III. SAMPLING AND SAMPLING DISTRIBUTIONSAssume that the systolic blood pressure of 30-year-oldmales is normally distributed, with an average of 122mmHg and a standard deviation of 10 mmHg.а.b. Calculate the probability that the blood pressure of anindividual male from this population will be between 118and 124 mmHg.

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Answered: II. SAMPLING AND SAMPLING DISTRIBUTIONS…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A population of scores has µ=44. In this population, a score of X= 40 corresponds to z= - 0. 50. What is the population standard deviation?
Nick has collected data to find that the body weights of the forty students in a class has a normal distribution. What is the probability that a randomly selected student has a body weight of greater than 169 pounds if the mean is 142 pounds and the standard deviation is 9 pounds? Use the empirical rule. Provide the final answer as a percent rounded to two decimal places.
A verticle line is drawn through a normal distribution at z=.80. What proportion of the distribution is on the right-hand side of the line?
Sketch the normal distribution with a. μ = −2 and σ = 2. b. μ = −2 and σ = 1/2. c. μ = 0 and σ = 2.
A study of a population showed that males' body temperatures are approximately Normally distributed with a mean of 98.4°F and a population standard deviation of 0.40°F. What body temperature does a male have if he is at the 95th percentile? Draw a well-labeled sketch to support your answer.
In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 74 and a standard deviation of 8. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D. The lowest score that would qualify a student for an A is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a B is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a C is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a D is nothing. (Round up to the nearest integer as needed.)
The weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. From the data, we can conclude that the number of men weighing more than 165 pounds is about , and the number of men weighing less than 135 pounds is about .
For bone density scores that are nomally distributed with a mean of 0 and a standard deviation of 1, find the percentage of scores that are a. significantly high (or at least 2 standard deviations above the mean). b. significantly low (or at least 2 standard deviations below the mean). c. not significant (or less than 2 standard deviations away from the mean). a. The percentage of bone density scores that are significantly high is %. (Round to two decimal places as needed.) b. The percentage of bone density scores that are significantly low is %. (Round to two decimal places as needed.) c. The percentage of bone density scores that are not significant is (Round to two decimal places as needed.) %.
For a population that has a standard deviation of 22, figure the standard deviation of the distribution of means for samples of size (a)2, (b)4, (c)5 and (d)10.
Sketch the normal distribution with a. µ = -2 and σ = 2.b. µ = -2 and σ = 1/2.c. µ = 0 and σ = 2.
For a population with mean of 50 and standard deviation of 8, what is the z- score that corresponds to X=44? а. -2 b. 1.5 С. 1 d. -0.5 e. -0.75
Chebyshev's Theorem states that for any distribution of numerical data, at least 1-1/k? of the numbers lie within The percent of numbers between 88 and 112 is at least %. k standard deviations of the mean. (Round to the nearest hundredth as needed.) In a certain distribution of numbers, the mean is 100, with a standard deviation of 6. Use Chebyshev's Theorem to tell what percent of the numbers are between 88 and 112.

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