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
210	205	200
220	215	218
250	235	202
240	245	190
210	230	180

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_MW

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

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

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

The statistical software output for this problem is:

Hence,

Hypotheses:

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

Test statistic = 6.63

P - value = 0.036

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