A researcher wants to determine the effect of exercise and gravitational pull on
ID: 51342 • Letter: A
Question
A researcher wants to determine the effect of exercise and gravitational pull on the height of Venusians. Three groups of 10 Venusians are randomly selected from the entire population of 150 Venusians (you can refer to the raw data provided in Homework 1 if needed). The first group is the “High Gravity” group that board a spaceship and travel to Jupiter where the gravitation pull is approximately 2.6 times that of Venus. The second group is the “Low Gravity” group; they board a spaceship and travel to Mars where the gravitational pull is approximately 40% of Venus’ gravitational pull. The third group is the “Control” group and they will stay on Venus and perform the same series of exercises.
High Gravity
Low Gravity
Control
venusian #
height
venusian #
height
venusian #
height
4
13
13
18
45
15
12
15
14
17
57
15
32
8
16
16
46
14
54
9
18
15
104
14
64
10
28
17
132
16
78
12
37
18
43
9
81
10
48
16
138
19
100
11
53
11
67
17
103
12
70
20
71
18
147
11
137
18
33
13
(20 Points) The Null Hypothesis for this experiment is that gravity does not have an effect on the height of Venusian. Do you accept or reject the Null Hypothesis based on the data provided? The Critical Value for F that corresponds to P<0.05 for 3 groups of 10 samples each is 3.35.
(20 Points) Use the data above to compare the High Gravity group to the Control group. The Null Hypothesis for this experiment is that exercise in high gravity has no effect on Venusian height. The critical value for t that corresponds to P<0.05 is 2.101.
(20 Points) Use the data above to compare the Low Gravity group to the Control group. The Null Hypothesis for this experiment is that exercise in high gravity has no effect on Venusian height. The critical value for t that corresponds to P<0.05 is 2.101.
High Gravity
Low Gravity
Control
venusian #
height
venusian #
height
venusian #
height
4
13
13
18
45
15
12
15
14
17
57
15
32
8
16
16
46
14
54
9
18
15
104
14
64
10
28
17
132
16
78
12
37
18
43
9
81
10
48
16
138
19
100
11
53
11
67
17
103
12
70
20
71
18
147
11
137
18
33
13
Explanation / Answer
a)
The null hypothesis states that the gravity does not have an effect on the height of Venusian. Since P- value (< 0.05) corresponding the critical value for F (3.35) is nonsignificant, the null hypothesis can be accepted.
b)
The null hypothesis states that the high gravity does not have an effect on the height of Venusian. Since P- value (< 0.05) corresponding the critical value for F (2.101) is nonsignificant, the null hypothesis can be accepted.
c)
The null hypothesis states that the low gravity does not have an effect on the height of Venusian. Since P- value (< 0.05) corresponding the critical value for F (2.101) is nonsignificant, the null hypothesis can be accepted.
Since, the null hypothesis is accepted for all 3 groups of 10 samples with critical value for F corresponding to P - value is greater than p - value and is nonsignificant the null hypothesis can be accepted and it is applicable in case of both the high gravity and low gravity groups in comparison with the control group.
Therefore, in all 3 experimental cases the gravity is independent of height of Venusian.
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