Answered: Suppose samples of six different brands…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Suppose samples of six different brands of diet or imitation margarine were analyzed to determine the level of physiologically active polyunsaturated fatty acids (PAPUFA, in percent), resulting in the data shown in the accompanying table.

Imperial	14.1	13.6	14.6	14.3
Parkay	12.8	12.5	13.6	13.0	12.3
Blue Bonnet	13.5	13.4	14.1	14.5
Chiffon	13.2	12.7	12.6	14
Mazola	16.8	17.3	16.4	17.3	18.0
Fleischmann's	18.1	17.2	18.8	18.4

(a)

Test for differences among the true means for PAPUFA percentages among the different brands. Use

? = 0.05.

Calculate the test statistic. (Round your answer to two decimal places.)

F =

Use technology to find the P-value. (Round your answer to four decimal places.)

P-value =

What can you conclude?

Reject H₀. There is convincing evidence that the mean PAPUFA percentages for the six brands are not all equal.Fail to reject H₀. There is convincing evidence that the mean PAPUFA percentages for the six brands are not all equal. Reject H₀. There is not convincing evidence that the mean PAPUFA percentages for the six brands are not all equal.Fail to reject H₀. There is not convincing evidence that the mean PAPUFA percentages for the six brands are not all equal.

(b)

Use the T-K procedure to calculate 95% simultaneous confidence intervals for all differences between means. (Round your answers to three decimal places.)

Imperial and Parkay

Imperial and Blue Bonnet

Imperial and Chiffon

Imperial and Mazola

Imperial and Fleischmann's

Parkay and Blue Bonnet

Parkay and Chiffon

Parkay and Mazola

Parkay and Fleischmann's

Blue Bonnet and Chiffon

Blue Bonnet and Mazola

Blue Bonnet and Fleischmann's