# Question: According to the June 2004 Readers Digest article Only in

According to the June 2004 Readers’ Digest article “Only in America,” the average amount that a 17-yearold spends on his or her high school prom is $638. Assume that the amounts spent are normally distributed with a standard deviation of $175.

a. Find the probability that the mean cost to attend a high school prom for 36 randomly selected 17-year-olds is between $550 and $700.

b. Find the probability that the mean cost to attend a high school prom for 36 randomly selected 17-yearolds is greater than $750.

c. Do you think the assumption of normality is reasonable? Explain.

a. Find the probability that the mean cost to attend a high school prom for 36 randomly selected 17-year-olds is between $550 and $700.

b. Find the probability that the mean cost to attend a high school prom for 36 randomly selected 17-yearolds is greater than $750.

c. Do you think the assumption of normality is reasonable? Explain.

## Answer to relevant Questions

The Bureau of Labor Statistics provides compensation information on and services for various positions.As of May 2008, the national average salary for an RN (registered nurse) was $65,130. Suppose the standard deviation is ...If a population has a standard deviation of 18.2 units, what is the standard error of the mean if samples of size 9 are selected? Samples of size 25? Samples of size 49? Samples of size 100? The statistics-conscious store manager at Marketview records the number of customers who walk through the door each day. Years of records show the mean number of customers per day to be 586 with a standard deviation of 165. ...The baggage weights for passengers using a particular airline are normally distributed with a mean of 20 lb and a standard deviation of 4 lb. If the limit on total luggage weight is 2125 lb, what is the probability that the ...Using a set of five dice, roll the dice and determine the mean number of dots showing on the five dice. Repeat the experiment until you have 25 sample means. a. Draw a dotplot showing the distribution of the 25 sample ...Post your question