In: Statistics and Probability
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.