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 11 8 14 6 13 9 13 6 11 13 Diet B 18 11 7 13 15 12 21 16 19 12 (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.
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 11 8 14 6 13 9 13 6 11 13 Diet B 18 11 7 13 15 12 21 16 19 12 (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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 | 11 | 8 | 14 | 6 | 13 | 9 | 13 | 6 | 11 | 13 |
Diet B | 18 | 11 | 7 | 13 | 15 | 12 | 21 | 16 | 19 | 12 |
(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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