"The central limit theorem states that if X1, X2, X, are independent and identically .... distributed random variables, each having mean u and variance o?, then the distribution of X; tends to a normal distribution with mean u and variance o?." The statement above is erroneous. Point out the incorrect parts and ex plain why they are incorrect. It is known that the mean weight u of packages of a certain brand of supplement pills is 5.02 grams. Find the probability that a random sample of 100 such packages will have a mean weight between 4.96 and 5.00 grams. Assume that the standard deviation o is 0.30 grams. Leave your answer in 4 decimal places.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.