NorthWest Arkansas Community College Inferential Statistics Questions
Question Description
Question 1
School leadership teams would like to know if there is any correlation between an athlete’s grade and the number of days missed for events.Use the chart below to give your conclusion.You are expected to identify what method of analysis you are using and write a one to three sentence conclusion using APA format of reporting the appropriate statistic.
|
Grade |
Classes Missed |
|
75 |
2 |
|
90 |
4 |
|
45 |
8 |
|
47 |
4 |
|
90 |
1 |
|
100 |
0 |
|
93 |
1 |
|
85 |
0 |
|
77 |
5 |
|
94 |
6 |
|
42 |
6 |
|
40 |
7 |
|
73 |
4 |
|
64 |
5 |
|
70 |
3 |
|
59 |
3 |
|
59 |
4 |
|
75 |
2 |
|
85 |
2 |
|
85 |
0 |
|
90 |
1 |
|
100 |
0 |
|
90 |
0 |
|
80 |
1 |
|
78 |
2 |
|
75 |
0 |
|
88 |
1 |
|
64 |
5 |
|
72 |
2 |
Question 2
|
Used Calculators |
Did not use Calculators |
|
86 |
81 |
|
59 |
74 |
|
98 |
73 |
|
81 |
86 |
|
32 |
71 |
|
35 |
79 |
|
31 |
78 |
|
57 |
57 |
|
68 |
88 |
|
24 |
66 |
|
31 |
84 |
|
82 |
76 |
|
48 |
86 |
|
74 |
99 |
|
61 |
94 |
|
71 |
30 |
|
78 |
61 |
|
42 |
71 |
|
64 |
42 |
|
35 |
52 |
|
79 |
96 |
|
62 |
87 |
|
44 |
69 |
|
44 |
59 |
|
82 |
31 |
|
67 |
81 |
|
31 |
44 |
|
56 |
39 |
|
96 |
73 |
Mrs. Jones wanted to determine if allowing the use of calculators on her exam would impact the scores of her two classes.On the first exam, she allowed one class to use a basic calculator, but she did not allow the other class to use anything but scratch paper.The students were notified in advance of whether they would be allowed a calculator or not, and all students who were allowed to use a calculator did have a calculator during the time of the exam.Their test scores are below.Determine if the use of the calculator impacted student performance on the first exam.You are expected to perform a complete analysis by showing your work and writing a one-to-three sentence conclusion using APA format to report your statistics.The following questions will guide you to a complete solution:
- What statistical test will you use?
- Identify both your null (H0) and alternative (Ha) hypotheses.
- Calculate the appropriate statistic.
- Given the statistic and its corresponding p-value, what decision does this inform you to make? (You may use the critical value from the charts in the book or you may use the p-value provided by the calculation, but you must indicate which one you are using and the decision that you make.)
- Write a one to three sentence conclusion that reports your statistics in APA format and answers the research question from the problem.
- Identify any limitations that may exist in this experiment.
