The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 4 ounces. 7 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. What is the distribution of X? X ~ N( __?__ , __?__)   2.What is the distribution of ¯x ? ¯x ~ N(__?__,__?__) 3. What is the probability that one randomly selected person drinks between 15.5 and 18.5 ounces of coffee per day?  __?__   4. For the 7 people, find the probability that the average coffee consumption is between 15.5 and 18.5 ounces of coffee per day. __?__   5. For part d), is the assumption that the distribution is normal necessary? Yes or No   Find the IQR for the average of 7 coffee drinkers. Q1 = __?__ ounces Q3 = __?__ ounces IQR: __?__ ounces

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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.