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1.Americans spend billions on veterinary care each year. According to the APPA National Pet Owners Survey, U.S. citizens spent $10.1 billion on pet care in 2007. The health care services offered to animals rival those provided to humans, with the typical surgery costing from $1700 to $3000 or more. On average, a dog owner spent an esti- mated $670 on veterinary-related expenses in that year.Assume that annual dog owner expenditure on health care is normally distributed with a mean of $670 and a standard deviation of $290.a. What is the probability that a dog owner, randomly selected from the population, spent over $1000 in health care in 2007?
2.A survey was conducted to measure the number of hours per week adults spend on home computers. In the survey, the number of hours was normally distributed, with a mean of 8 hours and a standard deviation of 1 hour. A survey participant is randomly selected. Find the probability that the hours spent on the home computer by the participant are between 5.5 and 9.5 hours per week.
3.Based on a survey conducted by Greenfield Online, 25 – 34-year-olds spend the most each week on fast food. The average weekly amount of $44 was reported in a May 2009 USA Today Snapshot. Assuming that weekly fast food expenditures are normally distributed with a standard deviation of $14.50, what is a probability that a person in this age group will spend more than $60 on fast food in a week?
Based on a survey conducted by Greenfield Online, 25 – 34-year-olds spend the most each week on fast food. The average weekly amount of $44 was reported in a May 2009 USA Today Snapshot. Assuming that weekly fast food expenditures are normally distributed with a standard deviation of $14.50, what is a probability that a person in this age group will spend between $25 and $60 on fast food in a week?
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4.The National Retail Federation reported that college freshman spend more on back-toschool items than any other college group (USA Today, August 4, 2006). Sample data comparing the back-to-school expenditures for 25 freshmen and 20 seniors are shown in the data file BackToSchool.
a. What is the mean back-to-school expenditure for each group? Are the data consistent with the National Retail Federation’s report?
b. What is the range for the expenditures in each group?
c. What is the interquartile range for the expenditures in each group?
d. What is the standard deviation for expenditures in each group?
e. Do freshmen or seniors have more variation in back-to-school expenditures?
5.The probability that an individual randomly selected from a particular population has a certain disease is .05. A diagnostic test correctly detects the presence of the disease 98% of the time and correctly detects the absence of the disease 99% of the time. If the test is applied twice, the two test results are independent, and both are positive, what is the (posterior) probability that the selected individual has the disease?
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