The U.S. Department of Agriculture reports that the mean American consumption of carbonated beverages per year is greater than 52 gallons. A random sample of 30 Americans yielded a sample mean of 69 gallons. Assume that the population standard deviation is 20 gallons. Let the confidence level be 95%.
a. What is the point estimate of the population mean?
b. What is the value of the standard error of the mean?
c. What is the value of the confidence coefficient for a confidence interval with the indicated confidence level?
d. What is the value of the margin of error for a confidence interval with the indicated confidence level?
e. What is the confidence interval with the indicated confidence level for the population mean?