The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which isrecorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has beenfound to be 65.5 with a standard deviation of 8.5. Assume that the distribution is approximately normal.Find the probability that an elite athlete has a maximum oxygen uptake of at least 79.95 ml/kg.Find the probability that an elite athlete has a maximum oxygen uptake of at most 45.95 ml/kg.Find the probability that an elite athlete has a maximum oxygen uptake of 45.95 ml/kg.Submit Question

Let X is the mean maximum oxygen uptake which is normally distributed. Given: mean=μ=65.5standard…

Answered: The physical fitness of an athlete is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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One of the measurements used to determine the health of a person's lungs is the amount of air a person can exhale under force in one second. This is called forced expiratory volume in one second, and is abbreviated FEV,. Assume the mean FEV, for 10-year-old boys is 2.1 liters that the population standard deviation is o =0.2. A random sample of 53 10-year-old boys live in a community with high levels of ozone pollution are found to have a sample mean FEV, of 2.09 liters. Can you conclude that the mean FEV, in the high-pollution community differs from 2.1 liters? (A) Yes (B) No
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.
A biologist is attempting to determine the mean weight of African elephants. She conducts a sample of 60 elephants, and finds a sample mean of 8954 lbs., with a standard deviation of 127 lbs. Assume that the distribution of weights of African elephants is nearly normal.Define your variable: Let μμ be the mean weight of all African elephants, in lbs.. Let μμ be the mean weight of the sampled African elephants, in lbs.. Let p be the proportion of elephants that weigh . Let p be the proprotion of elephants in the sample. Create and interpret a 95% Confidence Interval. Round your answers to one decimal place. and lbs.What is the margin of error? Round your answer to one decimal place. lbs.Another biologist believes that the mean weight of elephants is 89898989. What do you think of this claim? That claim is not in our interval. We do not believe it. The claim is above the sample mean, so there is no way it can be true. The claim is inside the interval. It is reasonable. The…
The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean µ = 125 and standard deviation σ = 14. Systolic blood pressure for males follows a normal distribution. a. Calculate the z-scores for the male systolic blood pressures 102 and 149 millimeters. Round your answers to 2 decimal places. z-score for 102 millimeters: z-score for 149 millimeters: Find the probability that a randomly selected male has a systolic blood pressure between 102 and 149. Round your answer to 4 decimal places.
A study reported that the mean concentration of ammonium in water wells in the state of Iowa was 0.71 milligram per liter, and the standard deviation was 1.09 milligrams per liter. Is it possible to determine whether these concentrations are approximately normally distributed. If so, say whether they are normally distributed, and explain how you know. If not, describe the additional information you would need to determine whether they are normally distributed.
A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally distributed. At a = 0.05, can you conclude that the new cereal lowers total blood cholesterol levels? Patient Total Blood Cholesterol (Before) Total Blood Cholesterol (After) OA. Ho Hd #0 HA Hd=0 OC. Ho Hd ≤0 HA Hd >0 Calculate the standardized test statistic t= (Round to three decimal places as needed.) Calculate the P-value P-value= (Round to four decimal places as needed) State the conclusion. 1 205 204 Ho. There C 2 225 222 Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereal be…
Ms. Gonzalez has recorded the test scores for each of her 25 students, She has calculated EX? = 320 and (EX) = 5,000, Calculate the estimated population standard deviation for her data. 1.98 2.24 O 5.00 O 3.95
A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1025 h with a standard deviation of 83 h.Find the z-scores for lightbulbs which last 850 and 900 h. (Round your answers to two decimal places.) 850 h: z = 900 h: z =
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 46 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 ? = 7.80 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 limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is largethe distribution of weights is normalthe distribution of weights is uniform? is…
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