Question

The better-selling candies are often high in calories. Assume that the following data show the calorie content from samples of M&M's, Kit Kat, and Milky Way II.

M&M's	Kit Kat	Milky Way II
240	235	200
220	215	218
230	245	202
250	225	190
240	210	180

Assuming we don't know about the shape of the population distribution, use the Kruskal-Wallis Test to test for significant differences among the calorie content of these three candies.

a)State the null and alternative hypotheses.

H₀: Median_MM ≠ Median_KK ≠ Median_MW
H_a: Median_MM = Median_KK = Median_MW

H₀: Median_MM = Median_KK = Median_MW
H_a: Median_MM > Median_KK > Median_MW   

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

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

.H₀: Median_MM = Median_KK = Median_MW
H_a: Median_MM ≠ Median_KK ≠ Median_MW

b)Find the value of the test statistic. (Round your answer to two decimal places.)___

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

c)At a 0.05 level of significance, what is your conclusion?

Do not reject H₀. There is not sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies.

Reject H₀. There is sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies.    

Do not reject H₀. There is sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies.

Reject H₀. There is not sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies.

Answer 1

The statistical software output for this problem is:

From above output:

Hypotheses:

H0: All populations of calories are identical.
Ha: Not all populations of calories are identical

Test statistic = 8.80

p - Value = 0.012

Conclusion: Reject H0. There is sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies.