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...

Extracted 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.