Question

In: Math

A sample of 15 consumers provided the following product ratings for three different products. Five consumers...

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
51 81 61
66 90 40
70 99 31
49 87 59
60 91 57

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

(a). State the null hypothesis

(b). Find the value of the test statistic

(c). Find the P-value

(d). State your conclusion

Solutions

Expert Solution

a) Null Hypothesis : H0: All populations of product ratings are identical

Alternate Hypothesis: Ha: Not all populations of product ratings are identical

b) Test - Static = H = 9.98

c) P-value = 0.0068

d) Conclusion:

Since p = 0.0068 < 0.05, we reject null hypothesis H0.

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


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