Answer :
The difference in the mean of the two major automobile manufactures is equal to option c. 2.0.
As given in the questions,
Number of samples selected for each manufactures = 8
For manufacturers A :
Mean of manufacturer A
=(Sum of all the eight data) / ( Number of data)
= ( 32+ 27 + 26 + 26 + 25 + 29 + 31 + 25 ) / 8
= 221 / 8
= 27.625
Mean of manufacturer B
=(Sum of all the eight data) / ( Number of data)
= ( 28 + 22 + 27 + 24 + 24 + 25 + 28 + 27 ) / 8
= 205 / 8
= 25.625
Difference in the mean of manufacturer A and B
= 27.625 - 25.625
= 2.0
Therefore, the difference in the mean of both manufacturer is given by Option C. 2.0.
The complete question is :
Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining whether or not there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these 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 (in miles per gallon) show the results of the test. Assume the population of differences is normally distributed.
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
A) The mean for the differences is __________
a. 0.50 b. 1.5 c. 2.0 d. 2.5
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