When factors A and B are fixed but factor C is random and the restricted model is used, and E(MSE) = ²JKL1-1 Σa, ²IKLJ-11B, ²E(MSA) = ² + JLG AC² +E(MSB) = ² + ILO Bc² +E(MSC) = 2 + IJLO 2E(MSAB) = 2 + LO ABC² +E(MSAC) = ² + JLOAC²E(MSBC) = 02 + ILO BCE(MSABC) = 0² + ABC²MSAB/MSABC4(a) Based on these expected mean squares, what F ratios would you use to test the following?Ho: ABC² = 0OMSA/MSACOMSAC/MSEOMSABC/MSAOMSC/MSABCOMSABC/MSEOMSA/MSEOMSC/MSEΣΣΑΒH₂:0² = 0O MSC/MSEKL(I-1)(J-1) TJ (b) In an experiment to assess the effects of age, type of soil, and day of production on compressive strength of cement/soil mixtures, two ages (A), four types of soil (B), and 3 days (C,assumed random) were used, with L = 2 observations made for each combination of factor levels. The resulting sums of squares were SSA = 14,315.24, SSB = 9658.80, SSC 2270.22,SSAB = 3408.92, SSAC = 1441.58, SSBC= 3096.23, SSABC= 2832.74, and SSE = 8655.40. Use the following hypotheses.HOA: all a's = 0HOA: at least one a, # 0HOAB: all y ABS = 0HOAB: at least one yHOABC ABC² = 0HOABC ABC² > 0Obtain the ANOVA table and carry out all tests using level 0.01. (Round your answers to two decimal places.)F0.01SourceABCABACBCABCErrorTotaldfHOAB: ally ABS = 0HOAC: all y₁ ACS = 0YновсHOBC: BC²2 = 0AB02HOABC:: ABC² = 0OABCHOB: all is = 0HOB: at least one ß, #0HOAC: all y ACS=0HOAC: at least one YikSSMSWhich of the null hypotheses can be rejected at level 0.01? (Select all that apply.)HOA: all a's = 0HOB: all Bjs = 0Hoc: ² = 0Hoc: ² = 0Hoc: ²0f2всAC #0 HOBC: BC²2 > 0HOBC: BC² = 0

Given, in an experiment to assess the effects of age, type of soil, and day of production on…

Answered: A (b) In an experiment to assess the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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