Tuesday, September 1, 2015

Assessment

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)

Compute the Correlation Coefficient by hand. (Show your work, there is more space on the next page)
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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