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 candies.

M&M's	Kit Kat	Milky Way
250	245	200
210	205	208
240	225	202
230	235	190
250	220	180

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: 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

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.)

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

D) 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.

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.

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

To solve this :

Open Excel<Mega stat<Non parametric test< Kruskal- Wallis test:

The output is as follows:

Kruskal-Wallis Test
	Median	n	Avg. Rank
	240.00	5	11.60	M&M's
	225.00	5	9.20	Kit Kat
	200.00	5	3.20	Milky Way
	220.00	15		Total
			9.377	H (corrected for ties)
			2	d.f.
			.0092	p-value
		multiple comparison values for avg. ranks
		6.77	(.05)	8.30	(.01)

A) State the null and alternative hypotheses.

Ho: All population of calories are identical
Ha: not all population of calories are identical

B) Find the value of the test statistic.

Answer: 9.38

C) Find the p-value.

Answer: 0.009

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

Since p-value is less than 0.05

0.009<α=0.05,reject Ho

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