The following output summarizes the results for a one-way analysis of variance experiment in which the treatments were three different hybrid cars and the variable measured was the miles per gallon (mpg) obtained while driving the same route. (You may find it useful to reference the g table.) Hybrid 1:33, m1 - 20 Hybrid 2: X2=45, m2 = 15 Hybrid 3: Xy 39, m3 - 18 Source of Variation Between Groups Within Groups Total a. At the 5% significance level, can we conclude that average mpg differs between the hybrids? SS 1,080.89 1,319.63 2,400.52 Population Mean Differences S15 SUS df 2 50 52 Confidence Interval MS 540.45 26.39 @Yes. since the p-value is less than the significance level. OYes, since the p-value is not less than the significance level. O No. since the p-value is less than the significance level O No. since the p-value is not less than the significance level 20.48 b. Use Tukey's HSD method at the 5% significance level to determine which hybrids' means differ of the exact value for at - c is not found in the table, then round down. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places) p-value 0.0000 Can we conclude that the hybrids' means differ?

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The following output summarizes the results for a one-way analysis of variance experiment in which the treatments were three
different hybrid cars and the variable measured was the miles per gallon (mpg) obtained while driving the same route. (You may find it
useful to reference the g table.)
Hybrid 1: X
Hybrid 2: X2
Hybrid 3: X
33, n1 = 20
45, n2 = 15
39, n3 = 18
Source of Variation
Between Groups
SS
1,080.89
1,319.63
Within Groups
Total
2,400.52
a. At the 5% significance level, can we conclude that average mpg differs between the hybrids?
df
2
50
52
Population Mean
Differences
MIS
21-1
32-3
Yes, since the p-value is less than the significance level. Ⓒ
O Yes. since the p-value is not less than the significance level.
O No. since the p-value is less than the significance level.
O No. since the p-value is not less than the significance level
Confidence Interval
MS
540.45
26.39
b. Use Tukey's HSD method at the 5% significance level to determine which hybrids' means differ. Of the exact value for at - c is not
found in the table, then round down. Negative values should be indicated by a minus sign. Round your answers to 2 decimal
places.)
1
1
20.48
1
p-value
0.0000
Can we conclude that the
hybrids' means differ?
Transcribed Image Text:The following output summarizes the results for a one-way analysis of variance experiment in which the treatments were three different hybrid cars and the variable measured was the miles per gallon (mpg) obtained while driving the same route. (You may find it useful to reference the g table.) Hybrid 1: X Hybrid 2: X2 Hybrid 3: X 33, n1 = 20 45, n2 = 15 39, n3 = 18 Source of Variation Between Groups SS 1,080.89 1,319.63 Within Groups Total 2,400.52 a. At the 5% significance level, can we conclude that average mpg differs between the hybrids? df 2 50 52 Population Mean Differences MIS 21-1 32-3 Yes, since the p-value is less than the significance level. Ⓒ O Yes. since the p-value is not less than the significance level. O No. since the p-value is less than the significance level. O No. since the p-value is not less than the significance level Confidence Interval MS 540.45 26.39 b. Use Tukey's HSD method at the 5% significance level to determine which hybrids' means differ. Of the exact value for at - c is not found in the table, then round down. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) 1 1 20.48 1 p-value 0.0000 Can we conclude that the hybrids' means differ?
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