Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below are summarystatistics on fuel efficiency (in miles/gallon for city driving) from random samples of cars with manual and automatic transmissions manufactured in 2012.We want to know if there is a statistical difference between the average fuel efficiencies between the two different types of transmission.Automatic Transmission Manual TransmissionX1 = 15.7Si = 3.6N1 = 26T2 = 19S2 = 4.65N2 = 34Mean%3DSDSample Size(a) Calculate the standard error for the appropriate sampling distribution: SE =(b) We want to calculate a 91% confidence interval for the difference between the gas mileages for the automatic transmission and the manualtransmission cars. What is the critical t-score that we should use to build our confidence interval? tcritical(c) Calculate the margin of error, the lower bound, and the upper bound for the 91% confidence interval.Margin of Error =Lower Bound =Upper Bound =

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Description: Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below are summarystatistics on fuel efficiency (in miles/gallon for city driving) from random samples of cars with manual and automa

Given, Automatic Transmission Manual transmission Mean 15.7 19 SD 3.6 4.65…

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Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below are summary statistics on fuel efficiency (in miles/gallon for city driving) from random samples of cars with manual and automatic transmissions manufactured in 2012. We want to know if there is a statistical difference between the average fuel efficiencies between the two different types of transmission. Automatic Transmission Manual Transmission Tị = 15.7 S1 = 3.6 N1 = 26 T2 = 19 S2 = 4.65 N2 = 34 Мean SD Sample Size (a) Calculate the standard error for the appropriate sampling distribution: SE = (b) We want to calculate a 91% confidence interval for the difference between the gas mileages for the automatic transmission and the manual transmission cars. What is the critical t-score that we should use to build our confidence interval? teritical = (c) Calculate the margin of error, the lower bound, and the upper bound for the 91% confidence interval. Margin of Error= Lower Bound= Upper Bound =

Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below are summary statistics on fuel efficiency (in miles/gallon for city driving) from random samples of cars with manual and automatic transmissions manufactured in 2012. We want to know if there is a statistical difference between the average fuel efficiencies between the two different types of transmission. Automatic Transmission Manual Transmission Tị = 15.7 S1 = 3.6 N1 = 26 T2 = 19 S2 = 4.65 N2 = 34 Мean SD Sample Size (a) Calculate the standard error for the appropriate sampling distribution: SE = (b) We want to calculate a 91% confidence interval for the difference between the gas mileages for the automatic transmission and the manual transmission cars. What is the critical t-score that we should use to build our confidence interval? teritical = (c) Calculate the margin of error, the lower bound, and the upper bound for the 91% confidence interval. Margin of Error= Lower Bound= Upper Bound =

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Question

Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below are summary
statistics on fuel efficiency (in miles/gallon for city driving) from random samples of cars with manual and automatic transmissions manufactured in 2012.
We want to know if there is a statistical difference between the average fuel efficiencies between the two different types of transmission.
Automatic Transmission Manual Transmission
X1 = 15.7
Si = 3.6
N1 = 26
T2 = 19
S2 = 4.65
N2 = 34
Mean
%3D
SD
Sample Size
(a) Calculate the standard error for the appropriate sampling distribution: SE =
(b) We want to calculate a 91% confidence interval for the difference between the gas mileages for the automatic transmission and the manual
transmission cars. What is the critical t-score that we should use to build our confidence interval? tcritical
(c) Calculate the margin of error, the lower bound, and the upper bound for the 91% confidence interval.
Margin of Error =
Lower Bound =
Upper Bound =

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