The average amount of money spent for lunch per person in the college cafeteria is $6.41 and the standarddeviation is $3. Suppose that 9 randomly selected lunch patrons are observed. Assume the distribution ofmoney spent is normal, and round all answers to 4 decimal placeswhere possible.a. What is the distribution of X? X is approximately normal with Mean= 6.41and SD= 3b. What is the distribution of x? a is approximately normal with Mean= 6.41and SD= .33c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost isbetween $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> Next Question

Sampling distribution of sample mean ( x¯ ) : If simple random sample of size n is drawn from Normal…

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

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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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.

Question

The average amount of money spent for lunch per person in the college cafeteria is $6.41 and the standard
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 Mean= 6.41
and SD= 3
b. What is the distribution of x? 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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