Question

Thirty-minute workouts of one of the following will lead to burning the following calories. You wish to test to see if there is a difference in the amount of calories burned from these three activities.

Swimming	Tennis	Cycling
408	415	385
380	485	250
425	450	380
400	420	402
427	530	268

Find the sum of the ranks

		Swimming = 41, Tennis = 61, Cycling = 18
		Swimming = 40.5, Tennis = 61, Cycling = 18.5
		Swimming = 41.5, Tennis = 61, Cycling = 18.5
		Swimming = 41, Tennis = 60 , Cycling = 18

Thirty-minute workouts of one of the following will lead to burning the following calories. You wish to test to see if there is a difference in the amount of calories burned from these three activities.

Swimming	Tennis	Cycling
408	415	385
380	485	250
425	450	380
400	420	402
427	530	268

Find the value of the test statistic

		H= 9.04
		H = 9.26
		H = 9.08
		H = 9.28

Thirty-minute workouts of one of the following will lead to burning the following calories. You wish to test to see if there is a difference in the amount of calories burned from these three activities.

Swimming	Tennis	Cycling
408	415	385
380	485	250
425	450	380
400	420	402
427	530	268

What is the p-value and your conclusion?

		p value = 0.0098 and conclude reject the null the three activities are not identical and cycling tends to have the lowest calories.
		p value = 0.0109 and conclude reject the null the three activities are not identical and cycling tends to have the lowest calories.
		p value = 0.0109 and conclude reject the null the three activities are not identical and swimming tends to have the lowest calories.
		p value = 0.0098 and conclude fail to reject the null the three activities are identical and tennis tends to have the lowest calories.

Answer 1

The statistical software output for this problem is:

Hence,

Answer - 1: Sum of ranks:

Swimming = 8.1*5 = 40.5

Tennis = 12.2*5 = 61

Cycling = 3.7*5 = 18.5

Option B is correct.

Answer - 2: H = 9.04

Option A is correct.

Answer - 3: p value = 0.0109 and conclude reject the null the three activities are not identical and cycling tends to have the lowest calories. Option B is correct.