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The formula for the sum of squares due to treatments, SSTR, follows where n, is the number of observations for treatment j, x, is the sample mean for treatment j, and is the mean of all the observations in the data. SSTR = n(x₁ - x)² j=1 The given data are below. Treatment Treatment A B 33 29 29 45 44 44 Treatment с 32 37 36

The formula for the sum of squares due to treatments, SSTR, follows where n, is the number of observations for treatment j, x, is the sample mean for treatment j, and is the mean of all the observations in the data. SSTR = n(x₁ - x)² j=1 The given data are below. Treatment Treatment A B 33 29 29 45 44 44 Treatment с 32 37 36

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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8:05 PM Mon Oct 23 Step 2 Now that the hypotheses have been determined, a test statistic needs to be found. A partial ANOVA table will be used to organize values in calculating the test statistic. Recall the format of the ANOVA table, given below. The final Total row will not be used. x = Source of Variation = Treatments = Error The given data are below. = Total k SSTR = Sum of Squares There are 3 treatments, so k = "A = nB = "c= SSTR SSTR + SSE = SST = √3/15-772 SSE Sample mean Sample variance j = 1 k + XB + Xc k 30 +46 +35 33 The formula for the sum of squares due to treatments, SSTR, follows where n, is the number of observations for treatment j, x, is the sample mean for treatment j, and is the mean of all the observations in the data. 29 29 27 webassign.net Treatment Treatment A B 32 30 Degrees of Freedom 6.00 k - 1 nT-k (k-1) + (ny-k) =n-1 45 44 44 47 50 46 Mean Square 6.50 SSTR k-1 SSE n-k 32 Treatment с 37 36 37 = MSTR 33 35 = MSE 5.50 F = Since each treatment has the same number of observations, the overall sample mean for the k sample means is found as follows. Find the overall sample mean. Each treatment has 5 observations, so The total number of observations is n₁ = nA +nB + nc = F MSTR MSE p-value 98%
Transcribed Image Text:8:05 PM Mon Oct 23 Step 2 Now that the hypotheses have been determined, a test statistic needs to be found. A partial ANOVA table will be used to organize values in calculating the test statistic. Recall the format of the ANOVA table, given below. The final Total row will not be used. x = Source of Variation = Treatments = Error The given data are below. = Total k SSTR = Sum of Squares There are 3 treatments, so k = "A = nB = "c= SSTR SSTR + SSE = SST = √3/15-772 SSE Sample mean Sample variance j = 1 k + XB + Xc k 30 +46 +35 33 The formula for the sum of squares due to treatments, SSTR, follows where n, is the number of observations for treatment j, x, is the sample mean for treatment j, and is the mean of all the observations in the data. 29 29 27 webassign.net Treatment Treatment A B 32 30 Degrees of Freedom 6.00 k - 1 nT-k (k-1) + (ny-k) =n-1 45 44 44 47 50 46 Mean Square 6.50 SSTR k-1 SSE n-k 32 Treatment с 37 36 37 = MSTR 33 35 = MSE 5.50 F = Since each treatment has the same number of observations, the overall sample mean for the k sample means is found as follows. Find the overall sample mean. Each treatment has 5 observations, so The total number of observations is n₁ = nA +nB + nc = F MSTR MSE p-value 98%
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