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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
210 205 208
230 235 202
240 225 190
250 220 180

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: Not all populations of calories are identical.
Ha: All populations of calories are identical.H0: All populations of calories are identical.
Ha: Not all populations of calories are identical.    H0: MedianMM = MedianKK = MedianMW
Ha: MedianMM > MedianKK > MedianMWH0: MedianMM ≠ MedianKK ≠ MedianMW
Ha: MedianMM = MedianKK = MedianMWH0: MedianMM = MedianKK = MedianMW
Ha: MedianMM ≠ MedianKK ≠ MedianMW

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?

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.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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