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Description: a manufacturer of choclate candies use machines to pack candies as they move along a filling line. although the packages are labelled as 8 ounces the company wants the packages to contain 8.17 ounces so that virtually none of pakages contain less tha

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 manufacturer of choclate candies use machines to pack candies as they move along a filling line. although the packages are labelled as 8 ounces the company wants the packages to contain 8.17 ounces so that virtually none of pakages contain less than 8 ounces. a sample of 60 ounces is a selected periodically and the packaging process is stoped if there is evidence that mean amount paking is different from 8.17 ounces suppose that in a particular sample of 50 pakages the mean amount dispensed is 8.159 ounces with a sample standard deviation of 0.051 ounces. is there evidence population mean amount is different from 8.17 ounces.( use a significance level of 0.05 ) . determine p value and interpret its meaning according to dr puspendra classes statistics

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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