A research firm wants to compare the miles per gallon of unleaded regular, mid-grade, and super premium gasolines. Because of differences in the performance of different automobiles, seven different automobiles were selected and treated as blocks. Therefore, each brand of gasoline was tested with each type of automobile. The results of the trials, in miles per gallon, are shown in the following table. Automobile Gasoline Regular 21 23 24 24 26 26 28 Oa Ob Null hypothesis: a. Ho HR HM HS b. Ho HR HM Hs Mid-grade 23 2544450 22 25 24 26 27 Super Premium Click here for the Excel Data File Required: a-1. Identify the null hypothesis and the alternative hypothesis for gasoline and automobile: 26 25 27 26 30 27 32

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A research firm wants to compare the miles per gallon of unleaded regular, mid-grade, and super premium gasolines. Because of
differences in the performance of different automobiles, seven different automobiles were selected and treated as blocks. Therefore,
each brand of gasoline was tested with each type of automobile. The results of the trials, in miles per gallon, are shown in the
following table.
Automobile
1
2
3
4
5
7
Regular
21
23
24
Gasoline
24
26
26
28
Mid-grade
3222222
Null hypothesis:
a. Ho HR HM HS
b. Ho HR HM HS
22
25
24
26
24
Click here for the Excel Data File
27
Super
Premium
26
25
27
26
Required:
a-1. Identify the null hypothesis and the alternative hypothesis for gasoline and automobile:
30
27
32
Transcribed Image Text:A research firm wants to compare the miles per gallon of unleaded regular, mid-grade, and super premium gasolines. Because of differences in the performance of different automobiles, seven different automobiles were selected and treated as blocks. Therefore, each brand of gasoline was tested with each type of automobile. The results of the trials, in miles per gallon, are shown in the following table. Automobile 1 2 3 4 5 7 Regular 21 23 24 Gasoline 24 26 26 28 Mid-grade 3222222 Null hypothesis: a. Ho HR HM HS b. Ho HR HM HS 22 25 24 26 24 Click here for the Excel Data File 27 Super Premium 26 25 27 26 Required: a-1. Identify the null hypothesis and the alternative hypothesis for gasoline and automobile: 30 27 32
Alternate hypothesis:
H₁: All means are the same.
OH₁: At least one mean is different.
a-2. Automobile
Null hypothesis:
k
Mean mileage is not the same.
Mean mileage is the same.
Alternate hypothesis:
Mean mileage is not the same.
Mean mileage is the same.
b. What are the test statistics? (Round your answers to 4 decimal places.)
Test statistics
values
Treatments
Blocks
Transcribed Image Text:Alternate hypothesis: H₁: All means are the same. OH₁: At least one mean is different. a-2. Automobile Null hypothesis: k Mean mileage is not the same. Mean mileage is the same. Alternate hypothesis: Mean mileage is not the same. Mean mileage is the same. b. What are the test statistics? (Round your answers to 4 decimal places.) Test statistics values Treatments Blocks
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