Problem 1: Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of45male firefighters are tested and that they have a plasma volume sample mean ofx= 37.5 ml/kg(milliliters plasma per kilogram body weight). Assume that=7.30ml/kgfor the distribution of blood plasma.

Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.)

lower limit?

upper limit ?

margin of error ?

Find the sample size necessary for a 99% confidence level with maximal margin of errorE=2.80for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)

? male firefighters

Problem 2.

Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of42male firefighters are tested and that they have a plasma volume sample mean ofx= 37.5 ml/kg(milliliters plasma per kilogram body weight). Assume that=7.00ml/kgfor the distribution of blood plasma.

A) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.)

lower limit ?

upper limit ?

margin of error ?

C)Find the sample size necessary for a 99% confidence level with maximal margin of errorE=2.80for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)

? male firefighters

Problem 3:What price do farmers get for their watermelon crops? In the third week of July, a random sample of45farming regions gave a sample mean ofx= $6.88per 100 pounds of watermelon. Assume thatis known to be$1.98per 100 pounds.

(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop. What is the margin of error? (Round your answers to two decimal places.)l

lower limit$

upper limit$

margin of error$

(b) Find the sample size necessary for a 90% confidence level with maximal error of estimateE=0.41for the mean price per 100 pounds of watermelon. (Round up to the nearest whole number.)

farming regions

(c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop. What is the margin of error?Hint:1 ton is 2000 pounds. (Round your answers to two decimal places.)

lower limit$

upper limit$

margin of error$