Answered: Twenty laboratory mice were randomly…

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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Question

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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