What would be the minimum sample needed


You have been studying the effects of different fertilizers on the growth of certain produce. In the latest instalment of your experiment, you are testing Quebec's own "Gro-Haut" fertilizer and its effects on carrots. From the sample of carrots that you have measured, you calculate an average length of 24 cm with a standard deviation of 4. Please construct a confidence interval for the mean length of the carrots using 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 of carrots using Gro-Haut to within 1.5 cm with 99% confidence?

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