A population of plastic chairs in a factory has a weight's mean of 1.5 kg and a standard deviation of 0.1 kg . Suppose a sample of size 100 is selected and X is used to estimate u . What is the probability that the sample mean will be within +0.02 of the population mean ? ( 5 points ) B ) At 95 % confidence , how large a sample should be taken to obtain a margin of error of 0.02 for the estimation of a population proportion ? Assume that past data are not available for developing a planning value for p