Reference no: EM132138144
You decide to further your research project by hypothesizing that the true average core body temperature amidst higher ambient temperature and humidity levels for the population who do not use electric fans is greater than those who do use electric fans, setting the level of significance at 10% for the formal hypothesis test. In other words, you extend your sampling to two samples instead of just one. You randomly sample 23 and 14 participants
Table 1. No Fans
Subject Core Body
Temperature (°F)
1 107.6
2 109.2
3 107.4
4 109.4
5 109.3
6 107.9
7 108.7
8 109.6
9 108.8
10 108.7
11 108.6
12 110.4
13 108.1
14 109.4
15 109.9
16 109.1
17 109.2
18 109.1
19 108.8
20 109.7
21 109.4
22 107.7
23 108.7
Table 2. Fans
Subject Core Body
Temperature (°F)
1 107.9
2 106.6
3 106.6
4 106.9
5 107.8
6 106.1
7 106.2
8 106.8
9 109.1
10 106.7
11 107.5
12 107.2
13 106.4
14 107.0
Per Step 2 of the 5-Steps to Hypothesis Testing, choose the appropriate test statistic.
Select one:
a. t = (X¯1 - X¯2) / [ Sp * √(1 / n1 + 1 / n2) ], where Sp = √( [(n1 - 1) * s12 + (n2 - 1) * s22] / [n1 + n2 - 2] )
b. t = (X¯ - µ0) / (s / √n)
c. Sp = √( [(n1 - 1) * s12 + (n2 - 1) * s22] / [n1 + n2 - 2] )
d. z = (p^1 - p^2) / √[ p^ * (1 - p^) * (1 / n1 + 1 / n2) ], where p^1 = x1 / n1, p^2 = x2 / n2, p^ = (x1 + x2) / (n1 + n2)
8.You decide to further your research project by hypothesizing that the true average core body temperature amidst higher ambient temperature and humidity levels for the population who do not use electric fans is greater than those who do use electric fans, setting the level 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 26 and 17 participants
Table 1. No Fans
Subject Core Body
Temperature (°F)
1 107.2
2 109.6
3 108.6
4 106.8
5 109.2
6 108.0
7 107.3
8 107.9
9 108.5
10 109.2
11 109.6
12 107.4
13 107.5
14 107.5
15 108.1
16 107.0
17 107.0
18 108.1
19 108.7
20 108.0
21 107.8
22 108.0
23 107.4
24 107.2
25 109.1
26 108.1
Table 2. Fans
Subject Core Body
Temperature (°F)
1 97.3
2 98.1
3 98.3
4 98.3
5 97.0
6 98.5
7 98.8
8 97.2
9 97.7
10 98.0
11 98.1
12 96.9
13 98.4
14 97.7
15 97.2
16 98.1
17 97.6
Table 1. No Fans
Subject Core Body
Temperature (°F)
1 107.2
2 109.6
3 108.6
4 106.8
5 109.2
6 108.0
7 107.3
8 107.9
9 108.5
10 109.2
11 109.6
12 107.4
13 107.5
14 107.5
15 108.1
16 107.0
17 107.0
18 108.1
19 108.7
20 108.0
21 107.8
22 108.0
23 107.4
24 107.2
25 109.1
26 108.1
Table 2. Fans
Subject Core Body
Temperature (°F)
1 97.3
2 98.1
3 98.3
4 98.3
5 97.0
6 98.5
7 98.8
8 97.2
9 97.7
10 98.0
11 98.1
12 96.9
13 98.4
14 97.7
15 97.2
16 98.1
17 97.6
Per Step 3 of the 5-Steps to Hypothesis Testing, choose the appropriate decision rule.
Select one:
a. Accept H0 if z ≥ +2.326
b. Accept H1 if z ≤ -2.326
c. Reject H0 if t ≥ +2.421
d. Reject H0 if z < -1.282