n a study conducted in the Science Department of Faculty of Science, Technology and Human Development in a University; the researcher examined the influence of the drug succinylcholine on the circulation levels of androgens in the blood. Blood samples from wild, free-ranging deer were obtained via the jugular vein immediately after an intramuscular injection of succinylcholine using darts and a capture gun. Deer were bled again approximately 30 minutes after the injection and then released. The level of androgens at time of capture and 30 minutes later, measured in nanograms per milliliter (ng/ml), for 15 deers as in Table Q1.  Assuming that the populations of androgen at time of injection and 30 minutes later are normally distributed: i) Find the average and standard deviation of this study ii)Determine the critical region of this problem. iii) Test at the 0.05 level of significance whether the androgen concentrations are altered after 30 minutes of restraint.

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In a study conducted in the Science Department of Faculty of Science, Technology and Human Development in a University; the researcher examined the influence of the drug succinylcholine on the circulation levels of androgens in the blood. Blood samples from wild, free-ranging deer were obtained via the jugular vein immediately after an intramuscular injection of succinylcholine using darts and a capture gun. Deer were bled again approximately 30 minutes after the injection and then released. The level of androgens at time of capture and 30 minutes later, measured in nanograms per milliliter (ng/ml), for 15 deers as in Table Q1. 

Assuming that the populations of androgen at time of injection and 30 minutes later are normally distributed:

i) Find the average and standard deviation of this study

ii)Determine the critical region of this problem.

iii) Test at the 0.05 level of significance whether the androgen concentrations are altered after 30 minutes of restraint.

 

Table Q1
Time of
Differences of
Androgen
(ng/ml)
30 minutes after
Deer
androgen level
d
injection
injection
1
2.76
7.02
4.26
2
5.18
3.10
-2.08
3
2.68
5.44
2.76
4
3.05
3.99
0.94
5
4.10
5.21
1.11
6.
7.05
10.26
3.21
7
6.60
13.91
7.31
8
4.79
18.53
13.74
9
7.39
7.91
0.52
10
7.30
4.85
-2.45
11
11.78
11.10
-0.68
12
3.90
3.74
-0.16
13
26.00
94.03
68.03
14
67.48
94.03
26.55
15
17.04
41.70
24.66
Transcribed Image Text:Table Q1 Time of Differences of Androgen (ng/ml) 30 minutes after Deer androgen level d injection injection 1 2.76 7.02 4.26 2 5.18 3.10 -2.08 3 2.68 5.44 2.76 4 3.05 3.99 0.94 5 4.10 5.21 1.11 6. 7.05 10.26 3.21 7 6.60 13.91 7.31 8 4.79 18.53 13.74 9 7.39 7.91 0.52 10 7.30 4.85 -2.45 11 11.78 11.10 -0.68 12 3.90 3.74 -0.16 13 26.00 94.03 68.03 14 67.48 94.03 26.55 15 17.04 41.70 24.66
d-d
Given T =
Transcribed Image Text:d-d Given T =
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