Forced vital capacity FVC is the maximum amount of air a per

Forced vital capacity (FVC) is the maximum amount of air a person can expel in one breath and is an indicator of lung function. A study was conducted to test the immediate effects of exercise on FVC with a sample of 24 adult women in good health. For each of the following scenarios, name the appropriate statistical test you should run and write the appropriate null hypothesis: (2pt each)

a. The subjects were randomly divided into two groups. One group was assigned to jog on a treadmill for 30 minutes while the other group participated in a 30-minute yoga session. The FVC (in liters) of all participants was measured afterwards and you want to compare the FVC after the two different exercises.

b. The subjects were randomly divided into two groups. One group was assigned to jog on a treadmill for 30 minutes while the other group participated in a 30-minute yoga session. The change in FCV for each participant (after the workout minus before the workout) was recorded as either “increase,” “decrease,” or “stayed the same,” and you want to compare the changes in FVC after the two different exercises.

c. They measured the FVC (in liters) of each subject in the morning and then they all participated in exercise classes throughout the day. At the end of the day, the FVC (in liters) was measured again, and you want to see if there is an average change in FVC. The Shapiro-Wilk test resulted in a p-value = 0.12 .

Solution

a. The subjects were randomly divided into two groups. One group was assigned to jog on a treadmill for 30 minutes while the other group participated in a 30-minute yoga session. The FVC (in liters) of all participants was measured afterwards and you want to compare the FVC after the two different exercises.

The appropriate statistical test is : Two sample t - test for the significance difference of mea

b. The subjects were randomly divided into two groups. One group was assigned to jog on a treadmill for 30 minutes while the other group participated in a 30-minute yoga session. The change in FCV for each participant (after the workout minus before the workout) was recorded as either “increase,” “decrease,” or “stayed the same,” and you want to compare the changes in FVC after the two different exercises.

The appropriate statistical test is : Two sample t - test for the significance change in the means

c. They measured the FVC (in liters) of each subject in the morning and then they all participated in exercise classes throughout the day. At the end of the day, the FVC (in liters) was measured again, and you want to see if there is an average change in FVC.

The appropriate statistical test is : Paired t-test