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
230	225	228
210	245	202
250	205	190
240	220	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.

State the null and alternative hypotheses.

H₀: Median_MM = Median_KK = Median_MW
H_a: Median_MM ≠ Median_KK ≠ Median_MWH₀: 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_MWH₀: Median_MM ≠ Median_KK ≠ Median_MW
H_a: Median_MM = Median_KK = Median_MW

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.)

p-value =

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

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

Answer 1

Null and alternative hypothesis

H0: MedianMM = MedianKK = MedianMW
Ha: MedianMM ≠ MedianKK ≠ MedianMW

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

The test statistic is given as H = (12/(N(N+1)) * (∑T²/n) - 3(N+1)

Where T is sum of thanks in a treatment N=15 ,n=5

The value of H is 7.22

p value is .027

At a 0.05 level of significance,our conclusion
is reject H0. There is sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies.