A study was conducted to compare the sodium content in four brands of tuna fish. Five samples were obtained from each brand, and the amount of sodium (mg) per can was measured. The results of the analysis of variance were: Dependent Variable: sodium Sum of Source DF Squares Mean Square F Value Pr > F Brand 3 37854.15 12618.05 67.82 .0001 Error 16 2976.8 186.05 Corrected Total 19 40830.95 The sample means were: Brand A 252.2, Brand B 296., Brand C 180., and Brand D 212. c) For the tuna fish study, one question of interest is whether the mean sodium content of Brand B is different than the average of the mean sodium content in Brands A, C, and D. A second question of interest is whether the mean sodium content of Brand A is different than the average of the mean sodium content in Brands C and D. For each question write a corresponding contrast among the tuna brand means. Are the two contrasts orthogonal? You do not need to test either hypothesis
A study was conducted to compare the sodium content in four brands of tuna fish. Five samples were obtained from each brand, and the amount of sodium (mg) per can was measured. The results of the analysis of variance were: Dependent Variable: sodium Sum of Source DF Squares Mean Square F Value Pr > F Brand 3 37854.15 12618.05 67.82 .0001 Error 16 2976.8 186.05 Corrected Total 19 40830.95 The sample means were: Brand A 252.2, Brand B 296., Brand C 180., and Brand D 212. c) For the tuna fish study, one question of interest is whether the mean sodium content of Brand B is different than the average of the mean sodium content in Brands A, C, and D. A second question of interest is whether the mean sodium content of Brand A is different than the average of the mean sodium content in Brands C and D. For each question write a corresponding contrast among the tuna brand means. Are the two contrasts orthogonal? You do not need to test either hypothesis
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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2) A study was conducted to compare the sodium content in four brands of tuna fish. Five samples were obtained from each brand, and the amount of sodium (mg) per can was measured. The results of the analysis of variance were:
Dependent Variable: sodium
Sum of
Source DF Squares Mean Square F Value Pr > F
Brand 3 37854.15 12618.05 67.82 .0001
Error 16 2976.8 186.05
Corrected Total 19 40830.95
The sample means were: Brand A 252.2, Brand B 296., Brand C 180., and Brand D 212.
c) For the tuna fish study, one question of interest is whether the mean sodium content of Brand B is different than the average of the mean sodium content in Brands A, C, and D. A second question of interest is whether the mean sodium content of Brand A is different than the average of the mean sodium content in Brands C and D. For each question write a corresponding contrast among the tuna brand means. Are the two contrasts orthogonal? You do not need to test either hypothesis
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