8. The head gardener at Irvine Spectrum Centre wants to know if a new fertiliser is...
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8. The head gardener at Irvine Spectrum Centre wants to know if a new fertiliser is having a significant effect on the growth rate of the plants that are around the shopping centre. They decide to test the new fertiliser on 98 plants that they randomly choose around the shopping centre. Half of the plants, randomly selected, are given the new fertiliser and the remaining half of the plants are given the old fertiliser. The head gardener then measures the growth rate for the 2 samples of plants. All following numbers were computed from the sample: The average growth rate for the plants with the new fertiliser was 2.3 inch a month, (SD 0.06) while the average growth rate for the trees with the old fertiliser was 1.96 inches per month (SD 0.1). (a) Construct a 95% confidence interval for the difference in the average monthly growth rate of the plants with the new fertiliser vs the plants with the old fertiliser. (Let XN be observations from the new fertiliser group and Xo be observations from the plants with the older fertiliser. ) (b) Interpret your interval calculated above, in the context of this question. File Preview 9. The next year there is a new head gardener who decides to run the same experiment but over 2 different years, differently from B. Let's assume that these 2 years have remarkably similar weather so the plants will behave the same each time except for the effects of the fertiliser. The gardener compares the growth rate of each individual plant between the 2 gardening seasons. The average difference in monthly growth rate (inches) for the plants is 1.55 with a standard deviation of 0.093. They choose only 49 plants for this experiment. (a) Construct a 95% confidence interval for the difference between the average growth rate of the plants between the 2 gardening seasons. File Preview (b) Which of the two 95% intervals (the one from question Ba or from this question part a) is narrower? Why is it so? (c) Which of the two 95% intervals (the one from question Ba or from this question part a) is more convincing in making a point that the head gardener should start using the newer fertiliser, if there is a difference? 8. The head gardener at Irvine Spectrum Centre wants to know if a new fertiliser is having a significant effect on the growth rate of the plants that are around the shopping centre. They decide to test the new fertiliser on 98 plants that they randomly choose around the shopping centre. Half of the plants, randomly selected, are given the new fertiliser and the remaining half of the plants are given the old fertiliser. The head gardener then measures the growth rate for the 2 samples of plants. All following numbers were computed from the sample: The average growth rate for the plants with the new fertiliser was 2.3 inch a month, (SD 0.06) while the average growth rate for the trees with the old fertiliser was 1.96 inches per month (SD 0.1). (a) Construct a 95% confidence interval for the difference in the average monthly growth rate of the plants with the new fertiliser vs the plants with the old fertiliser. (Let XN be observations from the new fertiliser group and Xo be observations from the plants with the older fertiliser. ) (b) Interpret your interval calculated above, in the context of this question. File Preview 9. The next year there is a new head gardener who decides to run the same experiment but over 2 different years, differently from B. Let's assume that these 2 years have remarkably similar weather so the plants will behave the same each time except for the effects of the fertiliser. The gardener compares the growth rate of each individual plant between the 2 gardening seasons. The average difference in monthly growth rate (inches) for the plants is 1.55 with a standard deviation of 0.093. They choose only 49 plants for this experiment. (a) Construct a 95% confidence interval for the difference between the average growth rate of the plants between the 2 gardening seasons. File Preview (b) Which of the two 95% intervals (the one from question Ba or from this question part a) is narrower? Why is it so? (c) Which of the two 95% intervals (the one from question Ba or from this question part a) is more convincing in making a point that the head gardener should start using the newer fertiliser, if there is a difference?
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8 a b We can be 95 sure that the population average differ... View the full answer
Related Book For
Business Statistics
ISBN: 9780321925831
3rd Edition
Authors: Norean Sharpe, Richard Veaux, Paul Velleman
Posted Date:
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