1. Suppose a random sample of size 200 is taken. from a population with a mean of 510 kg and standard deviation of 15 kg. (a) find the mean and the variance of the sample mean. (b) if it is required to reduce the standard deviation error of the mean to less than 0.5 kg what is the minimum sample size?

MATLAB: An Introduction with Applications
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Topic: Central Limit Theorem 1. Suppose a random sample of size 200 is taken. from a population with a mean of 510 kg and standard deviation of 15 kg. (a) find the mean and the variance of the sample mean. (b) if it is required to reduce the standard deviation error of the mean to less than 0.5 kg what is the minimum sample size? 2. Suppose a random sample of size 16 is taken from a normal population X with mean 51 and standard deviation 4. (b) Find the probability that the sample mean is greater than 52 (a) Find the sampling distribution of the sample mean (c) Find the probability that the sample mean lies between 49.5 and 51.5
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