Question

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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
250	205	202
210	245	190
240	230	180

Test for significant differences among the calorie content of these three candies.

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

State the null and alternative hypotheses.

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

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

p-value =

Answer 1

H0: MedianMM = MedianKK = MedianMW

Ha: MedianMM ≠ MedianKK ≠ MedianMW    

Let the los be alpha = 5%

From the given data

The MINITAB output is

P-value = 0.022

since P-value < alpha 0.05 so we reject H0

Thus we conclude that MedianMM ≠ MedianKK ≠ MedianMW

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Moodes Median Test: This test suitable for the given data

The MINITAB output,

P-value = 0.031

since P-value < alpha 0.05 so we reject H0

Thus we conclude that MedianMM ≠ MedianKK ≠ MedianMW