Twenty laboratory mice were randomly divided into two groups of 10. Each group was fed according to a prescribed diet. At the end of 3 weeks, the weight gained by each animal was recorded. Do the data in the following table justify the conclusion that the mean weight gained on diet B was greater than the mean weight gained on diet A, at the ? = 0.05 level of significance? Assume normality. (Use Diet B - Diet A.) Diet A 12 14 8 5 7 8 14 6 6 7 Diet B 23 15 8 17 17 13 10 16 11 11 (a) Find t. (Give your answer co

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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Twenty laboratory mice were randomly divided into two groups of 10. Each group was fed according to a prescribed diet. At the end of 3 weeks, the weight gained by each animal was recorded. Do the data in the following table justify the conclusion that the mean weight gained on diet B was greater than the mean weight gained on diet A, at the ? = 0.05 level of significance? Assume normality. (Use Diet B - Diet A.)

Diet A 12 14 8 5 7 8 14 6 6 7
Diet B 23 15 8 17 17 13 10 16 11 11

(a) Find t. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer correct to four decimal places.)

(b) State the appropriate conclusion.
Reject the null hypothesis, there is significant evidence that diet B had a greater weight gain.Reject the null hypothesis, there is not significant evidence that diet B had a greater weight gain.    Fail to reject the null hypothesis, there is significant evidence that diet B had a greater weight gain.Fail to reject the null hypothesis, there is not significant evidence that diet B had a greater weight gain.
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