Diet A 7 14 5 11 8 10 11 8 Diet B 18 15 22 9 22 8 22 14 1

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
Problem 8CR
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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 I
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 gainec
on diet A, at the a = 0.05 level of significance? Assume normality. (Use Diet B - Diet A.)
Diet A
7
14
5
11
8.
10 11
8
9.
14
Diet B
18 15 22 9 22
8
22 14 16 19
(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.
O Reject the null hypothesis, there is significant evidence that diet B had a greater weight gain.
O Reject the null hypothesis, there is not significant evidence that diet B had a greater weight gain.
O Fail to reject the null hypothesis, there is significant evidence that diet B had a greater weight gain.
O Fail to reject the null hypothesis, there is not significant evidence that diet B had a greater weight gain.
Transcribed Image Text: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 I 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 gainec on diet A, at the a = 0.05 level of significance? Assume normality. (Use Diet B - Diet A.) Diet A 7 14 5 11 8. 10 11 8 9. 14 Diet B 18 15 22 9 22 8 22 14 16 19 (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. O Reject the null hypothesis, there is significant evidence that diet B had a greater weight gain. O Reject the null hypothesis, there is not significant evidence that diet B had a greater weight gain. O Fail to reject the null hypothesis, there is significant evidence that diet B had a greater weight gain. O Fail to reject the null hypothesis, there is not significant evidence that diet B had a greater weight gain.
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