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 Parkay Blue Bonnet Chiffon Mazola Fleischmann's Imperial and Chiffon Imperial and Mazola Parkay and Blue Bonnet Parkay and Chiffon 14.1 Parkay and Mazola Parkay and Fleischmann's Blue Bonnet and Chiffon 12.8 12.5 13.5 Blue Bonnet and Mazola 13.2 Imperial and Fleischmann's Chiffon and Mazola 13.6 14.5 (a) Test for differences among the true means for PAPUFA percentages among the different brands. Use a = 0.05. Calculate the test statistic. (Round your answer to two decimal places.) F = Chiffon and Fleischmann's Use technology to find the P-value. (Round your answer to four decimal places.) P-value = Mazola and Fleischmann's 13.4 What can you conclude? O Fail to reject Ho. There is not convincing evidence that the mean PAPUFA percentages for the six brands are not all equal. 13.5 O Reject Ho. There is not convincing evidence that the mean PAPUFA percentages for the six brands are not all equal. Ⓒ● Reject Ho. There is convincing evidence that the mean PAPUFA percentages for the six brands are not all equal. O Fail to reject Ho. There is 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 Blue Bonnet and Fleischmann's 14.3 12.7 12.6 13.0 14.1 14.4 14 16.8 17.4 16.4 17.3 18.0 18.1 17.2 18.9 18.4 12.3
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 Parkay Blue Bonnet Chiffon Mazola Fleischmann's Imperial and Chiffon Imperial and Mazola Parkay and Blue Bonnet Parkay and Chiffon 14.1 Parkay and Mazola Parkay and Fleischmann's Blue Bonnet and Chiffon 12.8 12.5 13.5 Blue Bonnet and Mazola 13.2 Imperial and Fleischmann's Chiffon and Mazola 13.6 14.5 (a) Test for differences among the true means for PAPUFA percentages among the different brands. Use a = 0.05. Calculate the test statistic. (Round your answer to two decimal places.) F = Chiffon and Fleischmann's Use technology to find the P-value. (Round your answer to four decimal places.) P-value = Mazola and Fleischmann's 13.4 What can you conclude? O Fail to reject Ho. There is not convincing evidence that the mean PAPUFA percentages for the six brands are not all equal. 13.5 O Reject Ho. There is not convincing evidence that the mean PAPUFA percentages for the six brands are not all equal. Ⓒ● Reject Ho. There is convincing evidence that the mean PAPUFA percentages for the six brands are not all equal. O Fail to reject Ho. There is 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 Blue Bonnet and Fleischmann's 14.3 12.7 12.6 13.0 14.1 14.4 14 16.8 17.4 16.4 17.3 18.0 18.1 17.2 18.9 18.4 12.3
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