A 3rd grade teacher saw several students get over heated on the playground, and
ID: 2924789 • Letter: A
Question
A 3rd grade teacher saw several students get over heated on the playground, and wanted to know if spraying the kids on the face right before they entered the playground would help them not get so hot. The kids would tend to go to the water fountain when getting hot, so the teacher used the number of times the water fountain was used by each child as the dependent variable. She had 3 conditions: no spray, 1 pump of spray, 2 pumps of spray. She did the 3 conditions over 3 days that were similar in temperature (about 85 degrees) and used her class of 12 students. Here is the following data:
Student
No Spray
1 Pump Spray
2 Pumps Spray
A
4
4
3
B
4
3
3
C
3
3
2
D
4
3
2
E
2
1
2
F
0
1
1
G
3
0
1
H
2
3
2
I
4
2
1
J
3
3
2
K
4
3
3
L
3
4
2
You will be required to do the entire problem, so do it. Then I will ask you questions about your calculations, and each subsequent question will give you the answer to the prior question. So if you mess up you can know the correct answer and figure out the what happened. Only move on from this question after doing the whole problem (all the way through Fobserved and Fcritical). Okay, here is the first question. What is X2 ?
A. 270
B. 240
180
144
Student
No Spray
1 Pump Spray
2 Pumps Spray
A
4
4
3
B
4
3
3
C
3
3
2
D
4
3
2
E
2
1
2
F
0
1
1
G
3
0
1
H
2
3
2
I
4
2
1
J
3
3
2
K
4
3
3
L
3
4
2
Explanation / Answer
Ans:
Expected(E) A 4.4 3.67 2.93 11 B 4 3.33 2.67 10 C 3.2 2.67 2.13 8 D 3.6 3.00 2.40 9 E 2 1.67 1.33 5 F 0.8 0.67 0.53 2 G 1.6 1.33 1.07 4 H 2.8 2.33 1.87 7 I 2.8 2.33 1.87 7 J 3.2 2.67 2.13 8 K 4 3.33 2.67 10 L 3.6 3.00 2.40 9 Total 36 30 24 90 Chi square=(O-E)^2/E A 0.036 0.030 0.002 B 0.000 0.033 0.042 C 0.013 0.042 0.008 D 0.044 0.000 0.067 E 0.000 0.267 0.333 F 0.800 0.167 0.408 G 1.225 1.333 0.004 H 0.229 0.190 0.010 I 0.514 0.048 0.402 J 0.013 0.042 0.008 K 0.000 0.033 0.042 L 0.100 0.333 0.067 Total chi square score=6.885Related Questions
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