Question

Two major automobile manufacturers have produced compact cars with the same size engines. We are interested in determining whether or not there is a significant difference in the MPG (miles per gallon) of the two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data show the results of the test.

Driver	Manufacturer A	Manufacturer B
1	32	28
2	27	22
3	26	27
4	26	24
5	25	24
6	29	25
7	31	28
8	25	27

The test statistic is

Select one:

A. 1.688

B. -2.057

C. 2.096

D. 2.256

Answer 1

we use Excel

this is paired t-test

data-> data analysis

t-Test: Paired Two Sample for Means
	Manufacturer A	Manufacturer B
Mean	27.625	25.625
Variance	7.410714286	4.839285714
Observations	8	8
Pearson Correlation	0.497975272
Hypothesized Mean Difference	0
df	7
t Stat	2.256304299
P(T<=t) one-tail	0.029325097
t Critical one-tail	1.894578605
P(T<=t) two-tail	0.058650195
t Critical two-tail	2.364624252

TS = 2.256304299

option D) 2.256 is correct

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