A researcher is comparing the effectiveness of three different diets on cholesterol reduction. The cholesterol reduction values in milligrams per deciliter for each group are as follows:Diet A: 12,15,18,16,1412,15,18,16,14Diet B: 14,15,20,17,1914,15,20,17,19Diet C: 13,16,18,17,1513,16,18,17,15Using the Kruskal-Wallis test, calculate the value of the test statistic HH. Then, apply the correction for ties using the correction factor formula. Does the corrected HH value differ significantly from the original HH?

No, the corrected HH value is only slightly different from the original HH and does not differ significantly.

Yes, the corrected HH is significantly larger than the original HH.

Yes, the corrected HH is significantly smaller than the original HH.

No, both the original and corrected HH values are the same.

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Problem 183Multiple Choice

A researcher is comparing the effectiveness of three different diets on cholesterol reduction. The cholesterol reduction values in milligrams per deciliter for each group are as follows:
Diet A: $12 comma 15 comma 18 comma 16 comma 14$
Diet B: $14 comma 15 comma 20 comma 17 comma 19$
Diet C: $13 comma 16 comma 18 comma 17 comma 15$
Using the Kruskal-Wallis test, calculate the value of the test statistic $H$ . Then, apply the correction for ties using the correction factor formula. Does the corrected $H$ value differ significantly from the original $H$ ?

Yes, the corrected $H$ is significantly larger than the original $H$ .

Yes, the corrected $H$ is significantly smaller than the original $H$ .

No, the corrected $H$ value is only slightly different from the original $H$ and does not differ significantly.

No, both the original and corrected $H$ values are the same.

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