The average amount of money spent for lunch per person in the college cafeteria is $6.41 and the standarc deviation is $3. Suppose that 9 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. a. What is the distribution of X? X is approximately normal with Mean3 6.41 and SD= 3 b. What is the distribution of ? a is approximately normal with Mean= 6.41 and SD= .33 c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.38 and $6.71. d. For the group of 9 patrons, find the probability that the average lunch cost is between $5.38 and $6.71. e. For part d), is the assumption that the distribution is normal necessary? O YesO No

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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.