A sample of three brands of apple jams was received by a food safety laboratory X and the laboratory was required to test whether the mean content of foreign additive in the three brands of jam were similar. Five chemists were assigned to test the amount of the foreign additives found in the three brands of jam. The results obtained were summarized below: Sum of squares between the three brands of jam = 52.4, Sum of squares within the three brands of jam = 16.0. Perform an appropriate analysis and state the conclusion that should be made by the laboratory at 1% significance level. (ii) State the assumptions that are required in order for the conclusions made in (b)(i) valid.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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A sample of three brands of apple jams was received by a food safety
laboratory X and the laboratory was required to test whether the mean content
of foreign additive in the three brands of jam were similar. Five chemists were
assigned to test the amount of the foreign additives found in the three brands
of jam. The results obtained were summarized below:
Sum of squares between the three brands of jam = 52.4,
Sum of squares within the three brands of jam = 16.0.
Perform an appropriate analysis and state the conclusion that should be
made by the laboratory at 1% significance level.
(ii) State the assumptions that are required in order for the conclusions made
in (b)(i) valid.
Transcribed Image Text:A sample of three brands of apple jams was received by a food safety laboratory X and the laboratory was required to test whether the mean content of foreign additive in the three brands of jam were similar. Five chemists were assigned to test the amount of the foreign additives found in the three brands of jam. The results obtained were summarized below: Sum of squares between the three brands of jam = 52.4, Sum of squares within the three brands of jam = 16.0. Perform an appropriate analysis and state the conclusion that should be made by the laboratory at 1% significance level. (ii) State the assumptions that are required in order for the conclusions made in (b)(i) valid.
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