Question

For each of the following situations, identify the response variable and the populations to be compared, and give I, the n_i, and N.

(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 35 of his hens to each of the three treatments.
Response variable:

[ } diet cholesterol level

[ ] caloric intake     

[ ] number of marketable

[ ] eggs laidegg cholesterol level

[ ] number of hens

Populations: (Select all that apply.)

[ ] all eggs laid on a farm

[ ] hens on an all-vegetarian diet

[ ] eggs with different cholesterol levels

[ ] all hens on a farm

hens on a standard diet and receiving one of two cholesterol-lowering drugs

I	=
n1	=
n2	=
n3	=
N	=

(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 five-point scale. She received 92 responses, of which 33 were from students who attend varsity football or basketball games only, 18 were from students who also attend other varsity competitions, and 41 who did not attend any varsity games.
Response variable:

[ ] acceptance rating on a five-point scale

[ ] amount of annual fee paid     

[ ] varsity sport played

[ ] number of students who attend varsity games

[ ] number of games attended

Populations: (Select all that apply.)

[ ] students who attend varsity football or basketball games

[ ] students who pay an annual fee

[ ] students who do not attend any varsity games

[ ] students who attend other varsity competitionsstudents who play sports

I	=
n1	=
n2	=
n3	=
N	=

(c) A professor wants to evaluate the effectiveness of his teaching assistants. In one class period, the 42 students were randomly divided into three equal-sized groups, and each group was taught power calculations from one of the assistants. At the beginning of the next class, each student took a quiz on power calculations, and these scores were compared.
Response variable:

[ ] number of questions on the quiz

[ ] quiz score     

[ ] course grade

[ ] rating of the assistant on a five-point scale

[ ] rating of the professor on a five-point scale

Populations: (Select all that apply.)

[ ] all students at the school

[ ] the three teaching assistants

[ ] students passing the course

[ ] students in the three TA groups

[ ] students who like their TA

I	=
n1	=
n2	=
n3	=
N	=

Answer 1

solution:

a)response variable is eggs laid egg cholesterol level

population:hens on an all-vegetarian diet,hens on a standard diet and receiving one of two cholesterol-lowering drugs.

I=3 ,n1 = 35, n2=35, n3= 35, N =105

b)response variable is acceptance rating on a five-point scale

population:students who attend varsity football or basketball game

students who do not attend any varsity games

students who attend other varsity competitions students who play sport

I = 3, n1 = 33, n2=18, n3 = 41, N= 92

c) response variable is quiz score   

population  students in the three TA groups

  I = 3, n1 = 14,n2= 14, n3=14, N= 42