Questions 46-55: An exercise physiologist sets up a large scale experiment to me
ID: 3324848 • Letter: Q
Question
Questions 46-55: An exercise physiologist sets up a large scale experiment to measure a larger number of parameters before (B) and after (A) exercise in 4 different populations (males ages 15-20; females ages 15-20; males 60-65 and females 60-65). Each sample contained 51 individuals. Some of the data collected are shown in the table below. Heart rate is given in bpm; mean arterial pressure is given in mm Hg; temperature is given in oC, “red face” is a determination by experimenter as to whether or not individual has a red color to their face. ± is the standard deviation.
a. Which test would you use to see if there was a difference between heart rate in males (15-20) before exercise and males (15-20) after exercise?
b. Which test would you use to see if there was a difference between the number of smokers in all of the age categories
c. Which test would you use to see if there was a difference between the temperature in any of the categories
d. If an F test indicated a difference between categories, which type of tests would you use to determine which categories were different.
e. The F test must exceed what value in order to conclude with =0.025 that there is a difference between any two groups when comparing heart rate before exercise in the 4 groups shown in the table.
Males (15-20) Females (15-20) Males (60-65) Females (60-65) Heart Rate 75±33 | 120t3 | 70-29 | 125±4 | 65±15 | 12942 | 60±10 | 127+9 Mean Arterial 100+5 | 110+5 | 100±6 | 11116 | 100+9 | 112±7 | 99+5 | 115±4 Pressure Temperature 37±0.1 | 3840.2 | 37±0.1 38±0.1 | 37±0.1 | 3840.0 | 37±0.1 | 38±0.3 Red face Smoker Type to Diabetes 1% 20% | 5% 10% 0.5% 30% 5% 15% 10% 5% 3% 5% 3% 3% 15% 7%Explanation / Answer
a. Which test would you use to see if there was a difference between heart rate in males (15-20) before exercise and males (15-20) after exercise?
ANswer : We will use t test for two dependent or paired sample hypothesis test.
b. Which test would you use to see if there was a difference between the number of smokers in all of the age categories.
ANswer: We will use CHi-square test for independence here.
c. Which test would you use to see if there was a difference between the temperature in any of the categories?
Ans : We wil use one way ANOVA test here.
d. If an F test indicated a difference between categories, which type of tests would you use to determine which categories were different.
We will use Tukey HSD or Fischer exact test for this situation.
e. The F test must exceed what value in order to conclude with =0.025 that there is a difference between any two groups when comparing heart rate before exercise in the 4 groups shown in the table.
dF1 = 4 -1 = 3
dF2 = 4 * (51 -1 ) = 200
Fcritical = F(0.025, 3, 200) = 3.182
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