The average amount of money spent for lunch per person in the college cafeteria is $7.08 and the standard deviation is $2.29. Suppose that 45 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.
What is the distribution of
X? X~ N( , )
What is the distribution of
X? X ~ N( , )
For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.9379 and $7.2186.
For the group of 45 patrons, find the probability that the average lunch cost is between $6.9379 and $7.2186.
For part d), is the assumption that the distribution is normal necessary? Yes or No
