I need help with the Standard Deviation total in part B. of this question and would like to verify my answers are correct in part D. Thank you

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I need help with the Standard Deviation total in part B. of this question and would like to verify my answers are correct in part D.

Thank you

Section Exercise 11-22 (Static)
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
30.0
91 оctane
Ethanol 5%
Ethanol 18%
Соmpact
Mid-Size
Full-Size
27.2
30.3
26.8
25.8
23.0
25.6
28.6
26.6
23.3
20.8
17.4
21.4
22.5
22.2
22.1
18.9
SUV
18.7
24.1
18.7
Click here for the Excel Data File
(a) Choose the correct statement.
Fuel type is the blocking factor and vehlicle 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, Fvalues to 2 decimal places, and other answers to 4 decimal
places.)
Two-Factor ANOVA
p-value
0.0040
Source
df
MS
F
Treatments (Fuel Type)
54.065
4
13.5162
6.94
Blocks (Vehicle Size)
201.612
3
67.2040
34.52
0.0000
Error
23.363
12
1.9469
Total
279.040
19
Standard
Deviation
Group
Mean
87 Octane
22.5750
4
3.5575
89 Octane
25.5500
4
3.2254
91 Octane
25.8000
4
4.2716
Ethanol 5%
22.7500
4
4.5625
Ethanol 10%
21.8250
4
3.5874
Compact
28.0200
2.0130
Mid-Size
25.4200
5
2.3392
Full-Size
21.1600
5
1.4293
SUV
20.2000
5
2.7911
Total
23.7000
20
Transcribed Image Text:Section Exercise 11-22 (Static) 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 30.0 91 оctane Ethanol 5% Ethanol 18% Соmpact Mid-Size Full-Size 27.2 30.3 26.8 25.8 23.0 25.6 28.6 26.6 23.3 20.8 17.4 21.4 22.5 22.2 22.1 18.9 SUV 18.7 24.1 18.7 Click here for the Excel Data File (a) Choose the correct statement. Fuel type is the blocking factor and vehlicle 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, Fvalues to 2 decimal places, and other answers to 4 decimal places.) Two-Factor ANOVA p-value 0.0040 Source df MS F Treatments (Fuel Type) 54.065 4 13.5162 6.94 Blocks (Vehicle Size) 201.612 3 67.2040 34.52 0.0000 Error 23.363 12 1.9469 Total 279.040 19 Standard Deviation Group Mean 87 Octane 22.5750 4 3.5575 89 Octane 25.5500 4 3.2254 91 Octane 25.8000 4 4.2716 Ethanol 5% 22.7500 4 4.5625 Ethanol 10% 21.8250 4 3.5874 Compact 28.0200 2.0130 Mid-Size 25.4200 5 2.3392 Full-Size 21.1600 5 1.4293 SUV 20.2000 5 2.7911 Total 23.7000 20
(c) Choose the correct statement. Use a = 0.05.
Fuel type means differ significantly and vehicle size is also a significant factor.
O Fuel type means do not differ significantly, but vehicle size Is a significant factor.
Fuel type means differ significantly, but vehicle sıze is not a significant factor.
O Fuel type means do not differ significantly and vehicle size Is not a significant factor.
(d) Which fuel types show a significant difference In average fuel economy? Use a = 0.05. (You may select more than one answer.
Clck the box with a check mark for the correct answer and cllck to empty the box for the wrong answer.)
Ethanol 5% and 89 Octane
Ethanol 10% and 89 Octane
Ethanol 10% and 91 Octane
87 Octane and 91 Octane
Ethanol 5% and 91 Octane
| Ethanol 10% and 87 Octane
Transcribed Image Text:(c) Choose the correct statement. Use a = 0.05. Fuel type means differ significantly and vehicle size is also a significant factor. O Fuel type means do not differ significantly, but vehicle size Is a significant factor. Fuel type means differ significantly, but vehicle sıze is not a significant factor. O Fuel type means do not differ significantly and vehicle size Is not a significant factor. (d) Which fuel types show a significant difference In average fuel economy? Use a = 0.05. (You may select more than one answer. Clck the box with a check mark for the correct answer and cllck to empty the box for the wrong answer.) Ethanol 5% and 89 Octane Ethanol 10% and 89 Octane Ethanol 10% and 91 Octane 87 Octane and 91 Octane Ethanol 5% and 91 Octane | Ethanol 10% and 87 Octane
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