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 while the other is given the new diet. After 18 weeks, the weight gain was measured for each cow. It was found that x̄₁= 30 with S₁= 8 and x̄₂= 26 with S₂= 6. Let μ₁ and μ₂ represent the mean weight gains 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. To which value are the degrees of freedom for these t procedures closest?

Question

Quizplus · Accepted Answer

The degrees of freedom for a two-sample t-test is given by the formula df = n1 + n2 - 2, where n1 and n2 are the sample sizes. In this case, n1 = n2 = 9, so df = 9 + 9 - 2 = 16. The closest value to 16 among the choices is 14.

A New Diet Has Been Developed for Raising Beef Cows