A population of values has a distribution with μ=55.4μ=55.4 and σ=46.6σ=46.6. You intend to draw a random sample of size n=36n=36. According to the Central Limit Theorem: What is the mean of the distribution of sample means? μ¯x= What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x= In a random sample of n=36, what is the probability that its sample mean is more than 54.2? Round to three decimal places. In a random sample of n=36, what is the probability that its sample mean is less than 67.8? Give your answer to three 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.