Analysis of Variance Using the information within the chart at this link, comple
ID: 3329963 • Letter: A
Question
Analysis of Variance
Using the information within the chart at this link, complete the following, https://www.chegg.com/homework-help/questions-and-answers/large-metropolitan-police-force-considering-changing-full-size-cars-mid-size-cars-police-f-q1090514?trackid=507133eb&strackid=004e2b71&ii=1
Similar to problem 11.10 in the text, based on section 11.2 of the text. A large metropolitan police force is considering changing from full-size cars to intermediates. The police force sampled cars from each of three manufacturers. Each car was driven 5,000 miles, and the operating cost per mile computed. The operating cost, in cents per mile, for the 21 cars is presented below. Perform an analysis of variance on these data using a significance level of 0.05.
Report the:
a. Critical value
b. Test statistic
c. Your decision
d. Conclusion
H0: The population means are equal.
H1: The population means are not all equal.
Total Sum of Squares: SST =
SSB =
Complete the ANOVA Table:
ANOVA Table
Source of Variation
Sum of Squares
df
MS
F
Between Groups
Within Groups
Total
20
Using the charts in this picture provided by the link, complete the following: https://www.chegg.com/homework-help/questions-and-answers/similar-problem-117-text-based-section-112-text-individual-owns-3-automobile-dealerships-i-q19667440?trackid=1ddaa225&strackid=71c681d8&ii=1
Similar to problem 11.7 in the text, based on section 11.2 of the text. An individual owns 3 automobile dealerships and is interested in determining whether average daily sales for the 3 dealerships are the same. A random selection of daily sales at the 3 dealerships is presented in the table below.
State the appropriate null and alternative hypotheses for this analysis.
What is the between-column (explained) variance?
Report the Mean Square Error (MSE) for this ANOVA?
What is the value of the test-statistic for the test specified above?
What are the degrees of freedom for the hypothesis that average sales for each dealership are equal?
a. 2 for numerator, 9 for denominator
b. 9 for numerator, 2 for denominator
c. 2 for numerator, 11 for denominator
d. 11 for numerator, 9 for denominator
In testing the hypothesis that average sales for each dealership are equal, the appropriate conclusion to be drawn would be:
a. reject H0 at the 10% significance level.
b. the test is significant at the 88% level.
c. the test is not significant at the 5% level.
d. cannot reject the null hypothesis at the 10% level.
e. accept the null hypothesis at the 88% level.
What is the critical value for this test if the decision maker is willing to take a 10% chance of error?
In one sentence, make a statement to interpret the results of this analysis.
ANOVA Table
Source of Variation
Sum of Squares
df
MS
F
Between Groups
Within Groups
Total
20
Explanation / Answer
Enter the data into Excel.
Go to Data tab -> Click on Data Analysis tool pack -> Choose Anova : Single factor -> Click ok.
Select the data in the input range -> Tick labels -> Click ok.
Anova: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
CAR1
8
111
13.875
0.382143
CAR2
5
64.8
12.96
0.163
CAR3
7
105.1
15.01429
0.388095
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
12.69393
2
6.346964
19.07825
4.52E-05
3.591531
Within Groups
5.655571
17
0.332681
Total
18.3495
19
a.Critical value : 3.591531
b.Test statistic : 19.07825
c.Decision : Reject the null hypothesis since test statistic > critical value.
d.Conclusion : the average operating costs per mile for the 3 types of police cars are significantly different.
SST = 18.3495
SSB = 12.69393
Anova table is given above.
Anova: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
CAR1
8
111
13.875
0.382143
CAR2
5
64.8
12.96
0.163
CAR3
7
105.1
15.01429
0.388095
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
12.69393
2
6.346964
19.07825
4.52E-05
3.591531
Within Groups
5.655571
17
0.332681
Total
18.3495
19
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