Statistics Analysis Question Assignment

Statistics Analysis Question Assignment

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Quiz 2 – Fall IG

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 classClass Size RankActual number passing benchmarkPassing benchmark Rank
151152
162161
173134
184143
195116
206125
21789
22898
239710
2510107

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 LunchAfter Lunch
58792367
59457446
39673890
81801479
32723863
35211138
31601856
57204470
68432733
24161631
31582430
8217

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?

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