To determine the smallest sample size for achieving a margin of error of 4 grams at a 95% confidence level, we used the formula relating sample size, margin of error, and standard deviation, taking into account the z-value for 95% confidence. The smallest sample size required is approximately 36 apples.
Javon wants to estimate the mean weight of apples in his orchard. He’ll sample n apples and make a 95% confidence interval for the mean weight, so
z=1.96 He is willing to use a standard deviation of 12 grams as an estimate, and he wants the margin of error to be no more than 4 grams. What is the smallest approximate sample size required to obtain the desired margin of error?
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