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II. You will be using the dataset Radish. csv, which con- tains the growth rate of radish plants two weeks after germination. The first column

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II. You will be using the dataset Radish. csv, which con- tains the growth rate of radish plants two weeks after germination. The first column is the height of the plants (in cm). The second column is the treatment group, which was either given no fertilizer (the control group, called Control) or given fertilizer (the treatment group, called Fertilized). Assume the radishes were sampled randomly and independently. (a) Find the lower bound for the 90% confidence interval for the difference between the two groups. (b) Find the upper bound for the 90% confidence inter- val for the difference between the two groups. (c) The fertilizer manufacturer claims that by using their fertilizer, plants will grow more on average than if you use no fertilizer. Does your confidence interval support this claim? (d) What is the largest difference in average growth you could expect with 90% confidence, based on your confidence interval

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