A random sample of size n = 44 is taken from a population with mean μ = −8.4 and standard deviation σ = 4. [You may find it useful to reference the z table.]   a. Calculate the expected value and the standard error for the sampling distribution of the sample mean. (Negative values should be indicated by a minus sign. Round "expected value" to 1 decimal place and "standard error" to 4 decimal places.)         b. What is the probability that the sample mean is less than −8? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)         c. What is the probability that the sample mean falls between −8 and −7? (Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to 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.