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.
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DATA ANALYSIS
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10f8a75b-dc28-4f3a-9856-7a4384d2c1e0%2Fd1556318-3479-4d9d-a4d3-660e5c843a27%2Fkzjjswc_processed.jpeg&w=3840&q=75)
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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