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 a = 0.05 level of significance? Assume normality. (Use Diet B Diet A.) Diet A 12 8 12 5 9. 9. 13 14 12 Diet B 23 21 8 12 9 12 23 23 17 21

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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 a = 0.05 level of significance? Assume normality. (Use Diet B
Diet A.)
Diet A
6.
12 8
12
9
9.
13
14
12
Diet B
23
21
8.
12
9.
12
23
23
17
21
(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.
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.
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 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 a = 0.05 level of significance? Assume normality. (Use Diet B Diet A.) Diet A 6. 12 8 12 9 9. 13 14 12 Diet B 23 21 8. 12 9. 12 23 23 17 21 (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. 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. O Fail to reject the null hypothesis, there is not significant evidence that diet B had a greater weight gain.
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