An experiment was performed with seven hop plants. One half of each was pollinated and the other was not pollinated. The yield of the seed of each hop plant is tabulated as follows. Plant number 1 2 3 4 5 6 7 pollinated 0.78 0.76 0.43 0.92 0.86 0.59 0.68 Non-pollinated 0.21 0.12 0.32 0.29 0.30 0.20 0.14 a: Determine at the 5 per cent level whether the pollinated half of the plant gives a higher yield in seed than the non-pollinated half by 5 percent. State the assumptions and hypotheses to be tasted and carry through the computations to make decision. Justify the method you applied. b: Compute 90%confidence limits for the difference plants in mean yields. How would your explanation change if 99% confidence interval used instead?
Q.No.2. An experiment was performed with seven hop plants. One half of each was pollinated and the other was not pollinated. The yield of the seed of each hop plant is tabulated as follows.
Plant number
1
2
3
4
5
6
7
pollinated
0.78
0.76
0.43
0.92
0.86
0.59
0.68
Non-pollinated
0.21
0.12
0.32
0.29
0.30
0.20
0.14
a: Determine at the 5 per cent level whether the pollinated half of the plant gives a higher yield in seed than the non-pollinated half by 5 percent. State the assumptions and hypotheses to be tasted and carry through the computations to make decision. Justify the method you applied.
b: Compute 90%confidence limits for the difference plants in
c: Use confidence limits to support the result obtained in part a.
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