Q1: A transport company wants to compare the fuel efficiencies of the two types of lorry it...

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Q1: A transportcompany wants to compare the fuel efficiencies of the two types oflorry it operates. It obtains data from samples of the two types oflorry, with the following results:

Type

Average mpg

Std devn

Sample size

A

30.1

7.6

13

B

33.2

5.8

17

At 90% confidence level, test the hypothesis that lorries oftype B are more efficient than type A. Use critical valueapproach and assume unequal variation in mpg of twotypes.

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Solution Let X mpg of lorry of Type A and Y mpg of lorry of Type B Then X N1 12 and Y N2 22 where 12 and 22 are unequal given assume unequal variation in mpg of two types and unknown Claim Lorries of Type B are more efficient than lorries of Type A Hypotheses Null H0    See Answer
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