A researcher wanted to determine if using an octane booster would increase gasoline mileage. A random sample of seven cars were selected and were driven for two weeks without the booster and two weeks with the booster. Use the definitions of X1 and X2 as given in the table. Consequently, D = X1 – X2. Test the effectiveness of the octane booster at α=0.05. Assume that the normality assumption is satisfied. Gasoline Mileage
Without booster, X1
(mpg)
Gasoline Mileage without booster, X1 (mpg) Gasoline Mileage With booster, X2(mpg)
21.2 23.8
25.4 25.6
20.9 22.4
27.6 28.3
22.8 24.5
27.3 28.8
23.4 25.2
1. What critical value should be used at a = 0.05?
2. Determine the mean of the differences.
3. State the alternative hypothesis?
4. Compute the standard deviation of the differences.

ege

step-by-step explanation:

egge

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

deez nu tz

step-by-step explanation: