Forty-minute workouts of one of the following activities three days a week will lead to a loss of weight. Suppose the following sample data show the number of calories burned during 40-minute workouts for three different activities. Swimming Tennis Cycling 413 420 390 375 480 250 430 455 300 395 425 397 427 535 268 Do these data indicate differences in the amount of calories burned for the three activities? Use a 0.05 level of significance. State the null and alternative hypotheses. -H0: All populations of calories burned are identical. Ha: Not all populations of calories burned are identical. -H0: MedianS ≠ MedianT ≠ MedianC Ha: MedianS = MedianT = MedianC -H0: Not all populations of calories burned are identical. Ha: All populations of calories burned are identical. -H0: MedianS = MedianT = MedianC Ha: MedianS < MedianT > MedianC -H0: MedianS = MedianT = MedianC Ha: MedianS ≠ MedianT ≠ MedianC Find the value of the test statistic.Answer=?? Find the p-value. (Round your answer to three decimal places.) p-value =?? What is your conclusion? -Reject H0. There is not sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities. -Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities. -Reject H0. There is sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities. -Do not reject H0. There is sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Forty-minute workouts of one of the following activities three days a week will lead to a loss of weight. Suppose the following sample data show the number of calories burned during 40-minute workouts for three different activities.

Swimming	Tennis	Cycling
413	420	390
375	480	250
430	455	300
395	425	397
427	535	268

Do these data indicate differences in the amount of calories burned for the three activities? Use a 0.05 level of significance.

State the null and alternative hypotheses.

-H₀: All populations of calories burned are identical.
H_a: Not all populations of calories burned are identical.

-H₀: Median_S ≠ Median_T ≠ Median_C
H_a: Median_S = Median_T = Median_C

-H₀: Not all populations of calories burned are identical.
H_a: All populations of calories burned are identical.

-H₀: Median_S = Median_T = Median_C
H_a: Median_S < Median_T > Median_C

-H₀: Median_S = Median_T = Median_C
H_a: Median_S ≠ Median_T ≠ Median_C

Find the value of the test statistic.Answer=??

Find the p-value. (Round your answer to three decimal places.)

p-value =??

What is your conclusion?

-Reject H₀. There is not sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.

-Do not reject H₀. There is not sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.

-Reject H₀. There is sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.

-Do not reject H₀. There is sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.

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