el Economy, Minivans - The Environmental Protection Agency (EPA) publishes fuel economy values that are known to be good estimates of the fuel onomy a typical driver will achieve under average driving conditions. One of the fuel economy values the EPA publishes is a combined estimate, ich represents a combination of city driving (55%) and highway driving (45%). yota Sienna, a popular minivan, advertises an average combined fuel usage of 22 mpg. A large rental company collected the information about mbined 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 e company calculates the sample mean to be 21.63 and sample standard deviation as 0.897. und 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 d efficiency of the Sienna is less than what is advertised? ОА. Но : и 3D22 vs. Ha : и # 22 ов. Но : и 3D 22 vs. Ha : и < 22 ос. Но : и 3 22 vs. Ha : и> 22 OD. Họ : µ < 21.63 vs. H. : µ > 21.63 What conditions must be met if we want to perform a hypothesis test and answer the question of the management? Select all that apply: OA. np 2 10 and n(1 – p) > 10 OB. The observations are independent. OC. Population data must be nearly normal or the sample size must be at least 30. OD. There must be at least 3 levels of the categorical variable. 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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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 to 4 decimal places as
ate.
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?
22 vs. Ha : µ + 22
В. Но : и —D 22 vs. Ha : и << 22
22 vs. Ha : и> 22
OA. Ho : u =
С. Но : и
D. Ho : и < 21.63 vs. Ha : и> 21.63
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 =
Cind ond interpret th e offeet size for this otudy
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 to 4 decimal places as ate. 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? 22 vs. Ha : µ + 22 В. Но : и —D 22 vs. Ha : и << 22 22 vs. Ha : и> 22 OA. Ho : u = С. Но : и D. Ho : и < 21.63 vs. Ha : и> 21.63 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 = Cind ond interpret th e offeet size for this otudy
4. Find and interpret the effect size for this study.
Here d=
and we have a
v effect size.
5. A competing rental car company has two large fleets, one in Michigan and one in Ohio. They instruct managers in each state to conduct a similar
test for the Toyota Sienna minivans in their fleet.
The manager in Michigan tests 25 minivans and obtains a p-value of 0.039 and an effect size of 0.75.
The manager in Ohio tests 53 minivans and obtains a p-value of 0.0017 and an effect size of 0.78.
The results in Ohio confirm
v the results in Michigan because the
v?
are
?
p-values
effect sizes
Help Entering Answers
sample sizes
Transcribed Image Text:4. Find and interpret the effect size for this study. Here d= and we have a v effect size. 5. A competing rental car company has two large fleets, one in Michigan and one in Ohio. They instruct managers in each state to conduct a similar test for the Toyota Sienna minivans in their fleet. The manager in Michigan tests 25 minivans and obtains a p-value of 0.039 and an effect size of 0.75. The manager in Ohio tests 53 minivans and obtains a p-value of 0.0017 and an effect size of 0.78. The results in Ohio confirm v the results in Michigan because the v? are ? p-values effect sizes Help Entering Answers sample sizes
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