Question

You may need to use the appropriate technology to answer this question. A sample of 15...

You may need to use the appropriate technology to answer this question.

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 B C
57 87 67
66 99 49
79 93 37
43 81 53
69 97 51

Use the Kruskal-Wallis test and α = 0.05 to determine whether there is a significant difference among the ratings for the products.

State the null and alternative hypotheses.

H0: MedianA = MedianB = MedianC
Ha: MedianA ≠ MedianB ≠ MedianC

H0: MedianA = MedianB = MedianC
Ha: MedianA < MedianB > MedianC    

H0: MedianA ≠ MedianB ≠ MedianC
Ha: MedianA = MedianB = MedianC

H0: All populations of product ratings are identical.
Ha: Not all populations of product ratings are identical.

H0: Not all populations of product ratings are identical.
Ha: 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 H0. There is sufficient evidence to conclude that there is a significant difference among the ratings for the products.

Do not reject H0. There is sufficient evidence to conclude that there is a significant difference among the ratings for the products.    

Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference among the ratings for the products.

Reject H0. There is not sufficient evidence to conclude that there is a significant difference among the ratings for the products.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The statistical software output for this problem is :

H0: All populations of product ratings are identical.
Ha: Not all populations of product ratings are identical.

Test statistics = 10.22

P-value = 0.006

Reject H0. There is sufficient evidence to conclude that there is a significant difference among the ratings for the products.

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