Ten randomly selected cars were filled with either regular or premium gas (the decision was made based on a coin toss) and then driven on the freeway for the entirety of the tank of gas. The next day, each car was filled with whichever type of gas that was not used the previous day and then driven on the freeway for the entirety of the tank of gas. The mileage for each day was recorded and is summarized in the table below. MPG of 10 cars (regular/premium): 13/19, 20/22, 21/24, 23/25, 22/25, 27/26, 25/26, 27/28, 28/32, 22/24. Car 1 Car 2 Car 3 Car 4 Car 5 Car 6 Car 7 Car 8 Car 9 Car 10 Regular 16 20 21 23 22 27 25 27 28 22 Premium 19 22 24 25 25 26 26 28 32 24 You will using a 90% confidence level to test the claim that there is a difference between the efficiency rates of premium and regular gas. You may assume that both samples are drawn from normally distributed populations. *Please let the regular gas mpg be sample 1 and the premium gas mpg be sample 2.*

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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show work and why it might be negative if you get negative number please thank you

The test statistic is
Round your answer to 2 decimal places.
Transcribed Image Text:The test statistic is Round your answer to 2 decimal places.
Ten randomly selected cars were filled with either regular or premium gas (the decision was made based on a coin toss) and then
driven on the freeway for the entirety of the tank of gas. The next day, each car was filled with whichever type of gas that was not
used the previous day and then driven on the freeway for the entirety of the tank of gas. The mileage for each day was recorded and is
summarized in the table below.
MPG of 10 cars (regular/premium): 13/19, 20/22, 21/24, 23/25, 22/25, 27/26, 25/26, 27/28, 28/32, 22/24.
Car 1
Car 2
Car 3
Car 4
Car 5
Car 6
Car 7
Car 8
Car 9
Car 10
Regular 16
20
21
23
22
27
25
27
28
22
Premium 19
22
24
25
25
26
26
28
32
24
You will using a 90% confidence level to test the claim that there is a difference between the efficiency rates of premium and regular
gas.
You may assume that both samples are drawn from normally distributed populations.
*Please let the regular gas mpg be sample 1 and the premium gas mpg be sample 2.*
Transcribed Image Text:Ten randomly selected cars were filled with either regular or premium gas (the decision was made based on a coin toss) and then driven on the freeway for the entirety of the tank of gas. The next day, each car was filled with whichever type of gas that was not used the previous day and then driven on the freeway for the entirety of the tank of gas. The mileage for each day was recorded and is summarized in the table below. MPG of 10 cars (regular/premium): 13/19, 20/22, 21/24, 23/25, 22/25, 27/26, 25/26, 27/28, 28/32, 22/24. Car 1 Car 2 Car 3 Car 4 Car 5 Car 6 Car 7 Car 8 Car 9 Car 10 Regular 16 20 21 23 22 27 25 27 28 22 Premium 19 22 24 25 25 26 26 28 32 24 You will using a 90% confidence level to test the claim that there is a difference between the efficiency rates of premium and regular gas. You may assume that both samples are drawn from normally distributed populations. *Please let the regular gas mpg be sample 1 and the premium gas mpg be sample 2.*
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