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

ID: 3224937 • 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. Use a 0.01 significance level to test the claim that people do better with the new edition. Assume the standard deviation is 10.6. (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?

Explanation / Answer

a) one tailed tesst

b) test stat t=2.38

c) p value =0.0205

d) Yes there is sufficient evidence as p value is greater then 0.05 level

X 74 93 96 77 86 89 81 67 92 71 mean(X) 82.600 std deviation(S) 10.080 std error =S/(n)1/2 3.187 t=(X-mean)/std error 2.384 p value 0.020