A study is conducted to determine if a newly designed text book is more helpful
ID: 3072951 • Letter: A
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. 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
Score 70 95 87 73 97 86 69 80 90 78
Use a 0.05 significance level to test the claim that people do better with the new edition. Assume the standard deviation is 10.4. (Note: You may wish to use statistical software.) (a) What kind of test should be used?
A. One-Tailed:
B. Two-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. No B. Yes
(e) Construct a 95% confidence interval for the mean score for students using the new text. <
Explanation / Answer
The statistical software output for this problem is:
One sample Z hypothesis test:
: Mean of variable
H0 : = 75
HA : > 75
Standard deviation = 10.4
Hypothesis test results:
95% confidence interval results:
Hence,
a) One-tailed
b) Test statistic = 2.28
c) P - value = 0.0113
d) Yes
e) 95% confidence interval:
76.05 < < 88.95
Variable n Sample Mean Std. Err. Z-Stat P-value Score 10 82.5 3.2887688 2.2804887 0.0113Related Questions
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