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. Ten randomly selected people who used the new text take the final exam. Their scores are shown in the table below. Person A B C D E F G H I J Test Score 80 70 88 86 91 93 96 75 73 69 Use a 0.01 significance level to test the claim that people do better with the new edition. Assume the standard deviation is 10.3. (Note: You may wish to use statistical software.) (a) What kind of test should be used? A. Two-Tailed B. One-Tailed C. It does not matter. (b) The test statistic is ? (rounded to 2 decimals). (c) The P-value is? (d) Is there sufficient evidence to support the claim that people do better than 75 on this exam? A. Yes B. No

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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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. Ten randomly selected people who used the new text take the final exam. Their scores are shown in the table below.

Person A B C D E F G H I J
Test Score 80 70 88 86 91 93 96 75 73 69

Use a 0.01 significance level to test the claim that people do better with the new edition. Assume the standard deviation is 10.3. (Note: You may wish to use statistical software.)

(a) What kind of test should be used?

A. Two-Tailed
B. One-Tailed
C. It does not matter.

(b) The test statistic is ? (rounded to 2 decimals).

(c) The P-value is?

(d) Is there sufficient evidence to support the claim that people do better than 75 on this exam?

A. Yes
B. No

(e) Construct a 99% confidence interval for the mean score for students using the new text.
? < μ < ?

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