Explanation Given info: The information is based on the entertainment expenditures. The data represents the last year’s expenditures in dollars for three entertainment categories. Calculation: Perform the Kruskal –Wallis test procedure: Step 1: Stating the test hypotheses: Null hypothesis: H 0 : μ 1 = μ 2 = μ 3 Alternative hypothesis: H a : All means are not equal. Step 2: The significance level α is 0.05. Step 3: The formula for the test statistic: K = 12 n ( n + 1 ) ∑ R j 2 n j − 3 ( n + 1 ) Assign the ranks to the samples: Sample 1 Rank Sample 2 Rank Sample 3 Rank 303 11 230 7 130 2 242 10 1,878 24 381 12 152 4 526 14 1,423 22 625 16 130 2 161 5 241 9 600 15 205 6 1,333 20 130 2 1,154 19 739 18 692 17 1,759 23 430 13 232 8 1,368 21 Total R 1 = 101 Total R 2 = 81 Total R

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Chapter 16.5, Problem 144E

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Whether the data provide sufficient evidence to conclude that a difference exists in last year’s mean expenditures among three entertainment categories or not.

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Chapter 16.5, Problem 143E

Chapter 16.5, Problem 145E

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Chapter 16 Solutions

INTRO.STATISTICS,TECH.UPDT.-W/MYSTATLAB

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Whether the data provide sufficient evidence to conclude that a difference exists in last year’s mean expenditures among three entertainment categories or not.

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Whether the data provide sufficient evidence to conclude that a difference exists in last year’s mean expenditures among three entertainment categories or not.

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