Student Math Test Score English Test Score 1 30 25 2 28 26 3 29 27 4 20 30 5 18 16 6 20 16 7 29 25 8 29 26 9 30 27 10 26 30 11 28 15 12 19 15 13 19 15 14 26 16 15 29 27 a. Find the confidence interval and margin of error in the difference of the mean of two subjects at 90% confidence level. Interpret. b. What is the minimum sample size necessary if the goal is 30% margin of error. The estimate is 95% confidence interval of the proportion of students who show interest in English subject, and previous record shows that 30% of stidents are interested.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Student Math Test Score English Test Score
1 30 25
2 28 26
3 29 27
4 20 30
5 18 16
6 20 16
7 29 25
8 29 26
9 30 27
10 26 30
11 28 15
12 19 15
13 19 15
14 26 16
15 29 27

a. Find the confidence interval and margin of error in the difference of the mean of two subjects at 90% confidence level. Interpret.

b. What is the minimum sample size necessary if the goal is 30% margin of error. The estimate is 95% confidence interval of the proportion of students who show interest in English subject, and previous record shows that 30% of stidents are interested.

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