From the book p 423-5
2. Credit Card Debt It has been reported that the average
credit card debt for college seniors is $3262. The student senate at
a large university feels that their seniors have a debt much less
than this, so it conducts a study of 50 randomly selected seniors
and finds that the average debt is $2995, and the population
standard deviation is $1100. With a significance level of 0.05, is
the student senate correct?
4. Salaries of Ph.D. Students Full-time Ph.D. students
receive an average salary of $12,837 according to the U.S.
Department of Education. The dean of graduate studies at a large
state university feels that Ph.D. students in his state earn more
than this. He surveys 44 randomly selected students and finds their
average salary is $14,445, and the population standard deviation is
$1500. With an alpha of 0.05, is the dean correct?
16. Soft Drink Consumption A researcher claims that the
yearly consumption of soft drinks per person is 55 gallons. In a
sample of 50 randomly selected people, the mean of the yearly
consumption was 56.3 gallons. The standard deviation of the
population is 3.5 gallons. Find the P-value for the test. On the
basis of the P-value, is the researcher’s claim valid?