Question: 9.Four different paints are advertised to have the same drying times.Use the Kruskal Wallis Test - Analysis of Variance by Ranks, to verify the manufacturer's

9.Four different paints are advertised to have the same drying times.Use the Kruskal Wallis Test - Analysis of Variance by Ranks, to verify the manufacturer's claim.Remember that seven samples were tested for each of the paints.The time in minutes until the paint was dry enough for a second coat to be applied was recorded.Below are the results.

Paint 1

Rank

Paint 2

Rank

Paint 3

Rank

Paint 4

Rank

114

112

126

115

117

118

127

117

120

118

128

122

121

118

129

123

126

120

131

123

126

121

131

126

130

121

137

126

H₀: the population distributions of drying times are the same for the four samples

H₁: the population distributions of drying times are not all the same for the four samples

a.State your test statistic:

b.State your decision rule: ( = 0.05)

c.Show your calculation:

d.What is your conclusion?

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