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Define a linear combination for effect

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Reference no: EM13983443

Problem:

To assess the effect of three different gasoline supplements on average mileage (mi/gal), researchers conducted an experiment using 60 automobiles of the same type, model, and engine size, with 10 automobiles randomly assigned to each gasoline blend. The six gasoline blends and the resulting data appear in the accompanying table.

Group

Description

ni

Sample Mean

Sample S.D.

1

Control

10

25.5999

5.59255

2

Control + Supplement A

10

26.7061

5.13037

3

Control + Supplement B

10

28.2070

4.00454

4

Control + Supplement C

10

33.2476

4.50070

5

Control + Supplement A + Supplement B

10

34.1239

5.80158

6

Control + Supplement A + Supplement C

10

37.3222

4.88503

Note: Because of the chemical makeup of supplement B and C, they could not be combined in the same blend.

a. Suppose you want to determine if there is an overall supplement A effect. Define a linear combination for this effect and calculate a 98% confidence interval for the linear combination.

Reference no: EM13983443

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