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 | 14.4 | 14.3 | |
---|---|---|---|---|---|
Parkay | 12.8 | 12.5 | 13.4 | 13.0 | 12.3 |
Blue Bonnet | 13.5 | 13.4 | 14.1 | 14.3 | |
Chiffon | 13.2 | 12.7 | 12.6 | 14.1 | |
Mazola | 16.8 | 17.2 | 16.4 | 17.3 | 18.0 |
Fleischmann's | 18.1 | 17.2 | 18.7 | 18.4 |
(a)
Test for differences among the true average PAPUFA percentages for the different brands. Use
α = 0.05.
Calculate the test statistic. (Round your answer to two decimal places.)
F =
The statistical software output for this problem is:
Hence,
Test statistic (F) = 74.01
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