A food company sells salmon to various customers. The mean weight of the salmon is 45 lb with a standard deviation of 2 Ibs. The company ships them torestaurants in boxes of 4 salmon, to grocery stores in cartons of 36 salmon, and to discount outlet stores in pallets of 81 salmon. To forecast costs, the shippingdepartment needs to estimate the standard deviation of the mean weight of the salmon in each type of shipment. Complete parts (a) and (b) below.a) Find the standard deviations of the mean weight of the salmon in each type of shipment.Find the standard deviation of the mean weight of the salmon in the boxes sold to restaurants.SD (ỹ) =D(Round to two decimal places as needed.)Find the standard deviation of the mean weight of the salmon in the cartons sold to grocery stores.SD () =D(Round to two decimal places as needed.)Find the standard deviation of the mean weight of the salmon in the pallets sold to outlet stores.SD () = D%3D(Round to two decimal places as needed.)b) The distribution of the salmon weights turns out to be skewed to the high end. Would the distribution of shipping weights be better characterized by a Normalmodel for the boxes or pallets? Explain. Choose the correct answer below.O A. The pallets, because, as long as the underlying distribution is Normal, the sampling distribution of the mean approaches the Normal model as the samplesize increases.O B. The pallets, because, regardless of the underlying distribution, the sampling distribution of the mean approaches the Normal model as the sample sizeincreases.O C. The boxes, because, regardless of the underlying distribution, the sampling distribution of the mean approaches the Normal model as the sample sizeincreases.O D. The boxes, because, as long as the underlying distribution is Normal, the sampling distribution of the mean approaches the Normal model as the samplesize increases.

Name: A food company sells salmon to various customers. The mean weight of
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Description: A food company sells salmon to various customers. The mean weight of the salmon is 45 lb with a standard deviation of 2 Ibs. The company ships them torestaurants in boxes of 4 salmon, to grocery stores in cartons of 36 salmon, and to discount outlet

Given: Mean weight of salmon= 45 lbs Standard deviation of salmon = 2 lbs Restaurants = 4 salmons…

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a) Find the standard deviations of the mean weight of the salmon in each type of shipment. Find the standard deviation of the mean weight of the salmon in the boxes sold to restaurants. SD (ÿ) = D (Round to two decimal places as needed.) Find the standard deviation of the mean weight of the salmon in the cartons sold to grocery stores. SD (ỹ) =O (Round to two decimal places as needed.) Find the standard deviation of the mean weight of the salmon in the pallets sold to outlet stores. SD () =D (Round to two decimal places as needed.) b) The distribution of the salmon weights turns out to be skewed to the high end. Would the distribution of shipping weights be better characterized by a Normal model for the boxes or pallets? Explain. Choose the correct answer below.

a) Find the standard deviations of the mean weight of the salmon in each type of shipment. Find the standard deviation of the mean weight of the salmon in the boxes sold to restaurants. SD (ÿ) = D (Round to two decimal places as needed.) Find the standard deviation of the mean weight of the salmon in the cartons sold to grocery stores. SD (ỹ) =O (Round to two decimal places as needed.) Find the standard deviation of the mean weight of the salmon in the pallets sold to outlet stores. SD () =D (Round to two decimal places as needed.) b) The distribution of the salmon weights turns out to be skewed to the high end. Would the distribution of shipping weights be better characterized by a Normal model for the boxes or pallets? Explain. Choose the correct answer below.

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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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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A food company sells salmon to various customers. The mean weight of the salmon is 45 lb with a standard deviation of 2 Ibs. The company ships them to
restaurants in boxes of 4 salmon, to grocery stores in cartons of 36 salmon, and to discount outlet stores in pallets of 81 salmon. To forecast costs, the shipping
department needs to estimate the standard deviation of the mean weight of the salmon in each type of shipment. Complete parts (a) and (b) below.
a) Find the standard deviations of the mean weight of the salmon in each type of shipment.
Find the standard deviation of the mean weight of the salmon in the boxes sold to restaurants.
SD (ỹ) =D
(Round to two decimal places as needed.)
Find the standard deviation of the mean weight of the salmon in the cartons sold to grocery stores.
SD () =D
(Round to two decimal places as needed.)
Find the standard deviation of the mean weight of the salmon in the pallets sold to outlet stores.
SD () = D
%3D
(Round to two decimal places as needed.)
b) The distribution of the salmon weights turns out to be skewed to the high end. Would the distribution of shipping weights be better characterized by a Normal
model for the boxes or pallets? Explain. Choose the correct answer below.
O A. The pallets, because, as long as the underlying distribution is Normal, the sampling distribution of the mean approaches the Normal model as the sample
size increases.
O B. The pallets, because, regardless of the underlying distribution, the sampling distribution of the mean approaches the Normal model as the sample size
increases.
O C. The boxes, because, regardless of the underlying distribution, the sampling distribution of the mean approaches the Normal model as the sample size
increases.
O D. The boxes, because, as long as the underlying distribution is Normal, the sampling distribution of the mean approaches the Normal model as the sample
size increases.

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