A community sports league is raising money by making custom shirts to sell at league games. They plan to sell the shirts for $14
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Answer:
Step-by-step explanation:
Hello!
The objective is to test if there is a difference between the fuel economy of mid-size domestic cars and mid-size import cars.
For this there are two samples taken:
X₁: Fuel economy of a domestic car.
Sample 1
n₁= 17 domestic cars
X[bar]₁= 34.904 MPG
S₁= 4.6729 MPG
X₂: Fuel economy of an import car.
Sample 2
n₂= 15 import cars
X[bar]₂= 28.563 MPG
S₂= 8.4988 MPG
To estimate the difference between the average economic fuel of domestic cars and import cars, assuming both variables have a normal distribution and both population variances are unknown but equal, the statistic to use is a t-test for two independent samples with pooled sample variance:
(X[bar]₁-X[bar]₂)±
Sa= 6.73
(34.904-28.563)±
6.341±1.697*2.38
[2.30;10.38]
With a confidence level of 90%, you'd expect that the difference between the average economic fuel of domestic cars and import cars will be contained in the interval [2.30;10.38].
I hope it helps!