Question

(1 point) 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 ABCDEFGHIJ Test Score 88 81 94 73 96 77 84 91 71 67 Use a 0.01 significance level to test the claim that people do better with the new edition. Assume the standard deviation is 10.8. (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 99% confidence interval for the mean score for students using the new text. <<

Answer 1

The statistical software output for this problem is:

One sample Z hypothesis test: Mean of variable Hig = 75 H4>75 Standard deviation = 10.8 Hypothesis test results: Variable Sample Mean Std. Err. Z-Stat P-value Data 10 82.2 3.4152599 2. 1081851 0.0175

99% confidence interval results: Variable Sample Mean Std. Err. L. Limit U. Limit Data 10 82.2 3.4152599 73.402874 90.997126

From above output:

a) One tailed

b) Test statistic = 2.11

c) P - value = 0.0175

d) No

e) 99% CI:

73.4029 < $\mu$ < 90.9971