The amount of syrup that people put on their pancakes is normally distributed with mean 62 mL and standard deviation 11 mL. Suppose that 47 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) If a single randomly selected individual is observed, find the probability that this person consumes is between 62.6 mL and 63.5 mL.

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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.