(Solved): The average amount of money spent for lunch per person in the college cafeteria is $12.64 and the s ...

The average amount of money spent for lunch per person in the college cafeteria is $12.64 and the standard deviation is $2.42. Suppose that 10 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. Check off the following that are true. At least one must be true. On > 30 OX normally distributed Complete the following table for the distribution of X and X. Round the standard deviation of X (standard error of the mean) to four decimal places as needed. X X Sample stre X-V Standard deviation Distribution Mean a. Complete the following concerning the distribution of X P(13.25 < X < 14.08)= If a single (1) randomly selected individual is observed, find the probability that this person spends between $13.25 and $14.08. Select an 78 P(13.25 < X<1408) 0.33 111 Select an anewer 10.22 12.64 1 15.06 17.48 X Round your answer to four decimal places b. Complete the following concerning the distribution of X X-M Suppose that 10 randomly selected lunch patrons are observed, find the probability that the average amount of money spent on tunch is between $13.25 and $14.08. 11. 12.64 13.41 13.25 X 19.3 a Round your answer to four decimal places 14.18 149 14.08 1