Answered: The weights of a certain brand of…

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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The weight of a certain brand of candies are normally distributed with a mean weight of 0.8544 g and a standard deviation of 0.0512 g. A sample of these candies came from the package contains 152 candies, and a package of the state of decay net weight is 385.7 g. (If every package has 452 candies, The main way to the candies must exceed 385.7/452 =0.8533 g for the net contents to weigh at least 385.7 g.)

$**Description of Candy Weight Distribution Problem** The weights of a certain brand of candies are normally distributed with a mean weight of 0.8544 g and a standard deviation of 0.0512 g. A sample of these candies comes from a package containing 452 candies, and the package label stated that the net weight is 385.7 g. (If every package has 452 candies, the mean weight of the candies must exceed $ \frac{385.7}{452} = 0.8533 $ g for the net contents to weigh at least 385.7 g.) a. **Problem Statement:** If 1 candy is randomly selected, find the probability that it weighs more than 0.8533 g. - **Solution Requirement:** The probability is \[ \_\_\_\_\_ \] (Round to four decimal places as needed.)$

Transcribed Image Text:**Description of Candy Weight Distribution Problem** The weights of a certain brand of candies are normally distributed with a mean weight of 0.8544 g and a standard deviation of 0.0512 g. A sample of these candies comes from a package containing 452 candies, and the package label stated that the net weight is 385.7 g. (If every package has 452 candies, the mean weight of the candies must exceed $ \frac{385.7}{452} = 0.8533 $ g for the net contents to weigh at least 385.7 g.) a. **Problem Statement:** If 1 candy is randomly selected, find the probability that it weighs more than 0.8533 g. - **Solution Requirement:** The probability is \[ \_\_\_\_\_ \] (Round to four decimal places as needed.)

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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