Harvested apples from a farm in Eastern Washington are packed into boxes for shipping out to retailers. The apple shipping boxes are set to pack 44 pounds of apples. The actual weights of apples loaded into each box vary with mean �=44 lbs and standard deviation �=2 lbs.A) Is a sample of size 30 or more required in this problem to obtain a normally distributed sampling distribution of mean loading weights?NoYesCorrectB) What is the probability that 31 boxes chosen at random will have mean weight less than 43.2 lbs of apples? (Round ��¯ to two decimal places and your answer to four decimal places.) Harvested apples from a farm in Eastern Washington are packed into boxes for shipping out to retailers. Theapple shipping boxes are set to pack 44 pounds of apples. The actual weights of apples loaded into each boxvary with mean μ = 44 lbs and standard deviation σ = 2 lbs.A) Is a sample of size 30 or more required in this problem to obtain a normally distributed samplingdistribution of mean loading weights?NoYesB) What is the probability that 31 boxes chosen at random will have mean weight less than 43.2 lbs ofapples? (Round σ to two decimal places and your answer to four decimal places.)

Given, actual mean μ = 44 Standard deviation σ=2

Answered: Harvested apples from a farm in Eastern…

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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Question

Harvested apples from a farm in Eastern Washington are packed into boxes for shipping out to retailers. The apple shipping boxes are set to pack 44 pounds of apples. The actual weights of apples loaded into each box vary with mean �=44 lbs and standard deviation �=2 lbs.

A) Is a sample of size 30 or more required in this problem to obtain a normally distributed sampling distribution of mean loading weights?

Correct

B) What is the probability that 31 boxes chosen at random will have mean weight less than 43.2 lbs of apples? (Round ��¯ to two decimal places and your answer to four decimal places.)

Harvested apples from a farm in Eastern Washington are packed into boxes for shipping out to retailers. The
apple shipping boxes are set to pack 44 pounds of apples. The actual weights of apples loaded into each box
vary with mean μ = 44 lbs and standard deviation σ = 2 lbs.
A) Is a sample of size 30 or more required in this problem to obtain a normally distributed sampling
distribution of mean loading weights?
No
Yes
B) What is the probability that 31 boxes chosen at random will have mean weight less than 43.2 lbs of
apples? (Round σ to two decimal places and your answer to four decimal places.)

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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