manufacturer\'s claims, five samples were tested, under similar conditions, for

Question

manufacturer's claims, five samples were tested, under similar conditions, for each of the paints, and the time in minutes until the paint was dry enough to apply a second coat was recorded, as given below. (This data set is also available on Blackboard as Paint.txt.) 4. Four different paints are advertised as having the same drying time. To check the Paint 1 Paint 2 Paint 3 Paint 4 137 135 124 141 133 142 146 130 143 137 136 131 142 135 140 153 Determine, at the a = 0.05 level, if the mean drying times for the four different paints are equ

Explanation / Answer

H0: There is no significant difference between means of four paints

H1:There is no significant difference between means of four paints

alpha:5%

Test statistic:

We use ANOVA one way

F cal=2.5433

P=0.092

conclusion:

P>0.05, we do not reject the H0. Hence claim is not significant

Anova: Single Factor SUMMARY Groups Count Sum Average Variance paint1 5 665 133 47.5 paint2 5 695 139 50 paint3 5 680 136 21 paint4 5 720 144 54.5 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 330 3 110 2.543353 0.092764 3.238872 Within Groups 692 16 43.25 Total 1022 19

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