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Question: 1. A) One particular morning, the length of time s...
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1.
B)
Sales of People magazine are compared over a 5-week period at four Borders outlets in Chicago.
Weekly Sales
Store 1 Store 2 Store 3 Store 4
102 97 89 100
106 77 91 116
105 82 75 87
115 80 106 102
112 101 94 100
Fill in the missing data. (Round your mean values to 1 decimal place and other answers to 2 decimal places.)
Treatment Mean n Std. Dev. Variance
Store 1
Store 2
Store 3
Store 4
Total:
Calculate the value of Hcalc. (Round your answer to 2 decimal places.)
Hcalc ?
C)
Engineers are testing company fleet vehicle fuel economy (miles per gallon) performance by using different types of fuel. One vehicle of each size is tested. Does this sample provide sufficient evidence to conclude that there is a significant difference in treatment means?
87 Octane 89 Octane 91 Octane Ethanol 5% Ethanol 10%
Compact 27.9 30.6 19.7 29.2 29.4
Mid-Size 17.3 18.1 17.8 19.7 31.7
Full-Size 28.8 28.7 18.3 28.7 30.8
SUV 17.8 22.6 18.1 17.2 28.9
PictureClick here for the Excel Data File
(a) Choose the correct statement.
Fuel type is the blocking factor and vehicle size is the treatment.
Fuel type is the treatment and vehicle size is the blocking factor.
(b) Fill in the boxes. (Round your SS values to 3 decimal places, F values to 2 decimal places, and other answers to 4 decimal places.)
Two-Factor ANOVA
Source SS df MS F p-value
Treatments (Vehicle Size)
Blocks (Fuel Type)
Error
Total
Group Mean n Std. Dev
87 Octane
89 Octane
91 Octane
Ethanol 5%
Ethanol 10%
Compact
Mid-Size
Full-Size
SUV
Total
D)
Oxnard Petro, Ltd., has three interdisciplinary project development teams that function on an ongoing basis. Team members rotate from time to time. Every 4 months (three times a year) each department head rates the performance of each project team (using a 0 to 100 scale, where 100 is the best rating). Are the main effects significant? Is there an interaction?
Year Marketing Engineering Finance
2007 82 65 95
84 83 93
86 68 91
2009 88 74 85
87 66 80
80 84 95
2011 83 70 95
90 71 85
81 73 78
Fill in the missing data. (Round your Table of Means values to 1 decimal place, SS and F values to 2 decimal places, MS values to 3 decimal places, and p-values to 4 decimal places.)
Table of Means
Factor 2 (Department)
Factor 1 (Year) Marketing Engineering Finance Average
2007
2009
2011
Total
Source SS df MS F p-value
Factor 1 (Year)
Factor 2 (Department)
Interaction
Error
Total
Explanation / Answer
Descriptive Statistics: Store 1, Store 2, Store 3, Store 4
Total
Variable Count N N* Mean StDev Variance
Store 1 5 5 0 108.00 5.34 28.50
Store 2 5 5 0 87.40 10.83 117.30
Store 3 5 5 0 91.00 11.11 123.50
Store 4 5 5 0 101.00 10.30 106.00
Null Hypothesis: the data does not prove a significant differencein mean weekly sales
Alternative Hypothesis: the data prove a significant difference inmean weekly sales
For this data we have to do the ANOVA one way analysis.
Using MINITAB SOFTWARE :
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Factor 3 1325 441.78 4.71 0.015
Error 16 1501 93.82
Total 19 2827
Here p-value is less than0.05=alpha level significance so we reject the null hypothesis andconclude that the data prove a significant difference in meanweekly sales
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