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

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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
50	80	60
67	98	48
78	91	30
41	85	51
68	90	55

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: Not all populations of product ratings are identical.
H_a: All populations of product ratings are identical.

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

H₀: Median_A ≠ Median_B ≠ Median_C
H_a: Median_A = Median_B = Median_C

H₀: Median_A = Median_B = Median_C
H_a: Median_A < Median_B > Median_C

H₀: Median_A = Median_B = Median_C
H_a: Median_A ≠ Median_B ≠ Median_C

Find the value of the test statistic.

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

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 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.

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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Answer 1

Answer #1

The statistical software output for this problem is:

Kruskal-Wallis results: Data stored in separate columns. DF Chi-Square P-value 2 9.98 0.0068 Summary statistics Columně ně Me

Hence,

Hypotheses:

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

p - Value = 0.007

Conclusion: Option B is correct.

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Answer 2

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