Sample of various Mini-Experiments (Test prompts)
EXAM 1
Name:_________________________
Take Home Portion:
1. The mean and
standard deviation of the set {49, 23, 25, 24, 28, 28, 24, 26, 28, 30} are 28.5
and 7.15 respectively. Please give brief
explanations for each answer. (8 points)
·
What would the mean be if we added 7 to each
number in the set?
·
Would the standard deviation change if we added
7 to each number in the set?
·
What would happen to the mean and standard
deviation if we were to remove 49 from the list of numbers?
·
What if we were to include the number 32 in the
set of numbers? What would happen to the mean and standard deviation then?
2. Researchers interested in
determining if there is a relationship between death anxiety and religiosity
conducted the following study. Subjects
completed a death anxiety scale (high score=high anxiety) and also completed a
checklist designed to measure an individual’s degree of religiosity (belief in
a particular religion, regular attendance at religious services, number of
times per week they regularly pray, etc.) (high score=greater religiosity) (http://www2.webster.edu/~woolflm/correlation.html
including table) (5 points)
Based on this coefficient, is it safe to assume that being
religious causes less death anxiety? Explain.
3. Does the table
below reflect gender bias towards pets? Explain. (Hint: rewrite the table in
percentages) (5 points)
Preferred Pet
|
Dog
|
Cat
|
Other
|
Total
|
Boys
|
10
|
5
|
9
|
24
|
Girls
|
8
|
7
|
1
|
16
|
Totals
|
18
|
12
|
10
|
40
|
In Class:
4. Entry to a certain University
is determined by a national test. The
scores on this test are normally distributed with a mean of 500 and a standard
deviation of 100. Tom wants to be
admitted to this university and he know that he must score better than at least
79% of the students who took the test.
Tom takes the test and scores 585.
Will he be admitted to this university?
(6 points) http://www.analyzemath.com/statistics/normal_distribution.html
5. Leonardo da Vinci theorized that if you put
your arms out to the side and measured from the fingertip of one hand to the
fingertip of the other, this “wingspan” distance would approximately equal your
height. A group of fourth grade students
measured their height and wingspan and found:
Ave Height:
49.5 in, SD height: 1.8 in
Ave
Wingspan: 48.9 in, SD wingspan: 2.1 in
Predict the
wingspan of a randomly chosen fourth-grader who is 52 inches tall. Explain what your answer means. (6 points)
6. Compare the two
different distributions A and B. (6
points)
a) Describe the relationship between the mean and mode of A
and B
b) Which of the two is skewed, and is it positive or
negative?
c) What summary statistic determines how wide or spread out
the distribution is? How does this statistic change what the curve will look
like?
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