1. Performing a One-Sample t-TestThe data in STAT1.NormTemp c

1. Performing a One-Sample t-Test
The data in STAT1.NormTemp come from an article in the
Journal of Statistics Education by Dr. Allen L. Shoemaker from
the Psychology Department at Calvin College. The data are
based on an article in a 1992 edition of JAMA (Journal of the
American Medical Association), which questions
the notion that the true mean body temperature is 98.6. There
are 65 males and 65 females. There
is also some question about whether mean body temperatures
for women are the same as for men. The variables in the data set
are as follows:
ID Identification number
BodyTemp Body temperature (degrees Fahrenheit)
Gender Coded (Male, Female)
HeartRate Heart rate (beats per minute)
a. Look at the distribution of the continuous variables in the
data set using PROC UNIVARIATE, including producing
histograms and insets with means, standard deviations and
sample size.
b. Perform a one-sample t-test to determine whether the mean
of body temperatures (the variable BodyTemp in
STAT1.NormTemp) is 98.6. Produce a confidence interval plot
of BodyTemp with the value 98.6 used as a reference.
1) What is the value of the t statistic and the corresponding p-
value?
2) Do you reject or fail to reject the null hypothesis at the
0.05 level that the average temperature
2. Using PROC TTEST for Comparing Groups
Elli Sagerman, a Masters of Education candidate in German
Education at the University of North Carolina at Chapel Hill in
2000, collected data for a study. She looked at the effectiveness
of a new type of foreign language teaching technique on
grammar skills. She selected 30 students to receive tutoring; 15

received the new type of training during the tutorials and 15
received standard tutoring. Two students moved away from the
district before completing the study. Scores on a standardized
German grammar test were recorded immediately before the 12-
week tutorials and then again
12 weeks later at the end of the trial. Sagerman wanted to see
the effect of the new technique on grammar skills. The data are
in the STAT1.GERMAN data set.
Change Change in grammar test scores
Group The assigned treatment, coded Treatment and Control
Analyze the data using PROC TTEST. Assess whether the
treatment group improved more than
the control group.
a. Do the two groups appear to be approximately normally
distributed?
b. Do the two groups have approximately equal variances?
c. Does the new teaching technique seem to result in
significantly different change scores compared with the
standard technique?
Unit IV Assignment Worksheet
This worksheet is intended to help you develop the information
you will use to complete your Unit IV Essay. You are expected
to include the completed tables in your Unit IV Essay. The
additional questions after the tables are intended to help you
formulate your ideas concerning what you will write in your
essay.
NOTE: Just completing this worksheet does not constitute
completing the Unit IV Assignment. The information from the
worksheet must be incorporated into your essay submission.
Follow the instructions below.
Instructions:

1. Complete all parts of this Unit IV Assignment Worksheet.
2. Answer the questions listed after the tables; these will help
you formulate your ideas for writing the essay part of this unit’s
assignment. You are expected to expand on these questions in
your writing.
3. Include the tables and your question responses from this
worksheet as an appendix at the end of your essay.
On the following pages, you will be provided with tables
showing the different levels of output that are possible as the
number of workers used per day changes. Using the information
you learned from this unit’s textbook readings for this class as
well as the information in the Unit IV Lesson, include the
following:
1. Complete the two tables below; one is for production of
concession stand item sales while the other is for production of
movie ticket sales.
2. Answer all of the questions listed below each table; as
mentioned, these answers will help you when formulating your
thoughts for the essay part of your Unit IV Assignment.
Number of Workers per Day
Concession Items Produced per Day
Average Product
Marginal Product
Average Price of Concession Items
Total Value Product
Average Value Product

Marginal Value Product
Price of Worker per Day
0
0
$8.00
$120.00
2
100
$8.00
$120.00

$120.00
20
1,290
$8.00
$120.00

Questions: Use these questions to help you formulate your ideas
for writing the Unit IV Essay.
Using the information from the table you completed, answer the
following questions:
1. At what number of workers used per day does the law of
diminishing marginal returns begin? How did you determine
this number?

2. At what number of workers used per day does negative
marginal returns begin? How did you determine this number?
3. What similarities do you see between the shape of the
Average Product curve and the Average Value Product Curve?
4. What similarities do you see between the Marginal Product
curve and the Marginal Value Product curve?
5. What is the optimal number of workers per day to use at the
theater’s concession stand to produce concession stand item
sales? How did you determine this optimal number?
Number of Workers per Day
Movie Tickets Produced per Day
Average Product
Marginal Product
Average Price of Movie Tickets
Total Value Product
Average Value Product

Marginal Value Product
Price of Worker per Day
0
0
$10.00
$120.00
1
227
$10.00
$120.00

6
1,631
$10.00
$120.00
7
1,788

$120.00
10
1,789
$10.00
$120.00

Questions: Use these questions to help you formulate your ideas
for writing the Unit IV Essay.
Using the information from the table you completed, answer the
following questions:
1. At what number of workers used per day does the law of
diminishing marginal returns begin? How did you determine this
number?
2. At what number of workers used per day do negative
marginal returns begin? How did you determine this number?

3. What is the optimal number of workers per day to produce
movie ticket sales? How did you determine this optimal level?

1. Performing a One-Sample t-TestThe data in STAT1.NormTemp c

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1. Performing a One-Sample t-TestThe data in STAT1.NormTemp c