A farmer thinks that her chickens like music because they seem to lay more eggs

ID: 3221023 • Letter: A

Question

A farmer thinks that her chickens like music because they seem to lay more eggs on days when she plays her music loudly. To test her idea the farmer separated her chickens into two varieties, those that lay brown eggs and those that lay white eggs. These two large groups were further subdivided into four independent groups that listened to different types of music or none at all. One of these groups listened to Rock, one listened to Jazz, one listened to Pop, and the other group (a control group) did not listen to any music.

Rock (white eggs): 11 26 61 18

Rock (Brown eggs): 12 17 19 25

Jazz (white eggs): 35 42 31 33

Jazz (brown eggs): 52 78 41 73

Pop (white eggs): 10 25 26 40

Pop (brown eggs): 71 56 39 28

No music (white eggs): 12 13 13 28

No music (brown eggs): 24 48 27 60

The best analysis to answer the question, "Did the variety of chicken affect how many eggs were laid?" yields a test statistic with the value (a)__________ whose p value is (b)___________

Explanation / Answer

Answer:

Rock (white eggs): 11 26 61 18

Rock (Brown eggs): 12 17 19 25

Jazz (white eggs): 35 42 31 33

Jazz (brown eggs): 52 78 41 73

Pop (white eggs): 10 25 26 40

Pop (brown eggs): 71 56 39 28

No music (white eggs): 12 13 13 28

No music (brown eggs): 24 48 27 60

The best analysis to answer the question, "Did the variety of chicken affect how many eggs were laid?" yields a test statistic with the value (a) 8.84 whose p value is (b) 0.0066

Your answer

Two factor ANOVA

variety

Means:

White

Brown

Rock

29.0

18.3

23.6

music

Jazz

35.3

61.0

48.1

pop

25.3

48.5

36.9

no music

16.5

39.8

28.1

26.5

41.9

34.2

replications per cell

ANOVA table

Source

p-value

Music

2,798.38

932.792

4.36

.0138

Variety

1,891.13

1,891.125

8.84

.0066

Interaction

1,828.38

609.458

2.85

.0588

Error

5,137.00

214.042

Total

11,654.88