The length of a movie file that is available for streaming is modeled using the normal distribution shown below. The mean of the distribution is 190.3 min and the standard deviation is 19.8 min. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W Percentage of total area shaded: (Choose one) 120 140 160 180 200 220 240 260 ( min)

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 ? = 7.20 ml/kg for the distribution of blood plasma.

Let X be the resting heart rate of a physically fit man. Assume that the resting heart rate for fit men follows a normal distribution with a mean of 60 and a standard deviation of 10. Let X bar be the sample mean resting heart rate for a randomly chosen sample of 35 fit men. what value is the 95th percentile of all sample me and resting heart rates?

The amount of weight on an ACME tractor trailer is known to have a normal distribution with mean 9.5 tons and standard deviation 0.5 tons. Calculate the 90th percentile for this distribution.

The ages of people living in a retirement community are normally distributed with a mean age of 68 years and a standandard deviation of 4 years. Use the Empirical Rule to find the percentage of people in the community whose ages are less than 60. Give your answer with one decimal place.

The length in feet of a structural I-beam is normally distributed with a mean of 6 ft and a standard deviation of 1 inch. Quality control requirements demand a beam to be rejected if the length of the beam is more than 1 inch different from the mean. What percentage of the I-beams will be rejected?

Two tools commonly used to test how close the dispersion of data matches the distribution shape of a normal curve are:

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 44 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 ? = 7.50 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) zc =  (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

The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30. Find the score that is 2 1/2 standard deviations above the mean.

Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation 12. if someone has a diastolic pressure of 100 what percentile is he/she in.