Question
Hi, I would like to check the answers for this and confirm the formulas tx. 1. You decide to further your research project by hypothesizing
Hi, I would like to check the answers for this and confirm the formulas tx.
1.You decide to further your research project by hypothesizing that thetrue average core body temperatureamidst higher ambient temperature and humidity levels for thepopulation who do not use electric fans isdifferent thanthose who do use electric fans, setting thelevel of significance at 1%for the formal hypothesis test. In other words, you extend your sampling to two samples instead of just one. You randomly sample 47 and 42 participants
Table 1. No Fans
Subject Core Body
Temperature (F)
1 110.8
2 109.2
3 110.8
4 110.0
5 111.3
6 111.3
7 111.9
8 110.5
9 110.8
10 111.2
11 108.9
12 110.1
13 111.3
14 110.4
15 111.6
16 110.8
17 110.4
18 110.5
19 110.2
20 110.6
21 110.9
22 112.1
23 111.7
24 109.6
25 110.8
26 111.0
27 109.9
28 110.5
29 110.9
30 110.2
31 110.6
32 110.7
33 110.8
34 110.4
35 110.8
36 110.6
37 110.5
38 109.1
39 111.0
40 109.7
41 111.0
42 112.2
43 112.3
44 111.8
45 111.4
46 110.6
47 110.2
Table 2. Fans
Subject Core Body
Temperature (F)
1 106.6
2 106.9
3 105.8
4 104.7
5 105.7
6 106.2
7 106.2
8 105.4
9 107.1
10 107.1
11 105.6
12 106.3
13 105.3
14 105.8
15 105.7
16 106.6
17 105.1
18 105.1
19 106.1
20 106.3
21 105.7
22 105.0
23 105.8
24 105.8
25 104.7
26 104.9
27 106.1
28 105.1
29 107.2
30 105.9
31 105.2
32 105.6
33 105.6
34 104.6
35 106.6
36 105.1
37 106.6
38 104.8
39 106.2
40 105.0
41 105.8
42 105.8
Per Step 1 of the 5-Steps to Hypothesis Testing, choose the appropriate null and alternative hypotheses, i.e. H0 and H1, respectively, as well as the significance level, , pronounced as "alpha".
Select one:
a. H0: 1 = 2, H1: 1 2, = 10%
b. H1: 1 = 2, = 10%, H1: 1 < 2
c. H0: 1 = 2, = 10%, H1: 1 < 2
d. H1: 1 2, = 1%, H0: 1 = 2
2.You decide to further your research project by hypothesizing that thetrue average core body temperatureamidst higher ambient temperature and humidity levels for thepopulation who do not use electric fans isdifferent thanthose who do use electric fans, setting thelevel of significance at 1%for the formal hypothesis test. In other words, you extend your sampling to two samples instead of just one. You randomly sample 47 and 30 participants
Table 1. No Fans
Subject Core Body
Temperature (F)
1 102.9
2 102.6
3 104.5
4 103.5
5 102.6
6 103.0
7 103.5
8 103.0
9 103.6
10 102.8
11 104.5
12 103.9
13 103.5
14 101.8
15 101.7
16 103.2
17 104.1
18 104.1
19 103.5
20 103.0
21 104.0
22 104.4
23 103.2
24 104.3
25 102.8
26 102.4
27 102.5
28 103.3
29 102.8
30 102.7
31 103.4
32 103.3
33 102.9
34 103.4
35 103.1
36 103.5
37 103.3
38 103.7
39 102.6
40 101.3
41 103.4
42 103.0
43 103.3
44 103.1
45 103.1
46 103.2
47 103.4
Table 2. Fans
Subject Core Body
Temperature (F)
1 110.7
2 109.5
3 110.5
4 108.9
5 110.7
6 110.1
7 109.9
8 110.5
9 109.1
10 111.6
11 110.2
12 110.7
13 109.9
14 109.7
15 110.3
16 109.7
17 109.6
18 110.8
19 110.3
20 110.4
21 110.4
22 110.3
23 109.7
24 110.3
25 108.9
26 109.5
27 109.7
28 110.0
29 109.4
30 108.4
Per Step 2 of the 5-Steps to Hypothesis Testing, choose the appropriate test statistic.
Select one:
a. z = (X1 - X2) / [ Sp * (1 / n1 + 1 / n2) ], where Sp = ( [(n1 - 1) * s12 + (n2 - 1) * s22] / [n1 + n2 - 2] )
b. z = (X - 0) / (s / n)
c. t = (X1 - X2) / [ Sp * (1 / n1 + 1 / n2) ], where Sp = ( [(n1 - 1) * s12 + (n2 - 1) * s22] / [n1 + n2 - 2] )
d. Sp = ( [(n1 - 1) * s12 + (n2 - 1) * s22] / [n1 + n2 - 2] )
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