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 Parkay and Blue Bonnet Parkay and Chiffon Parkay and Mazola Parkay and Fleischmann's Blue Bonnet and Chiffon 14.1 13.6 14.5 14.3 (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 = 69.93 Blue Bonnet and Mazola 12.8 12.5 13.5 13.0 12.3 Use technology to find the P-value. (Round your answer to four decimal places.) P-value 5.6542 X 13.5 13.4 14.1 14.4 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. 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. Chiffon and Mazola 12.7 12.6 14 16.8 17.4 16.4 17.3 18.0 (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 Chiffon and Fleischmann's 13.2 Mazola and Fleischmann's 18.1 17.2 18.9 18.4 Blue Bonnet and Fleischmann's 1.1 1.[ 0.0 0.0 1.1 1.1 1.[ 1.[ 0.0 7.0 1.[ 1.0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Please please help me fill out the table!! not just the p-value!

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
Imperial and Blue Bonnet
Fleischmann's 18.1 17.2 18.9 18.4
Imperial and Chiffon
(a) Test for differences among the true means for PAPUFA percentages among the different brands. Use α = 0.05.
Calculate the test statistic. (Round your answer to two decimal places.)
F = 69.93
Parkay and Blue Bonnet
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value = 5.6542
X
Parkay and Chiffon
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.
O Reject Ho. There is not convincing evidence that the mean PAPUFA percentages for the six brands are not all equal.
O 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.
Parkay and Mazola
14.1 13.6 14.5 14.3
(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
Parkay and Fleischmann's
12.8 12.5 13.5 13.0 12.3
Imperial and Mazola
Imperial and Fleischmann's
Blue Bonnet and Chiffon
13.5 13.4 14.1 14.4
Blue Bonnet and Mazola
13.2 12.7 12.6 14
16.8
Chiffon and Mazola
Chiffon and Fleischmann's
Mazola and Fleischmann's
17.4 16.4 17.3
Blue Bonnet and Fleischmann's
18.0
Transcribed Image Text: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 Imperial and Blue Bonnet Fleischmann's 18.1 17.2 18.9 18.4 Imperial and Chiffon (a) Test for differences among the true means for PAPUFA percentages among the different brands. Use α = 0.05. Calculate the test statistic. (Round your answer to two decimal places.) F = 69.93 Parkay and Blue Bonnet Use technology to find the P-value. (Round your answer to four decimal places.) P-value = 5.6542 X Parkay and Chiffon 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. O Reject Ho. There is not convincing evidence that the mean PAPUFA percentages for the six brands are not all equal. O 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. Parkay and Mazola 14.1 13.6 14.5 14.3 (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 Parkay and Fleischmann's 12.8 12.5 13.5 13.0 12.3 Imperial and Mazola Imperial and Fleischmann's Blue Bonnet and Chiffon 13.5 13.4 14.1 14.4 Blue Bonnet and Mazola 13.2 12.7 12.6 14 16.8 Chiffon and Mazola Chiffon and Fleischmann's Mazola and Fleischmann's 17.4 16.4 17.3 Blue Bonnet and Fleischmann's 18.0
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