(b) Construct the analysis of variance table for this data. (Round your answers to two decimal places.) Source Treatments Error Total 3 16 19 df Ho: M₁ < M₂ State your conclusion. Ho is not rejected. There is insufficient evidence to indicate a difference in the average prices for the four states. OH is not rejected. There is sufficient evidence to indicate a difference in the average prices for the four states. Ho is rejected. There is insufficient evidence to indicate a difference in the average prices for the four state O Ho is rejected. There is sufficient evidence to indicate a difference in the average prices for the four states

(b) Construct the analysis of variance table for this data. (Round your answers to two decimal places.) Source Treatments Error Total 3 16 19 df Ho: M₁ < M₂ State your conclusion. Ho is not rejected. There is insufficient evidence to indicate a difference in the average prices for the four states. OH is not rejected. There is sufficient evidence to indicate a difference in the average prices for the four states. Ho is rejected. There is insufficient evidence to indicate a difference in the average prices for the four state O Ho is rejected. There is sufficient evidence to indicate a difference in the average prices for the four states

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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Question

Need help on B and the last ones for C

A builder wants to compare the prices per 1,000 board feet of standard or better grade framing lumber. He randomly
selects five suppliers in each of the four states where the builder is planning to begin construction. The prices are given in
the table.
1 ($)
263
257
258
Error
267
Total
271
Source
State
Treatments
2 ($) 3 ($) 4 ($)
236
240
226
233
240
251
245
255
248
260
265
(a) What type of experimental design has been used?
270
completely randomized design with five independent samples
completely randomized design with four independent samples
nonrandomized design
randomized block design with four blocks
O randomized block design with five blocks
258
(b) Construct the analysis of variance table for this data. (Round your answers to two decimal places.)
df
275
276
SS
MS

(b) Construct the analysis of variance table for this data. (Round your answers to two decimal places.)
Source
Treatments
Error
Total
3
16
19
df
O Ho: M₁ < M₂ < M3 <H4
на: М1 = М2 = M3 =H4
SS
3297.75
679
O Ho: M₁ = M₂ = M3 = M4
Ha: M₁ <M₂ <3 <H4
X
X
3976.75 X
о ном1 = М2 = M3 =H4
H: None of the population means are the same.
(c) Do the data provide sufficient evidence to indicate that the average price per 1,000 board feet of framing lumber
differs among the four states? Use the ANOVA table to answer these questions. Test using α = 0.05.
State the null and alternative hypotheses.
но: H1 = M2 = M3 =H4
H: One or more pairs of population means differ.
OH: One or more pairs of population means differ.
на: М1 =M2 =Nз =H4
MS
1099.25 X
42.43
x
Find the test statistic. (Round your answer to two decimal places.)
F =
Use the critical value approach to state the rejection region. (Round your answer to two decimal places.)
F>
State your conclusion.
OH is not rejected. There is insufficient evidence to indicate a difference in the average prices for the four
states.
OH is not rejected. There is sufficient evidence to indicate a difference in the average prices for the four
states.
Ho is rejected. There is insufficient evidence to indicate a difference in the average prices for the four states.
O Ho is rejected. There is sufficient evidence to indicate a difference in the average prices for the four states.

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