Assignment 4

  1. Write a paragraph discussing the following terms, how they are related, and how they are different: population, sample, parameter, and statistic.

 

  1. Write at least two sentences discussing the difference between descriptive and inferential statistics.

 

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  1. Consider the table of test scores below:
36 16 61 97 27
37 64 59 91 81
86 39 56 85 26
36 51 18 68 69
78 61 49 29 82

 

  1. Find the Mean.
  2. Find the Median.
  3. Find the Mode.
  4. Discuss which of these statistics you would use to describe this set of test scores and back up your choice with some reasoning from the book or from your notes.

 

 

 

 

 

  1. Please examine the distributions below. They represent scores on students’ midterms in forensics.  Each class was taught by the same teacher, but she used a different teaching strategy.  Different strategies may have produced different outcomes.  Are the scores different?  How would you rule out random chance in creating these distributions?

 

 

Class A Class B
100 100
92 95
85 93
81 90
80 89
71 82
71 80
67 79
61 78
57 77
56 76
55 76
52 75
51 69
45 63
42 57
41 56
40 55
38 54
34 48

 

 

  1. Which statistical test would you use?
  2. Give a brief one-sentence statement that led you to choose that test.
  3. Provide your null (H0) and alternative (Ha) hypothesis.
  4. Perform the test.
  5. What is your statistic?
  6. Which value are you comparing it to (critical value)?
  7. What decision does this inform you to make?
  8. Write a one or two sentence conclusion.
  9. What limitations or other considerations would you point out for this study?

 

 

  1. An education professor wanted to know if a new required online tutoring program helped students improve their understanding of concepts. He gave students a pre-test at the beginning of the semester, and then ended the semester with a post-test measuring the same information as the pre-test.  Were his students scores improved?

 

Student Pre-test Post-test
A 100 100
B 92 95
C 85 93
D 81 90
E 80 89
F 71 82
G 71 80
H 71 79
I 71 78
J 57 76
K 56 76
L 55 76
M 52 76
N 51 69
O 51 68
P 51 57
Q 41 56
R 40 56
S 38 56
T 34 48

 

  1. Which statistical test would you use?
  2. Give a brief one-sentence statement that led you to choose that test.
  3. Provide your null (H0) and alternative (Ha) hypothesis.
  4. Perform the test.
  5. What is your statistic?
  6. What decision do you make?
  7. What informed you to make that decision?
  8. Write a one or two sentence conclusion.
  9. What limitations or other considerations would you point out for this study?

 

 

  1. A professor tests whether the loudness of noise during an exam (low, medium, high) is independent of exam grades (pass, fail). The following table shows the observed frequencies for this test.

 

    Noise Level  
    Low Medium High  
 

Exam

 Pass 20 18 8 46
Fail 8 6 10 24
    28 24 18 N=70

 

 

  1. Which statistical test would you use?
  2. Give a brief one-sentence statement that led you to choose that test.
  3. Provide your null (H0) and alternative (Ha) hypothesis.
  4. Perform the test.
  5. What is your statistic?
  6. What decision do you make?
  7. What informed you to make that decision?
  8. Write a one or two sentence conclusion.
  9. What limitations or other considerations would you point out for this study?

 

 

 

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