A sample of 15 consumers provided the following product ratings for three different products. Five consumers were randomly assigned to test and rate each product.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A sample of 15 consumers provided the following product ratings for three different products. Five consumers were randomly assigned to test and rate each product.
Product
A BC
51
81
61
66
90
40
70
94
31
44
87
54
60 91 57
Use the Kruskal-Wallis test and a = 0.05 to determine whether there is a significant difference among the ratings for the products.
State the null and alternative hypotheses.
H: Median, - Median, = Median.
H,: Median, + Mediang + Median.
O Ho: Not all populations of product ratings are identical.
H: All populations of product ratings are identical.
O Ho: Median, + Median, + Median.
H: Median, = Median, = Median,
O Ho: Median, = Mediang = Median.
H,: Median, < Mediang > Median.
Ho: All populations of product ratings are identical.
H: Not all populations of product ratings are identical.
Find the value of the test statistic.
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject Hg. There is not sufficient evidence to conclude that there is a significant difference among the ratings for the products.
O Do not reject H,. There is sufficient evidence to conclude that there is a significant difference among the ratings for the products.
O Do not reject H,. There is not sufficient evidence to conclude that there is a significant difference among the ratings for the products.
O Reject H. There is sufficient evidence to conclude that there is a significant difference among the ratings for the products.
Transcribed Image Text:A sample of 15 consumers provided the following product ratings for three different products. Five consumers were randomly assigned to test and rate each product. Product A BC 51 81 61 66 90 40 70 94 31 44 87 54 60 91 57 Use the Kruskal-Wallis test and a = 0.05 to determine whether there is a significant difference among the ratings for the products. State the null and alternative hypotheses. H: Median, - Median, = Median. H,: Median, + Mediang + Median. O Ho: Not all populations of product ratings are identical. H: All populations of product ratings are identical. O Ho: Median, + Median, + Median. H: Median, = Median, = Median, O Ho: Median, = Mediang = Median. H,: Median, < Mediang > Median. Ho: All populations of product ratings are identical. H: Not all populations of product ratings are identical. Find the value of the test statistic. Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject Hg. There is not sufficient evidence to conclude that there is a significant difference among the ratings for the products. O Do not reject H,. There is sufficient evidence to conclude that there is a significant difference among the ratings for the products. O Do not reject H,. There is not sufficient evidence to conclude that there is a significant difference among the ratings for the products. O Reject H. There is sufficient evidence to conclude that there is a significant difference among the ratings for the products.
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