Q1) A researcher wished to find out if using octane booster would increase gasoline mileage. Random sample of 7 cars was chosen; cars were driven for two weeks without booster and two weeks with booster.
Miles / Gal Without
|
Miles / Gal With
|
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
|
Mention the alternative hypothesis?
A) H1: mD ≠ 0
B) H1: mD < 0
C) H1: mD = 0
D) H1: mD ≥ 0
Q2) In testing equality of two means below, determine the test statistic? (Use the equal variances formula)
|
Sample 1
|
Sample 2
|
Sample size
|
12
|
8
|
Sample mean
|
115
|
80
|
Sample varia ce
|
700
|
450
|
A) 0.28
B) 3.12
C) 2.37
D) 0.14