Suppose that the age of students at Maryvale High school is uniformly distributed between 14 and 18 years old. Based on your knowledge of a uniform distribution, find the mean and standard deviation of the ages. (Refer to your notes or section 5.2 in your book for formulas.) What is the probability that a randomly student selected will have an age between 16.5 and 17 years of age? 36 randomly selected students from the school are asked their age. Describe the sampling distribution of the mean age of students. What is the mean age and standard deviation of the sample means? What is the probability that the mean of 36 students will be between 16.5 and 17 years of age?

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Answered: Suppose that the age of students at…

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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Suppose that the age of students at Maryvale High school is uniformly distributed between 14 and 18 years old.

Based on your knowledge of a uniform distribution, find the mean and standard deviation of the ages. (Refer to your notes or section 5.2 in your book for formulas.)

What is the probability that a randomly student selected will have an age between 16.5 and 17 years of age?

36 randomly selected students from the school are asked their age. Describe the sampling distribution of the mean age of students. What is the mean age and standard deviation of the sample means?

What is the probability that the mean of 36 students will be between 16.5 and 17 years of age?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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