A study is conducted to determine if a newly designed text book is more helpful

Question

A study is conducted to determine if a newly designed text book is more helpful to learning the material than the old edition. The mean score on the final exam for a course using the old edition is 75. Scores follow a normal distribution. Ten randomly selected people who used the new text take the final exam. Their scores are shown in the table below.

Person A BCDEFGHIJ Test Score 9571 97 7390 85 83 786887 Use a 0.05 significance level to test the claim that people do better with the new edition (1.) What kind of test should be used? A. One-Tailed B. Two-Tailed C. It does not matter. (2.) The test statistic is (3.) The P-value is (4.) Is there sufficient evidence to support the claim that people do better than 75 on this exam? (rounded to 2 decimals) OA. Yes B. No (5) Construct a 95% confidence interval for the mean score for students using the new text

Explanation / Answer

Solution:- Given test score: 95,71,97,73,90,85,83,78,68,87

X = 82.7 , = 10.0117

1) option A. one -tailed

2) test statistic = (82.7 - 75)/(10.0117/sqrt(10)) = 2.43

3) The p-value is 0.019

4) option A. yes

5) => X +/- t*sd/sqrt(n)
= 82.7 +/- 2.262*10.0117/sqrt(10)
= (75.54 , 89.86)

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