You decide to research further this seemingly contradictory guidance, hypothesizing that the true population average core body temperature amidst higher ambient temperature and humidity levels while using an electric fan is greater than 64.7 degrees Fahrenheit (°F) and you set the level of significance at 5% for your formal hypothesis test. You randomly sample 17 participants based on your research funding and for 45 minutes, the study participants sit in a chamber maintained at a temperature of 108°F (i.e., 42 degrees Celsius) and a relative humidity of 70%.
Subject Core Body
Temperature (°F)
1 105.5
2 106.4
3 105.9
4 105.8
5 106.0
6 107.2
7 106.6
8 106.8
9 105.7
10 106.6
11 106.6
12 106.4
13 106.5
14 106.1
15 105.8
16 105.6
17 104.5
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, α, pronounced as "alpha".
Select one:
a. α = 1%, H0: μ > 64.7°F, H1: μ = 64.7°F
b. α = 1%, H1: μ = 64.7°F, H0: μ ≠ 64.7°F
c. α = 10%, H1: μ = 64.7°F, H1: μ > 64.7°F
d. α = 5%, H0: μ = 64.7°F, H1: μ > 64.7°F
You decide to research further this seemingly contradictory guidance, hypothesizing that the true population average core body temperature amidst higher ambient temperature and humidity levels while using an electric fan is greater than 64.9 degrees Fahrenheit (°F) and you set the level of significance at 10% for your formal hypothesis test. You randomly sample 20 participants based on your research funding and for 45 minutes, the study participants sit in a chamber maintained at a temperature of 108°F (i.e., 42 degrees Celsius) and a relative humidity of 70%. After the first 45 minute warming period, for each participant you place a personal sized electric fan 3 feet away with its airflow directed at a given participant's chest area, and the participants relax in this position for the next 45 minutes. At the end of this 45 minute fan period, you record the core body temperature of all participants. The following table comprises the data you collect.
Subject Core Body
Temperature (°F)
1 100.9
2 100.8
3 101.0
4 100.6
5 103.0
6 101.8
7 100.6
8 101.2
9 101.7
10 101.1
11 101.9
12 100.9
13 102.9
14 102.3
15 101.8
16 99.7
17 99.6
18 101.4
19 102.5
20 102.5
Per Step 2 of the 5-Steps to Hypothesis Testing, choose the appropriate test statistic.
Select one:
a. Sp = √( [(n1 - 1) * s12 + (n2 - 1) * s22] / [n1 + n2 - 2] )
b. z = (X¯1 - X¯2) / [ Sp * √(1 / n1 + 1 / n2) ], where Sp = √( [(n1 - 1) * s12 + (n2 - 1) * s22] / [n1 + n2 - 2] )
c. z = (p^ - p0) / √(p0 * (1 - p0) / n), where p^ = x / n
d. t = (X¯ - µ0) / (s / √n)