Statistics Analysis Question

Quiz 2 – Fall IG 2019

1. Here are data regarding class size and students meeting the state benchmarks on assessment. Classes are ranked from smallest to largest (1-10), and classes with students passing the benchmarks are ranked from highest to lowest (1-10). So the smallest class is ranked one, and the largest class ranked 10. The class with most students passing the benchmark is ranked one, and the class with the least students passing the benchmark is 10. Is class size related to passing rate? Select the appropriate test, compute the results, and analyze the data.

Actual number of students in class	Class Size Rank	Actual number passing benchmark	Passing benchmark Rank
15	1	15	2
16	2	16	1
17	3	13	4
18	4	14	3
19	5	11	6
20	6	12	5
21	7	8	9
22	8	9	8
23	9	7	10
25	10	10	7

0. Which statistical test would you use?

0. Give a brief one-sentence statement that led you to choose that test.

0. Provide your null (H0) and alternative (Ha) hypothesis.

0. Perform the test.

0. What is your statistic?

0. Which value are you comparing it to (critical value)?

0. What decision does this inform you to make?

0. Write a one or two sentence conclusion.

0. What limitations or other considerations would you point out for this study?

1. Mr. Jones wanted to check if there was an observable impact of a particular worksheet on his students’ test scores for Chapter 1. His idea was to test if there was a significant variation in the average test score of the class that used the worksheet in comparison to the class that did not. In the class before lunch, he used the worksheet but not the one after lunch. He has 23 students in this class. Their test scores are below:

Before Lunch	After Lunch
58	79	23	67
59	45	74	46
39	67	38	90
81	80	14	79
32	72	38	63
35	21	11	38
31	60	18	56
57	20	44	70
68	43	27	33
24	16	16	31
31	58	24	30
82		17

a. Which statistical test would you use?

b. Give a brief one-sentence statement that led you to choose that test.

c. Provide your null (H0) and alternative (Ha) hypothesis.

d. Perform the test.

e. What is your statistic?

f. Which value are you comparing it to (critical value)?

g. What decision does this inform you to make?

h. Write a one or two sentence conclusion.

i. What limitations or other considerations would you point out for this study?