You have been studying the effects of different fertilizers on the growth of certain produce. In the latestinstalment of your experiment, you are testing Quebec’s own “Gro‐Haut” fertilizer and its effects oncarrots. From the sample of carrots that you have measured, you calculate an average length of 24 cmwith a standard deviation of 4. Please construct a confidence interval for the mean length of the carrotsusing Gro‐Haut in the following circumstances:a) Sample size = 35, confidence level = 98%.b) Sample size = 15, confidence level = 90%.c) What would be the minimum sample needed to estimate the population mean of the length ofcarrots using Gro‐Haut to within 1.5 cm with 99% confidence?

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