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...

Extracted 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.