8. [-/0.3 Points] DETAILS BBUNDERSTAT12 7.1.017.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that . = 8.00 ml/kg for 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 (b) What conditions are necessary for your calculations? (Select all that apply.) mo is known the distribution of volumes is normal the distribution of volumes is uniform n is large no is unknown (c) Interpret your results in the context of this problem. We are 99% confident that the true average blood plasma volume in male firefighters falls within this interval. The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99. The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01. We are 1% confident that the true average blood plasma volume in male firefighters falls within this interval. (d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.60 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) male firefighters Need Help? Read it Watch k Master It 9. [-/0.3 Points] DETAILS BBUNDERSTAT12 7.1.018.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER What price do farmers get for their watermelon crops? In the third week of July, a random sample of 44 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that . is known to be $1.96 per 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.) lower limit upper limit margin of error (b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.37 for 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 Need Help? Read it Master It
