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In: Statistics and Probability

The better-selling candies are often high in calories. Assume that the following data show the calorie...

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
250 245 200
230 225 228
240 215 202
220 235 190
250 210 180

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

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

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

H0: MedianMM = MedianKK = MedianMW
Ha: MedianMM > MedianKK > MedianMW

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

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

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