Q1 Probability and Statistics The following data are from a completely randomized design.SamplemeanSamplevarianceA162Sourceof Variation141Treatments164Error146Total147176156TreatmentB141156123142135161143с126122137139(a) Compute the sum of squares between treatments.Sumof Squares149(b) Compute the mean square between treatments.125(c) Compute the sum of squares due to error.133181.2 192.4 108.4(d) Compute the mean square due to error. (Round your answer to two decimal places.)(e) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)Degreesof FreedomMeanSquareFp-value (f)At the α = 0.05 level of significance, test whether the means for the three treatments are equal.State the null and alternative hypotheses.Ho: At least two of the population means are equal.Ha: At least two of the population means are different.O Ho: Not all the population means are equal.Ha: μA = MB = MCO Ho: MAHB = μCHa: MA MB MC#© Ho: HA = HB = HCHa: Not all the population means are equal.HO: MAMB #MCHai HA = HB = HCFind the value of the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to four decimal places.)p-value =State your conclusion.O Reject Ho. There is sufficient evidence to conclude that the means for the three treatments are not equal.Do not reject Ho. There is not sufficient evidence to conclude that the means for the three treatments are not equal.o Reject Ho. There is not sufficient evidence to conclude that the means for the three treatments are not equal.O Do not reject Ho. There is sufficient evidence to conclude that the means for the three treatments are not equal.

llowing data are from a completely randomized design. Sample mean Sample variance A 162 Source of Variation 141 Treatments 164 Error 146 Total 147 176 156 Treatment B 141 156 123 142 135 161 143 с 126 122 137 139 Compute the sum of squares between treatments. Sum of Squares 149 Compute the mean square between treatments. 125 Compute the sum of squares due to error. 133 181.2 192.4 108.4 Compute the mean square due to error. (Round your answer to two decimal places.) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Degrees of Freedom Mean Square F p-value

llowing data are from a completely randomized design. Sample mean Sample variance A 162 Source of Variation 141 Treatments 164 Error 146 Total 147 176 156 Treatment B 141 156 123 142 135 161 143 с 126 122 137 139 Compute the sum of squares between treatments. Sum of Squares 149 Compute the mean square between treatments. 125 Compute the sum of squares due to error. 133 181.2 192.4 108.4 Compute the mean square due to error. (Round your answer to two decimal places.) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Degrees of Freedom Mean Square F p-value

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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