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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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