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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 | 13.9 | |

Mazola | 16.8 | 17.3 | 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.)

(b) Use the T-K procedure to compute 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 Fleischmann's ( , )

Parkay and Blue Bonnet ( , )

Parkay and Chiffon ( , )

Parkay and Mazola ( , )

Blue Bonnet and Chiffon ( , )

Blue Bonnet and Mazola ( , )

Blue Bonnet and Fleischmann's ( , )

Chiffon and Mazola ( , )

Chiffon and Fleischmann's ( , )

Mazola and Fleischmann's ( , )

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