instead, turn in
only 1 assignment with both of your names on it.
If you don't know how to do something, you must ask. It is not acceptable to simply say
that you don't know. Points will be deducted.
Do not clutter the Minitab output by placing your explanation on it. But, instead, place
your explanation on a separate piece of paper.
Do not use the calculator to solve the problem when the instructions clearly state to use
Minitab.
If you have more than 1 page, you will need to staple all pages together. Do not simply
fold the corner over or use a paper clip.
If this is not turned in during class time on the day it is due, it is considered late and will
not be accepted except under extreme circumstances.
1. This is a simulation to understand the meaning of the level of confidence (80%, 90%, 95%, etc.)
for confidence intervals.
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Math 210 – Minitab Assignment # (Due in class the day of Exam 3) Directions:  Print off graphs such as histograms, boxplots, etc. when asked to obtain them.  Do NOT print off the data set! This is simply a waste of paper.  Any output such as means or standard deviations that is obtained using Minitab should be printed. These should not simply be written by hand. For this kind of output, please label your answers so they are easy to find (i.e. 2a, 4b, etc). Just place the label next to the output by hand.  Some things need to be done by hand such as counting the number of observations greater than 4.  When you work with someone, do not turn in the assignment for both but instead, turn in only 1 assignment with both of your names on it.  If you don't know how to do something, you must ask. It is not acceptable to simply say that you don't know. Points will be deducted.  Do not clutter the Minitab output by placing your explanation on it. But, instead, place your explanation on a separate piece of paper.  Do not use the calculator to solve the problem when the instructions clearly state to use Minitab.  If you have more than 1 page, you will need to staple all pages together. Do not simply fold the corner over or use a paper clip.  If this is not turned in during class time on the day it is due, it is considered late and will not be accepted except under extreme circumstances.

  1. This is a simulation to understand the meaning of the level of confidence (80%, 90%, 95%, etc.) for confidence intervals.

Step 1: Generate random data that is normally distributed with mean 58 and population standard deviation 3. Create 15 rows and 50 columns. If you are not sure how to do this, refer to the steps in Minitab Assignment #1. Step 2: Obtain a 90% confidence interval for the population mean for all 50 columns. Do this by going to {Stat / Basic Statistics / 1-Sample Z…} Select columns C1-C50 as your samples. Enter the population standard deviation. Select “Options” and you can choose the level of confidence. Click “OK” twice. Print the 50 confidence intervals that Minitab provides. Do not write these down by hand! Answer these questions: A. For the 50 confidence intervals that you printed out, place an arrow to the right of those that contain the true mean (not sample mean, population mean!). B. What percentage of the 50 confidence intervals contain the true mean? C. If you ran this simulation again, what percentage of the confidence intervals would you expect to contain the true mean? You may want to run this simulation a few times to answer this question.

  1. Use Minitab to work each of the following problems from the book. You must provide the output from Minitab. Do not simply write the output by hand. Write the problem next to the output (such as 2A, 2B, etc). Click this link (Ctrl + Left Click) if you are having trouble: Minitab Help or come to my office. The examples in the link explain confidence intervals but not hypothesis testing. If the hypothesis testing questions are unclear, come see me. A. Exercise 33a – page 334 B. Exercise 13 – page 346 C. Exercise 21 – page 361 D. Exercise 5ac – page 414 E. Exercise 11 – page 423 F. Exercise 13 – page 432