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Minitab Assignment 3: Confidence Intervals & Null Hypotheses - Prof. Chris Caldwell, Assignments of Probability and Statistics

Instructions for math 210 students in dr. Caldwell's fall 2009 class for completing assignment three using minitab. The goal is to understand confidence intervals and hypothesis testing, specifically confidence level and level of significance. Students are required to generate 100 columns of random normal data, perform a hypothesis test to determine if the population mean is 5, and identify the number of confidence intervals that do not include the population mean, as well as the number of rows where the null hypothesis should be rejected at α = 0.10.

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2009/2010

Uploaded on 02/25/2010

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Math 210: Dr. Caldwell Fall 2009
Minitab Assignment Three
Instructions: Turn in by 3pm Friday November 20. Clearly label each part of this problem on
your paper. Do not print out the data sets, just the session window. Do not copy another
student’s work or permit another student to copy yours.
Our goal with this assignment is to better understand confidence intervals and hypothesis testing,
especially what confidence level and level of significance represent.
First generate 100 columns each with 100 rows of random normal data (Calc | random data | normal;
columns “C1C100”, number of rows: 100; mean 5; Std. Dev 4.) So you will now have 100 samples
all from the same normal population.
Now perform a hypothesis test to test the claim that the mean of the population is 5--which it is! (Stat |
basic stats | 1-sample-t; check “perform hypothesis test” with mean 5; select rows “C1C100”)
Now print out that session window (not all of the data!). We will finish by hand.
a. Circle (or highlight) the 95% confidence intervals which do not include the population mean.
(They all include the sample mean!)
b. How many are there? How many should you expect there to be on the average?
c. Put check marks by the rows for which we would reject the null hypothesis at α = 0.10.
d. How many are there of each? How many should you expect there to be on the average?

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Math 210: Dr. Caldwell Fall 2009

Minitab Assignment Three

Instructions: Turn in by 3pm Friday November 20. Clearly label each part of this problem on your paper. Do not print out the data sets, just the session window. Do not copy another student’s work or permit another student to copy yours.

Our goal with this assignment is to better understand confidence intervals and hypothesis testing, especially what confidence level and level of significance represent.

First generate 100 columns each with 100 rows of random normal data (Calc | random data | normal;

columns “C1−C100”, number of rows: 100; mean 5; Std. Dev 4.) So you will now have 100 samples

all from the same normal population.

Now perform a hypothesis test to test the claim that the mean of the population is 5--which it is! (Stat |

basic stats | 1-sample-t; check “perform hypothesis test” with mean 5; select rows “C1−C100”)

Now print out that session window (not all of the data!). We will finish by hand.

a. Circle (or highlight) the 95% confidence intervals which do not include the population mean. (They all include the sample mean!)

b. How many are there? How many should you expect there to be on the average?

c. Put check marks by the rows for which we would reject the null hypothesis at α = 0.10.

d. How many are there of each? How many should you expect there to be on the average?