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5. A research described a study on the protopectin content of tomatoes during storage. Four storage times were selected, and


917 5. A research described a study on the protopectin content of tomatoes during storage. Four storage times were selected,
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Answer #1

1.

Source SS    df MS F    p-value
Storage Time 19,73,068.89 3 6,57,689.630 4.33 .0142
Storage Lot 19,80,982.22 8 2,47,622.778 1.63 .1686
Error 36,46,309.11 24 1,51,929.546
Total 76,00,360.22 35

2. The hypothesis being tested is:

H0: µ1 = µ2 = µ3 = µ4

Ha: At least one means is not equal

The p-value is 0.0142.

Since the p-value (0.0142) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that at least one means is not equal.

3. The hypothesis being tested is:

H0: µ1 = µ2 = µ3 = µ4 --------------------- = µ11

Ha: At least one means is not equal

The p-value is 0.1686.

Since the p-value (0.1686) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that at least one means is not equal.

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