Answered: The weights of all the turkeys sold in…

PREALGEBRA

15th Edition

ISBN:9781938168994

Author:OpenStax

Publisher:OpenStax

Chapter5: Decimals

Section5.5: Averages And Probability

Problem 400E: The cash register receipts each day last week at a coffee shop were $1,845. $1,520. $1,438, $1,682,...

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Question

The weights of all the turkeys sold in Fairfax County in 2020 were recorded in the data set “Fairfax Turkey Weights” found in StatCrunch. The weights are presented in pounds. There are 235,428 turkeys in this population.

-Calculate the probability that a randomly selected turkey weighs between 17 and 20 pounds using the Normal distribution and the rounded mean and standard deviation

-Calculate the probability that, in a random sample of eight turkeys, the mean weight is between 17 and 20 pounds. First, draw a picture with the rounded mean and values labeled and the shaded area representing the desired probability. Then, complete this part by standardizing and using the Standard Normal Table to obtain this probability.

-Construct a 95% confidence interval

Summary statistics:
Column
Mean
Std. dev.
Weight
16.819412 2.2527996

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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