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
55	85	65
64	99	49
79	91	35
41	88	51
69	95	58

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

Find the value of the test statistic.

test statistic=_____?______

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

p-value =___?___

Solutions

Expert Solution

Sol:

Perform kruskal.test in R studio

Ho:ratings are same for all the 3 products

Ha:There is difference among the ratings for the products.

Rcode:

df1 =read.table(header = TRUE, text ="
product   Ratings
A   55
A   64
A   79
A   41
A   69
B   85
B   99
B   91
B   88
B   95
C   65
C   49
C   35
C   51
C   58

"
)
df1
kruskal.test(Ratings ~ product , data = df1)

output:

Kruskal-Wallis rank sum test

data: Ratings by product
Kruskal-Wallis chi-squared = 9.98, df = 2, p-value =
0.006806

Find the value of the test statistic.

test statistic=Kruskal-Wallis chi-squared = 9.98

p-value =0.007

p<0.05

Reject Ho

Accept Ha

Conclusion:

There is sufficent statistical evidence at 5% level of significance to conclude that there is a significant difference among the ratings for the products.

orchestra answered 1 year ago

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