Answered: Suppose an 8 sided die is tossed 300…

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 an 8 sided die is tossed 300 times. Suppose that it is estimated that the probability of tossing a 6 is 0.21. Use this information to answer the following questions. a) What is the mean of the sampling distribution of the proportion of samples of size 300 tosses of this die? b) What is the standard deviation of the sampling distribution of the proportion of sixes samples of size 300 tosses of this die? c) How is the sampling distribution of the proportion of sixes of size 300 tosses of this die distributed? d)Find the probability that the proportion of sixes when this die is rolled 300 times is between 0.197 and 0.215.

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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