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.
milcah answered 8 months agoRelated Solutions
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