Twenty laboratory mice were randomly divided into two groups of 10. Each group w
ID: 3134772 • Letter: T
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.)
(a) Find t. (Give your answer correct to two decimal places.)
(ii) Find the p-value. (Give your answer correct to four decimal places.)
Explanation / Answer
a)
Formulating the null and alternative hypotheses,
Ho: ud >= 0
Ha: ud < 0
At level of significance = 0.01
As we can see, this is a left tailed test.
Calculating the standard deviation of the differences (third column):
s = 7.788880964
Thus, the standard error of the difference is sD = s/sqrt(n):
sD = 2.463060427
Calculating the mean of the differences (third column):
XD = 5
As t = [XD - uD]/sD, where uD = the hypothesized difference = 0 , then
t = 2.029994857 [ANSWER]
****************************
ii)
df = n - 1 = 9
Also, using p values, as this is right tailed,
p = 0.03646752 [ANSWER, P VALUE]
****************************
As P < 0.05, we reject Ho.
There is significant evidence at 0.05 level that the mean weight gained on diet B was greater than the mean weight gained on diet A. [CONCLUSION]
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.