Determining test statistic using equal variances formula

Reference no: EM1318341

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: m_D ≠ 0

B) H₁: m_D < 0

C) H₁: m_D = 0

D) H₁: m_D ≥ 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

Reference no: EM1318341

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