Question

Q Search this cours er 13 Assignment Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five 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. The following data were obtained. Excel users: The data set is available in file named Paint. All data sets can be found on the premium online datasite. Click on the datafile logo to reference the data. looool DATA file Paint 1 Paint 2 Paint 4 150 142 135 140 153 At the am .05 level of significance, test to see whether the mean drying time is the same for each type of paint. Compute the values identified below (to 2 decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). The p-value is - Select your answer - What is your conclusion? - Select your answer.

Answer 1

For the given data using Anova single factor in Excel we get output as

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
paint 1	5	665	133	47.5
paint 2	5	695	139	50
paint 3	5	680	136	21
paint 4	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

। from the above alput * Sum of squares, Treatment = 330 * Sum of squares, Eroor 692 & Mean squares, Treatment 110 * Mean squares, Enoos = 43.25 The value of the test startistic - 2.54 The P-value is greater than 0.05 conclusion: P-value los so fail to reject to at 2:0.05 (0.5 there is sufficient evidence that the mean doying time is the same I for each type of paint