Question

For each of the following situations, give the degrees of freedom for the group (DFG), for error (DFE), and for theotal (DFT). State the null and alternative hypotheses, Ho and H numerator and denominator degrees of freedom for the F statistic. and give the (a) A poultry farmer is interested in reducing the cholesterol level in his marketable eggs. He wants to compare two different cholesterol-lowering drugs added to the hen's standard diet as well as an all-vegetarian diet. He assigns 50 of his hens to each of the three treatments. DFG= 2 DFE = DFT The all-vegetarian diet group has a lower mean cholesterol level All groups have the same mean cholesterol level. All groups have different mean cholesterol levels. The all-vegetarian diet group has a higher mean cholesterol level At least one group has a different mean cholesterol level The all-vegetarian diet group has a higher mean cholesterol level All groups have different mean cholesterol levels. The all-vegetarian diet group has a lower mean cholesterol level. All groups have the same mean cholesterol level At least one group has a different mean cholesterol level numerator df denominator df 47 (b) A researcher is interested in students' opinions regarding an additional annual fee to support non-income-producing varsity sports. Students were asked to rate their acceptance of this fee on a seven-point scale. She received 95 responses, of which 30 were from students who attend varsity football or basketball games only, 17 were from students who also attend other varsity competitions, and 48 who did not attend any varsity games. DFG= 2 DFE = DFT =

Answer 1

a)dfG=2

dfE =N-k=150-3 =147

dfT =149

Ho: All group have the same...

Ha:at least one group have different..

numerator df =2

denominator df=147

b)

dfG =2

DFE =95-3=92

DFT =94