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An article in the Food Technology Journal (1956, Vol. 10, pp. 39-42) described a study on the protopectin content of tomatoes during storage. Four storage times were selected, and samples from nine lots of tomatoes were analyzed. The protopectin content (expressed as hydrochloric acid soluble fraction mg/kg) is in the table below. Lot Storage Time 1 2 3 4 6 7 8 9 5 346.1 1260 0 day 1694 989 965.6 1116 7 days 461.6 917.3 1123 1106 1802 1074 278.8 1375 544 672.2 818 406.8 1568 646.2 1820 1150 983.7 395.3 422.3 415.5 845.4 377.6 279.4 447.8 272.1 394.1 356.4 351.2 14 days 420 409.5 21 days a. The researchers in this study hypothesized that mean protopectin content would be different at different storage times. Can you confirm this hypothesis with a statistical test using a = 0.05? b. Find the P-value for the test in part (a). c. Which specific storage times are different? Would you agree with the statement that protopectin content decreases as storage time increases? d. Analyze the residuals from this experiment.

An article in the Food Technology Journal (1956, Vol. 10, pp. 39-42) described a study on the protopectin content of tomatoes during storage. Four storage times were selected, and samples from nine lots of tomatoes were analyzed. The protopectin content (expressed as hydrochloric acid soluble fraction mg/kg) is in the table below. Lot Storage Time 1 2 3 4 6 7 8 9 5 346.1 1260 0 day 1694 989 965.6 1116 7 days 461.6 917.3 1123 1106 1802 1074 278.8 1375 544 672.2 818 406.8 1568 646.2 1820 1150 983.7 395.3 422.3 415.5 845.4 377.6 279.4 447.8 272.1 394.1 356.4 351.2 14 days 420 409.5 21 days a. The researchers in this study hypothesized that mean protopectin content would be different at different storage times. Can you confirm this hypothesis with a statistical test using a = 0.05? b. Find the P-value for the test in part (a). c. Which specific storage times are different? Would you agree with the statement that protopectin content decreases as storage time increases? d. Analyze the residuals from this experiment.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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An article in the Food Technology Journal (1956, Vol. 10, pp. 39-42) described a study on the protopectin content of tomatoes during storage. Four storage times were selected, and samples from nine lots of tomatoes were analyzed. The protopectin content (expressed as hydrochloric acid soluble fraction mg/kg) is in the table below. Storage Lot Time 1 2 4 5 6 7 8 9 3 917.3 346.1 0 day 1694 989 1260 1116 965.6 1123 1106 672.2 818 406.8 7 days 1802 1074 278.8 1375 544 461.6 14 days 1568 646.2 1820 1150 983.7 395.3 422.3 420 409.5 21 days 415.5 845.4 377.6 279.4 447.8 272.1 394.1 356.4 351.2 a. The researchers in this study hypothesized that mean protopectin content would be different at different storage times. Can you confirm this hypothesis with a statistical test using a = 0.05? b. Find the P-value for the test in part (a). c. Which specific storage times are different? Would you agree with the statement that protopectin content decreases as storage time increases? d. Analyze the residuals from this experiment.
Transcribed Image Text:An article in the Food Technology Journal (1956, Vol. 10, pp. 39-42) described a study on the protopectin content of tomatoes during storage. Four storage times were selected, and samples from nine lots of tomatoes were analyzed. The protopectin content (expressed as hydrochloric acid soluble fraction mg/kg) is in the table below. Storage Lot Time 1 2 4 5 6 7 8 9 3 917.3 346.1 0 day 1694 989 1260 1116 965.6 1123 1106 672.2 818 406.8 7 days 1802 1074 278.8 1375 544 461.6 14 days 1568 646.2 1820 1150 983.7 395.3 422.3 420 409.5 21 days 415.5 845.4 377.6 279.4 447.8 272.1 394.1 356.4 351.2 a. The researchers in this study hypothesized that mean protopectin content would be different at different storage times. Can you confirm this hypothesis with a statistical test using a = 0.05? b. Find the P-value for the test in part (a). c. Which specific storage times are different? Would you agree with the statement that protopectin content decreases as storage time increases? d. Analyze the residuals from this experiment.
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