Not quite sure how to solve this and would appreciatehelp It is determined that

Question

Not quite sure how to solve this and would appreciatehelp It is determined that car model A has better gas mileage thancar model B. In a random sample gas mileages for 15 model A carsyielded x bar for A = 32 miles / gal s sub A = 10 miles/ gal, and for 12 model B cars the mileages were x bar- 30 miles/gal and s sub B = 9 miles/gal. Test this claim at 95% confidence level. Not quite sure how to solve this and would appreciatehelp It is determined that car model A has better gas mileage thancar model B. In a random sample gas mileages for 15 model A carsyielded x bar for A = 32 miles / gal s sub A = 10 miles/ gal, and for 12 model B cars the mileages were x bar- 30 miles/gal and s sub B = 9 miles/gal. Test this claim at 95% confidence level.

Explanation / Answer

The first step is simply the difference betweenmeans.

MSE = (10 + 12)/2 = 11

Since n 12+15=27

Finally, compute the probability t larger than 2.2. To do this, we need to know the degrees offreedom, DF=(n1 -1) + (n2 -1) , 12+15=27. Therefore the degrees forfreedom is 25

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