a.) The probability that the sample mean weight of this sample of 20 is greater than 9.75 is _____?b.) The probability that the sample mean weight of this sample of 20 is between 9.75 and 9.89 is ____?c.) There is only a 5% chance that the average weight of a sample of these 20 cheese wedges will be below _____(answer the blanks) The distribution of actual weights of wedges of cheddar cheese produced at a dairy is normal with a mean of 9.8 ounces and a standard deviation of 0.16 ounces. (Round to 2 decimalplaces for all z-values and round all other answers to 4 decimal places, if needed.)

Answer:- Given, mean, µ= 9.8 Standard deviation, σ= 0.16 Let , X = Actual weights of wedges of…

Answered: The probability that the sample mean…

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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a.) The probability that the sample mean weight of this sample of 20 is greater than 9.75 is _____?

b.) The probability that the sample mean weight of this sample of 20 is between 9.75 and 9.89 is ____?

c.) There is only a 5% chance that the average weight of a sample of these 20 cheese wedges will be below _____

(answer the blanks)

The distribution of actual weights of wedges of cheddar cheese produced at a dairy is normal with a mean of 9.8 ounces and a standard deviation of 0.16 ounces. (Round to 2 decimal
places for all z-values and round all other answers to 4 decimal places, if 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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