2. A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the United States will
pay an average of $247 per day for food and lodging with a standard deviation
of $60 per day. Assuming the data are normally distributed, find, to the
nearest hundredth, the z-scores for each of the following vacation expense
amounts.
a. $197 per day.
b. $277 per day
c. $310 per day
3. If a family from the data set in question 2 had a z-score of 1.5, what was their
daily expense for food and lodging?
4. Use the data from question 2. If the data are normally distributed, find the
percentage of families who spent:
a. Less than $167 per day.
b. Less than $367 per day.
c. More than $247 per day.
d. More than $350 per day.
e. Less than $67 per day.
f. Between $200 and $300 per day.
g. Between $360 and $400 per day.
h. More than the median.
i. Less than the mean.
5. Using the data from question 2, you can compute the mean food and lodging
cost of a 10-day vacation by multiplying the per-day mean by 10. The
standard deviation for the 10-day vacation can be found by multiplying by
10 also.
a. What is the mean for food and lodging for a 10-day vacation?
b. What is the standard deviation of the distribution for the 10-day
vacation?
c. What is the variance of the distribution for the 10-day vacation?