Hypothesis The addition of gibberellic acid will promote substantial growth in

Hypothesis the addition of gibberellic acid will

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Hypothesis The addition of gibberellic acid will promote substantial growth in pea Pisum sativum . Null Hypothesis The addition of gibberellic acid will not promote substantial growth in pea plant Pisum sativum . Dwarf Plant: Tall Plant: Dwarf Plants: Raw data, mean and calculation of SS for both treated and untreated Treatment Mean Height (cm) n d.f. Standard Deviation GA 28.38 18 17 7.65 Water 17.13 18 17 7.95 Treatment Mean Height (cm) n d.f. Standard Deviation GA 27.23 18 17 9.33 Water 21.76 18 17 7.42 Treated with GA Untreated (Water) Replicate Plant Growth (cm) (xi) xi - mean (xi - mean) 2 Plant Growth (cm) (xi) xi - mean (xi - mean) 2 1 33.40 5.02 25.20 17.00 -0.13 0.02 2 16.75 -11.63 135.26 23.75 6.62 43.82 3 22.75 -5.63 31.70 26.00 8.87 78.68 4 16.80 -11.58 134.10 7.05 -10.08 101.61 5 26.00 -2.38 5.66 11.90 -5.23 27.35 6 14.40 -13.98 195.44 8.00 -9.13 83.36 7 29.63 1.25 1.56 10.33 -6.8 46.24 8 32.15 3.77 14.21 12.00 -5.13 26.32 9 23.50 -4.88 23.81 9.30 -7.83 61.31
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Tall Plants: Raw data, mean and calculation of SS for both treated and untreated 10 30.90 2.52 6.35 30.50 13.37 178.76 11 28.50 0.12 0.01 15.90 -1.23 1.51 12 34.85 6.47 41.86 18.10 0.97 0.94 13 28.25 -0.13 0.02 13.40 -3.73 13.91 14 36.25 7.87 61.94 16.50 -0.63 0.40 15 23.05 -5.33 28.41 13.50 -3.63 13.18 16 34.65 6.27 39.31 18.00 0.87 0.76 17 38.25 9.87 97.42 20.30 3.17 10.05 18 40.70 12.32 151.78 36.80 19.67 386.91 d.f.-17 SS 1 =1024.73 SS 2 =1075.13 Treated with GA Untreated (Water) Treated with GA Untreated (Water) Replicate Plant Growth (cm) (xi) xi - mean (xi - mean) 2 Plant Growth (cm) (xi) xi - mean (xi - mean) 2 1 28.25 1.02 1.04 18.65 -3.11 9.67 2 30.50 3.27 10.69 34.25 7.02 49.28 3 43.00 15.77 248.69 28.00 0.77 0.59 4 18.65 -8.58 73.62 8.90 -18.33 335.99 5 32.25 5.02 25.20 17.45 -9.78 95.65 6 6.95 -20.28 411.28 9.25 -17.98 323.28 7 28.00 0.77 0.59 18.75 -8.48 71.91 8 28.25 1.02 1.04 19.55 -7.68 58.98 9 25.50 -1.73 2.99 19.00 -8.23 67.73 10 29.60 2.37 5.62 23.60 -3.63 13.18 11 24.00 -3.23 10.43 16.80 -10.43 108.78 12 15.70 -11.53 132.94 19.35 -7.88 62.09 13 34.00 6.77 45.83 23.15 -4.08 16.65 14 33.25 6.02 36.24 27.25 0.02 0.00 15 13.55 -13.68 187.14 18.45 -8.78 77.09 16 33.80 6.57 43.16 21.90 -5.33 28.41
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Calculation of pooled variance S 2 p (Dwarf) S 2 p = SS 1 + SS 2 / d.f. 1 + d.f. 2 = (1024.73 + 1075.13) / (17 + 17) = 2099.86 / 34 = 61.76 Calculation of t value(Dwarf) Critical t value: t p (d.f. 1 + d.f. 2 ) = t (0.05)(34) = 2.032. Calculated t value (4.29) is greater than critical t value (2.032) so P<0.05. Therefore, the null hypothesis (that the application of gibberellic acid will not promote a substantial difference in the growth rate of pea plants) is rejected. The hypothesis that gibberellic acid will promote a substantial difference in the growth rate of pea plants is supported. Calculation of pooled variance S 2 p (Tall) S 2 p = SS 1 + SS 2 / d.f. 1 + d.f. 2 = (1479.18 + 1410.95) / (17 + 17) = 2890.13 / 34 = 85.00 17 22.75 -4.48 20.07 31.50 4.27 18.23 18 42.15 14.92 222.61 35.80 8.57 73.44 d.f. = 17 SS 1 =1479.18 SS 2 =1410.95 Treated with GA Untreated (Water)
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Calculation of t value (Tall) Critical t value: t p (d.f. 1 + d.f. 2 ) = t (0.05)(34) = 2.032. Calculated t value (1.78) is less than critical t value (2.032) so P>0.05. Therefore, the null hypothesis (that the application of gibberellic acid will not promote a substantial difference in the growth rate) is supported. The hypothesis that gibberellic acid will promote a substantial difference in the growth rate is rejected. Standard Error
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