(b) Input the data in R, and run an analysis of variance to produce the table appropriate for this design, specifying the sources of variation, degrees of freedom, sums of squares, mean squares, and the appropriate values of F used in testing. (Round your SS values, MS values, and your F values to two decimal places.) Source Supplier Cost Interaction Error Total 16 23 df SS 00000 MS F 000
(b) Input the data in R, and run an analysis of variance to produce the table appropriate for this design, specifying the sources of variation, degrees of freedom, sums of squares, mean squares, and the appropriate values of F used in testing. (Round your SS values, MS values, and your F values to two decimal places.) Source Supplier Cost Interaction Error Total 16 23 df SS 00000 MS F 000
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 with B and finding the test critical and p value
Transcribed Image Text:Suppier and cost interact.
H: There are differences among the factor means.
O Ho: There are no differences among the factor means.
H₂: There are differences among the factor means.
Find the test statistic. (Round your answer to two decimal places.)
F =
webassign.net
Use the critical value approach to state the rejection region. (Round your answer to two decimal places.)
F>
State your conclusion.
O Ho is not rejected. There is insufficient evidence to indicate interaction between supplier and
cost.
O Ho is not rejected. There is sufficient evidence to indicate interaction between supplier and
cost.
O Ho is rejected. There sufficient evidence to indicate interaction between supplier and cost.
O Ho is rejected. There is insufficient evidence to indicate interaction between supplier and cost.
(d) Is there a main effect due to suppliers? (Use a = 0.05.)
State the null and alternative hypotheses.
O Ho: At least two of the supplier means differ.
H₂: None of the supplier means are equal.
O Ho: None of the supplier means are equal.
H₂: The supplier means are equal.
OH: At least two of the supplier means differ.
H: The supplier means are equal.
O Ho: The supplier means are equal.
H: None of the supplier means are equal.
OHO: The supplier means are equal.
H: At least two of the supplier means differ.
Find the test statistic. (Round your answer to two decimal places.)
F =
What can be said about the p-value?
O p-value < 0.005
O 0.005<p-value < 0.010
0.010 <p-value < 0.025
O 0.025 < p-value < 0.050
O 0.050 < p-value < 0.100
Op-value > 0.100
State your conclusion.
Transcribed Image Text:The data that follow are the ratings for six smart phones from each of the four suppliers, three of which cost $650 or more
and three of which cost less than $650. The ratings have a maximum value of 100 and a minimum of 0.
Cost $650
Cost $650
(a) What type of experiment was used to evaluate these smart phones?
The design is a 2x4
✔ factorial experiment with 3
suppliers
ratings
✔replications.
What are the factors (independent variables)? How many levels of each factor are used in the experiment? (Enter 0 if
the item listed is not a factor.)
smart phones 0
costs
2
4
Source
Supplier
Cost
(b) Input the data in R, and run an analysis of variance to produce the table appropriate for this design, specifying the
sources of variation, degrees of freedom, sums of squares, mean squares, and the appropriate values of F used in
testing. (Round your SS values, MS values, and your F values to two decimal places.)
Interaction
Error
Total
3
0
16
A
B
C
D
77
74
72
75
75
69
71
73
70
68 71 73
70
69
71 72
68
64
71 71
65 62 71 71
23
Supplier
df
levels
✓ levels
levels
levels
✓
✓
OHO: Supplier and cost interact.
SS
(c) Is there significant interaction between the two factors? (Use α = 0.05.)
State the null and alternative hypotheses.
Ho: Supplier and cost do not interact.
Ha: Supplier and cost interact.
H: Supplier and cost do not interact.
MS
OH: Supplier and cost interact.
differen
OH: There are differences among the factor means.
H₂:
: There are no differences among the factor means.
F
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