A new diet has been developed for raising beef cows Two rand

A new diet has been developed for raising beef cows. Two random samples of size 9 are independently selected, and one is given the standard diet and the other is given the new diet. After eighteen weeks, the weight gain was measured, and it was found that 1 x = 30 kg with 1 s = 8 kg and 2 x = 26 kg with 2 s = 6 kg. Let µ 1 and µ 2 represent the mean weight gain we would observe for the entire population of beef cows when on, respectively, a new diet and a standard diet. Assume that two-sample t procedures are safe to use.

1 A 99% confidence interval for µ 1 – µ 2 is

2Suppose the researcher had wished to test the following hypotheses: H0 : µ 1 = µ 2 vs. Ha : µ 1 > µ 2 The numerical value of the two-sample t statistic is

3 Suppose the researcher had wished to test the following hypotheses: H0 : µ 1 = µ 2 vs. Ha : µ 1 > µ 2 The P-value for the test is

Solution