Question

In: Statistics and Probability

You may need to use the appropriate technology to answer this question. The better-selling candies are...

You may need to use the appropriate technology to answer this 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
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: MedianMM = MedianKK = MedianMW
Ha: MedianMM ≠ MedianKK ≠ MedianMW    

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

p-value =

Solutions

Expert Solution

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

----------------------------------------------------------------------------------------------------------------------------------------------------------------------

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


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