Fuel Economy, Minivans - The Environmental Protection Agency (EPA) publishes fuel economy values that are known to be good estimates of the fuel conomy a typical driver will achieve under average driving conditions. One of the fuel economy values the EPA publishes is a combined estimate, vhich represents a combination of city driving (55%) and highway driving (45%). oyota Sienna, a popular minivan, advertises an average combined fuel usage of 22 mpg. A large rental company collected the information about combined fuel economy (mpg) for their 10 Toyota Sienna minivans. The results are shown in the table below. 21.7 21 21.9 20.4 21.8 21.6 22.5 20.8 23.5 21.1 he company calculates the sample mean to be 21.63 and sample standard deviation as 0.897. Round all calculated values to 4 decimal places as appropriate. . The management believes that Toyota has overestimated the fuel economy of the Sienna. Which set of hypotheses should we use to determine if the uel efficiency of the Sienna is less than what is advertised? ОА. Но : и %3D 22 vs. Ha : и # 22 Ов. Но : и %3D 22 vs. Ha : и < 22 ос. Но : и 3D 22 vs. Ha : и> 22

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Fuel Economy, Minivans - The Environmental Protection Agency (EPA) publishes fuel economy values that are known to be good estimates of the fuel
economy a typical driver will achieve under average driving conditions. One of the fuel economy values the EPA publishes is a combined estimate,
which represents a combination of city driving (55%) and highway driving (45%).
Toyota Sienna, a popular minivan, advertises an average combined fuel usage of 22 mpg. A large rental company collected the information about
combined fuel economy (mpg) for their 10 Toyota Sienna minivans. The results are shown in the table below.
21.7
21
21.9
20.4
21.8
21.6
22.5
20.8
23.5
21.1
The company calculates the sample mean to be 21.63 and sample standard deviation as 0.897.
Round all calculated values
4 decimal places as appropriate.
1. The management believes that Toyota has overestimated the fuel economy of the Sienna. Which set of hypotheses should we use to determine if the
fuel efficiency of the Sienna is less than what is advertised?
ОА. Но : и
В. Но : и
С. Но : и
DD. Hо : и < 21.63 vs. H, :и> 21.63
— 22 vs. Hа:
+ 22
22 vs. H, : u < 22
a
22 vs. Ha : и> 22
2. What conditions must be met if we want to perform a hypothesis test and answer the question of the management? Select all that apply:
A. np > 10 and n(1 – p) > 10
|B. The observations are independent.
C. Population data must be nearly normal or the sample size must be at least 30.
D. There must be at least 3 levels of the categorical variable.
3. Assuming the conditions for the hypothesis test are met, find the test statistic and the p-value.
test statistic =
p-value =
Transcribed Image Text:Fuel Economy, Minivans - The Environmental Protection Agency (EPA) publishes fuel economy values that are known to be good estimates of the fuel economy a typical driver will achieve under average driving conditions. One of the fuel economy values the EPA publishes is a combined estimate, which represents a combination of city driving (55%) and highway driving (45%). Toyota Sienna, a popular minivan, advertises an average combined fuel usage of 22 mpg. A large rental company collected the information about combined fuel economy (mpg) for their 10 Toyota Sienna minivans. The results are shown in the table below. 21.7 21 21.9 20.4 21.8 21.6 22.5 20.8 23.5 21.1 The company calculates the sample mean to be 21.63 and sample standard deviation as 0.897. Round all calculated values 4 decimal places as appropriate. 1. The management believes that Toyota has overestimated the fuel economy of the Sienna. Which set of hypotheses should we use to determine if the fuel efficiency of the Sienna is less than what is advertised? ОА. Но : и В. Но : и С. Но : и DD. Hо : и < 21.63 vs. H, :и> 21.63 — 22 vs. Hа: + 22 22 vs. H, : u < 22 a 22 vs. Ha : и> 22 2. What conditions must be met if we want to perform a hypothesis test and answer the question of the management? Select all that apply: A. np > 10 and n(1 – p) > 10 |B. The observations are independent. C. Population data must be nearly normal or the sample size must be at least 30. D. There must be at least 3 levels of the categorical variable. 3. Assuming the conditions for the hypothesis test are met, find the test statistic and the p-value. test statistic = p-value =
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