Let X and Y be independent normal random variables such that the mean and variance of X are 2 and 4, respectively, while the mean and variance of Y are 6 and k, respectively. A sample of size 4 is taken from the X-distribution and a sample of size 9 is taken from the Y -distribution. If P [Y̅ − X̅) >8] = 0.0228, then what is the value of the constant k?

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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.