The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters perkilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 80 with a standard deviation of 8.1. Assume that thedistribution is approximately normal.(a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 75 ml/kg?answer.(b) What is the probability that an elite athlete has a maximum oxygen uptake of 50 ml/kg or lower?answer%3D(c) Consider someone with a maximum oxygen uptake of 40 ml/kg. Is it likely that this person is an elite athlete? Write "YES" or "NO."answer.Calculate your z-scores to at least 3 decimal places when finding the probability, to insure that rounding is not an issue.

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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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Z is distributed as a standard normal variable. Find the value of a such that Pr (Z < a) = 0.828
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Over the past several months, an adult patient has been treated for tetany (svere muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient's total calcium tests gave the following readings (in mg/dl). Assume that the population of x values has an approximately normal distribution. X = 9.8 S = 8.9 10.4 9.2 9.2 9.9 10.7 10.2 11.6 11.5 (a) Find the sample mean reading x and the sample standard deviation s. (Round your answers to four decimal places.) mg/dl mg/dl USE SALT (b) Find a 99.8% confidence interval for the population mean of total calcium in this patient's blood. (Round your answer to two decimal places.) lower limit upper limit mg/dl mg/dl (c) Based on your results in part (b), do you think this patient still has a calcium deficiency? Explain. O Yes. This confidence interval suggests that the patient may still have a calcium deficiency. O Yes. This confidence interval suggests that the patient no longer has a calcium…
Over the past several months an adult patient has been treated for tetany. This condition is associated with an average total calcium level below 6 mg/dL. Recently, the patients total calcium tests have the following readings (in md/dl). Assume that the population of x values has an approximately normal distribution. 9.1 8.8 10.5 9.5 9.4 9.8 10.0 9.9 11.2 12.1 a: use a calculator with mean and standard deviation keys to find the sample mean reading x and the sample standard deviation s. Round to two decimal places. b: find a 99.9% confidence interval for the population mean of the total calcium in the patients blood. Round your answers to two decimal places lower limit upper limit
Given a normal distribution with u = 30 and o = 6, find the normal curve area to the left of x = 22. %3D Express your answer in four decimal places.
Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To determine the amount of bacteria in a room, researchers pumped the air from the room over a Petri dish at the rate of 1 cubic foot per minute for eight carpeted rooms and eight uncarpeted rooms. Colonies of bacteria were allowed to form in the 16 Petri dishes. The results are given in the table below. Assume the distribution to be approximately normal. Do carpeted rooms have more bacteria than uncarpeted rooms? Carpeted Rooms Uncarpeted Rooms 11.7 12.0 8.2 8.3 7.1 3.8 13.1 7.3 10.6 12.0 10.1 11.1 14.8 10.3 14.0 13.7 What is the critical value(s) for this hypothesis test if group 1 is the carpeted rooms and group 2 is the uncarpeted rooms. 1.895 2.306 2.365 1.833 1.860
Z is distributed as a standard normal variable. Find the value of a such that Pr (Z < a) = 0.424. Round your answer to three decimal places, e.g. 2.104.
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Question 2 For a normal variable X~ N(μ = 83.6, o = 13.4), find the probability P(X> 63.8) : P(X> 63.8) (Round the answer to 4 decimal places) =

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