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Suppose we are given the following data set with sample standard deviations, sd₁ = 0.2377, sd₂ = 0.1162, sd3 = 0.1473, 84 = 0.2136 and Q-Q plot: 80 02 Sample Quantiles 0.0 -0.1 0.1 -0.2 со Normal Q-Q Plot Theoretical Quantiles Type 1 Type 2 Type 3 Type 4 3.83 4.09 4.41 4.14 4.7 4.52 4.79 4.61 4.37 4.41 4.27 4.08 4.98 5.46 5.05 5.22 (a) Verify that it is appropriate to carry out a one-way ANOVA with this data set. (b) Do the following results of the one-way ANOVA suggest that at least two of the true treatment means differ at a significance level of a = 0.05? Explain. of Sum Sq Mean Sq F value Pr (>F) treatment 3 2.6525 0.8842 25.76 0.0000163 *** Residuals 12 0.4119 0.0343 signif. codes: 0***** 0.001 0.01 0.05 0.11 (c) Use the following output to perform Tukey's procedure (a = 0.05). Tukey multiple comparisons of means 95% family-wise confidence level Fit: aov (formula = measurement treatment, data = data) Streatment diff Tur upr p adj type2-type1 0.5375 0.1485452 0.92645485 0.0069138 type 3-type1 0.1650 -0.2239548 0.55395485 0.6036475 type4-typel 1.0600 0.6710452 1.44895485 0.0000174 type 3-type2 -0.3725 -0.7614548 0.01645485 0.0620474 type4-type2 0.5225 0.1335452 0.91145485 0.0084319 type4-type3 0.8950 0.5060452 1.28395485 0.0000931

Suppose we are given the following data set with sample standard deviations, sd₁ = 0.2377, sd₂ = 0.1162, sd3 = 0.1473, 84 = 0.2136 and Q-Q plot: 80 02 Sample Quantiles 0.0 -0.1 0.1 -0.2 со Normal Q-Q Plot Theoretical Quantiles Type 1 Type 2 Type 3 Type 4 3.83 4.09 4.41 4.14 4.7 4.52 4.79 4.61 4.37 4.41 4.27 4.08 4.98 5.46 5.05 5.22 (a) Verify that it is appropriate to carry out a one-way ANOVA with this data set. (b) Do the following results of the one-way ANOVA suggest that at least two of the true treatment means differ at a significance level of a = 0.05? Explain. of Sum Sq Mean Sq F value Pr (>F) treatment 3 2.6525 0.8842 25.76 0.0000163 *** Residuals 12 0.4119 0.0343 signif. codes: 0***** 0.001 0.01 0.05 0.11 (c) Use the following output to perform Tukey's procedure (a = 0.05). Tukey multiple comparisons of means 95% family-wise confidence level Fit: aov (formula = measurement treatment, data = data) Streatment diff Tur upr p adj type2-type1 0.5375 0.1485452 0.92645485 0.0069138 type 3-type1 0.1650 -0.2239548 0.55395485 0.6036475 type4-typel 1.0600 0.6710452 1.44895485 0.0000174 type 3-type2 -0.3725 -0.7614548 0.01645485 0.0620474 type4-type2 0.5225 0.1335452 0.91145485 0.0084319 type4-type3 0.8950 0.5060452 1.28395485 0.0000931

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
Section10.4: Distributions Of Data
Problem 19PFA
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Q7. Suppose we are given the following data set with sample standard deviations, sd₁ 84 = 0.2136 and Q-Q plot: Sample Quantiles 0.3 0.2 0.1 0.0 -0.1 -0.2 20 -2 -1 Normal Q-Q Plot 0 Theoretical Quantiles Streatment Type 1 Type 2 Type 3 Type 4 2 Df Sum Sq Mean Sq F value Pr (>F) treatment 3 2.6525 0.8842 25.76 0.0000163 *** Residuals 12 0.4119 0.0343 signif. codes: 00.001 '**' 0.01 0.05.¹0.11 4.09 4.41 4.14 3.83 4.7 4.52 4.79 4.61 4.37 4.41 4.27 4.08 4.98 5.46 5.05 5.22 (a) Verify that it is appropriate to carry out a one-way ANOVA with this data set. (b) Do the following results of the one-way ANOVA suggest that at least two of the true treatment means differ at a significance level of a = 0.05? Explain. (c) Use the following output to perform Tukey's procedure (a = Tukey multiple comparisons of means 95% family-wise confidence level Fit: aov (formula = measurement treatment, data = data) diff 1wr upr p adj type 2-type1 0.5375 0.1485452 0.92645485 0.0069138 type 3-type1 0.1650 -0.2239548 0.55395485 0.6036475 type4-typel 1.0600 0.6710452 1.44895485 0.0000174 type3-type2 -0.3725 -0.7614548 0.01645485 0.0620474 type4-type2 0.5225 0.1335452 0.91145485 0.0084319 type4-type3 0.8950 0.5060452 1.28395485 0.0000931 0.2377, sd₂ = 0.1162, sd3 = 0.05). 0.1473,
Transcribed Image Text:Q7. Suppose we are given the following data set with sample standard deviations, sd₁ 84 = 0.2136 and Q-Q plot: Sample Quantiles 0.3 0.2 0.1 0.0 -0.1 -0.2 20 -2 -1 Normal Q-Q Plot 0 Theoretical Quantiles Streatment Type 1 Type 2 Type 3 Type 4 2 Df Sum Sq Mean Sq F value Pr (>F) treatment 3 2.6525 0.8842 25.76 0.0000163 *** Residuals 12 0.4119 0.0343 signif. codes: 00.001 '**' 0.01 0.05.¹0.11 4.09 4.41 4.14 3.83 4.7 4.52 4.79 4.61 4.37 4.41 4.27 4.08 4.98 5.46 5.05 5.22 (a) Verify that it is appropriate to carry out a one-way ANOVA with this data set. (b) Do the following results of the one-way ANOVA suggest that at least two of the true treatment means differ at a significance level of a = 0.05? Explain. (c) Use the following output to perform Tukey's procedure (a = Tukey multiple comparisons of means 95% family-wise confidence level Fit: aov (formula = measurement treatment, data = data) diff 1wr upr p adj type 2-type1 0.5375 0.1485452 0.92645485 0.0069138 type 3-type1 0.1650 -0.2239548 0.55395485 0.6036475 type4-typel 1.0600 0.6710452 1.44895485 0.0000174 type3-type2 -0.3725 -0.7614548 0.01645485 0.0620474 type4-type2 0.5225 0.1335452 0.91145485 0.0084319 type4-type3 0.8950 0.5060452 1.28395485 0.0000931 0.2377, sd₂ = 0.1162, sd3 = 0.05). 0.1473,
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