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 α = 0.05 level of significance? Assume normality. (Use Diet B - Diet A.)

Diet A	9	9	12	12	12	14	6	14	14	9
Diet B	11	19	22	6	16	9	23	10	8	8

(a) Find t. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer correct to four decimal places.)

Answer 1

A)

from above test statistic t =0.83

B)

p value =0.2140 ( plese try 0.2145 if this comes wrong due to rounding error)