Salmon A specialty food company sells whole King Salmon to various customers. The mean weight of these salmon is 35 pounds with a standard deviation of 2 pounds. The company ships them to restaurants in boxes of 4 salmon, to grocery stores in cartons of 16 salmon, and to discount outlet stores in pallets of 100 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. a) Find the standard deviations of the mean weight of the salmon in each type of shipment. 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.

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter 18, Problem 1E

Salmon A specialty food company sells whole King Salmon to various customers. The mean weight of these salmon is 35 pounds with a standard deviation of 2 pounds. The company ships them to restaurants in boxes of 4 salmon, to grocery stores in cartons of 16 salmon, and to discount outlet stores in pallets of 100 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.

a) Find the standard deviations of the mean weight of the salmon in each type of shipment.
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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

(a)

Expert Solution

To determine

Find the standard deviations of the mean weight of the salmon in each type of shipment.

Answer to Problem 1E

The standard deviations are 1 pound, 0.5 pound and 0.2 pounds.

Explanation of Solution

Given info:

A food company sells King Salmon to customers. The mean weight of these salmon is 35 pounds and standard deviation is 2 pounds. They delivered three different restaurants in boxes with 4 salmon, in cartons 16 salmon and in pallets 100 salmon respectively.

Calculation:

Standard deviation:

For shipment of 4 salmon the standard deviation is,

SD=σn=24=1

For shipment of 16 salmon the standard deviation is,

SD=σn=216=0.5

For shipment of 100 salmon the standard deviation is,

SD=σn=2100=0.2

Thus, the standard deviations are 1 pound, 0.5 pound and 0.2 pounds for 4 salmons, 16 salmons and 100 salmons respectively.

(b)

Expert Solution

To determine

Explain whether the distribution of shipping weights be better characterized by a normal model for the boxes or pallets or not.

Explanation of Solution

Given info:

The distribution of the salmon weights turns out to be skewed to the high end.

Justification:

By the central limit theorem, it can be said that for large sample size the distribution of the population mean follows normal distribution.

As pallets contains large number of salmon than the boxes. Hence, the distribution of shipping weights is better characterized by a Normal model for the pallets.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

This is the information about the actors who won the Best Actor Oscar: Best actors 44 41 62 52 41 34 34 52 41 37 38 34 32 40 43 56 41 39 49 57 35 30 39 41 44 41 38 42 52 51 49 35 47 31 47 37 57 42 45 42 44 62 43 42 48 49 56 38 60 30 40 42 36 76 39 53 45 36 62 43 51 32 42 54 52 37 38 32 45 60 46 40 36 47 29 43 a. What is the variable? What type? b. Construct an interval-frequency table, with columns containing: class mark, absolute frequency, relative frequency, cumulative frequency, cumulative relative frequency, and percentage frequency.

ans c pls

Critically analyze the following graph and, based on statistical information, indicate the type of error it presents IN NO MORE THAN 3 LINES SCOTCEN POLL OF POLLS SHOULD SCOTLAND BE INDEPENDENT? NO 52% YES 58% LIVE CAW NAS & 28.30 HAS KILLED MORE THAN 2,600 IN WEST AFRICA, WORLD HEALTH ORG. BROOKEBCNN

Answer 2

Textbook Question

Chapter 18, Problem 1E

Salmon A specialty food company sells whole King Salmon to various customers. The mean weight of these salmon is 35 pounds with a standard deviation of 2 pounds. The company ships them to restaurants in boxes of 4 salmon, to grocery stores in cartons of 16 salmon, and to discount outlet stores in pallets of 100 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.

a) Find the standard deviations of the mean weight of the salmon in each type of shipment.
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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

(a)

Expert Solution

To determine

Find the standard deviations of the mean weight of the salmon in each type of shipment.

Answer to Problem 1E

The standard deviations are 1 pound, 0.5 pound and 0.2 pounds.

Explanation of Solution

Given info:

A food company sells King Salmon to customers. The mean weight of these salmon is 35 pounds and standard deviation is 2 pounds. They delivered three different restaurants in boxes with 4 salmon, in cartons 16 salmon and in pallets 100 salmon respectively.

Calculation:

Standard deviation:

For shipment of 4 salmon the standard deviation is,

SD=σn=24=1

For shipment of 16 salmon the standard deviation is,

SD=σn=216=0.5

For shipment of 100 salmon the standard deviation is,

SD=σn=2100=0.2

Thus, the standard deviations are 1 pound, 0.5 pound and 0.2 pounds for 4 salmons, 16 salmons and 100 salmons respectively.

(b)

Expert Solution

To determine

Explain whether the distribution of shipping weights be better characterized by a normal model for the boxes or pallets or not.

Explanation of Solution

Given info:

The distribution of the salmon weights turns out to be skewed to the high end.

Justification:

By the central limit theorem, it can be said that for large sample size the distribution of the population mean follows normal distribution.

As pallets contains large number of salmon than the boxes. Hence, the distribution of shipping weights is better characterized by a Normal model for the pallets.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter 18, Problem 1E

Salmon A specialty food company sells whole King Salmon to various customers. The mean weight of these salmon is 35 pounds with a standard deviation of 2 pounds. The company ships them to restaurants in boxes of 4 salmon, to grocery stores in cartons of 16 salmon, and to discount outlet stores in pallets of 100 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.

a) Find the standard deviations of the mean weight of the salmon in each type of shipment.
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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

(a)

Expert Solution

To determine

Find the standard deviations of the mean weight of the salmon in each type of shipment.

Answer to Problem 1E

The standard deviations are 1 pound, 0.5 pound and 0.2 pounds.

Explanation of Solution

Given info:

A food company sells King Salmon to customers. The mean weight of these salmon is 35 pounds and standard deviation is 2 pounds. They delivered three different restaurants in boxes with 4 salmon, in cartons 16 salmon and in pallets 100 salmon respectively.

Calculation:

Standard deviation:

For shipment of 4 salmon the standard deviation is,

SD=σn=24=1

For shipment of 16 salmon the standard deviation is,

SD=σn=216=0.5

For shipment of 100 salmon the standard deviation is,

SD=σn=2100=0.2

Thus, the standard deviations are 1 pound, 0.5 pound and 0.2 pounds for 4 salmons, 16 salmons and 100 salmons respectively.

(b)

Expert Solution

To determine

Explain whether the distribution of shipping weights be better characterized by a normal model for the boxes or pallets or not.

Explanation of Solution

Given info:

The distribution of the salmon weights turns out to be skewed to the high end.

Justification:

By the central limit theorem, it can be said that for large sample size the distribution of the population mean follows normal distribution.

As pallets contains large number of salmon than the boxes. Hence, the distribution of shipping weights is better characterized by a Normal model for the pallets.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 18, Problem 1E

Salmon A specialty food company sells whole King Salmon to various customers. The mean weight of these salmon is 35 pounds with a standard deviation of 2 pounds. The company ships them to restaurants in boxes of 4 salmon, to grocery stores in cartons of 16 salmon, and to discount outlet stores in pallets of 100 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.

a) Find the standard deviations of the mean weight of the salmon in each type of shipment.
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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

(a)

Expert Solution

To determine

Find the standard deviations of the mean weight of the salmon in each type of shipment.

Answer to Problem 1E

The standard deviations are 1 pound, 0.5 pound and 0.2 pounds.

Explanation of Solution

Given info:

A food company sells King Salmon to customers. The mean weight of these salmon is 35 pounds and standard deviation is 2 pounds. They delivered three different restaurants in boxes with 4 salmon, in cartons 16 salmon and in pallets 100 salmon respectively.

Calculation:

Standard deviation:

For shipment of 4 salmon the standard deviation is,

SD=σn=24=1

For shipment of 16 salmon the standard deviation is,

SD=σn=216=0.5

For shipment of 100 salmon the standard deviation is,

SD=σn=2100=0.2

Thus, the standard deviations are 1 pound, 0.5 pound and 0.2 pounds for 4 salmons, 16 salmons and 100 salmons respectively.

(b)

Expert Solution

To determine

Explain whether the distribution of shipping weights be better characterized by a normal model for the boxes or pallets or not.

Explanation of Solution

Given info:

The distribution of the salmon weights turns out to be skewed to the high end.

Justification:

By the central limit theorem, it can be said that for large sample size the distribution of the population mean follows normal distribution.

As pallets contains large number of salmon than the boxes. Hence, the distribution of shipping weights is better characterized by a Normal model for the pallets.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

(a)

Expert Solution

To determine

Find the standard deviations of the mean weight of the salmon in each type of shipment.

Answer to Problem 1E

The standard deviations are 1 pound, 0.5 pound and 0.2 pounds.

Explanation of Solution

Given info:

A food company sells King Salmon to customers. The mean weight of these salmon is 35 pounds and standard deviation is 2 pounds. They delivered three different restaurants in boxes with 4 salmon, in cartons 16 salmon and in pallets 100 salmon respectively.

Calculation:

Standard deviation:

For shipment of 4 salmon the standard deviation is,

SD=σn=24=1

For shipment of 16 salmon the standard deviation is,

SD=σn=216=0.5

For shipment of 100 salmon the standard deviation is,

SD=σn=2100=0.2

Thus, the standard deviations are 1 pound, 0.5 pound and 0.2 pounds for 4 salmons, 16 salmons and 100 salmons respectively.

(b)

Expert Solution

To determine

Explain whether the distribution of shipping weights be better characterized by a normal model for the boxes or pallets or not.

Explanation of Solution

Given info:

The distribution of the salmon weights turns out to be skewed to the high end.

Justification:

By the central limit theorem, it can be said that for large sample size the distribution of the population mean follows normal distribution.

As pallets contains large number of salmon than the boxes. Hence, the distribution of shipping weights is better characterized by a Normal model for the pallets.

Answer 8

(a)

Expert Solution

To determine

Find the standard deviations of the mean weight of the salmon in each type of shipment.

Answer to Problem 1E

The standard deviations are 1 pound, 0.5 pound and 0.2 pounds.

Explanation of Solution

Given info:

A food company sells King Salmon to customers. The mean weight of these salmon is 35 pounds and standard deviation is 2 pounds. They delivered three different restaurants in boxes with 4 salmon, in cartons 16 salmon and in pallets 100 salmon respectively.

Calculation:

Standard deviation:

For shipment of 4 salmon the standard deviation is,

SD=σn=24=1

For shipment of 16 salmon the standard deviation is,

SD=σn=216=0.5

For shipment of 100 salmon the standard deviation is,

SD=σn=2100=0.2

Thus, the standard deviations are 1 pound, 0.5 pound and 0.2 pounds for 4 salmons, 16 salmons and 100 salmons respectively.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

Find the standard deviations of the mean weight of the salmon in each type of shipment.

Answer 13

Answer to Problem 1E

The standard deviations are 1 pound, 0.5 pound and 0.2 pounds.

Answer 14

Explanation of Solution

Given info:

A food company sells King Salmon to customers. The mean weight of these salmon is 35 pounds and standard deviation is 2 pounds. They delivered three different restaurants in boxes with 4 salmon, in cartons 16 salmon and in pallets 100 salmon respectively.

Calculation:

Standard deviation:

For shipment of 4 salmon the standard deviation is,

SD=σn=24=1

For shipment of 16 salmon the standard deviation is,

SD=σn=216=0.5

For shipment of 100 salmon the standard deviation is,

SD=σn=2100=0.2

Thus, the standard deviations are 1 pound, 0.5 pound and 0.2 pounds for 4 salmons, 16 salmons and 100 salmons respectively.

Answer 15

(b)

Expert Solution

To determine

Explain whether the distribution of shipping weights be better characterized by a normal model for the boxes or pallets or not.

Explanation of Solution

Given info:

The distribution of the salmon weights turns out to be skewed to the high end.

Justification:

By the central limit theorem, it can be said that for large sample size the distribution of the population mean follows normal distribution.

As pallets contains large number of salmon than the boxes. Hence, the distribution of shipping weights is better characterized by a Normal model for the pallets.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

Explain whether the distribution of shipping weights be better characterized by a normal model for the boxes or pallets or not.

Answer 20

Explanation of Solution

Given info:

The distribution of the salmon weights turns out to be skewed to the high end.

Justification:

By the central limit theorem, it can be said that for large sample size the distribution of the population mean follows normal distribution.

As pallets contains large number of salmon than the boxes. Hence, the distribution of shipping weights is better characterized by a Normal model for the pallets.

Answer 21

Ch. 18.2 - Every 10 years, the United States takes a census....Ch. 18.2 - Prob. 2JC Ch. 18.2 - Prob. 3JC Ch. 18.2 - Every 10 years, the United States takes a census....Ch. 18.2 - Prob. 5JC Ch. 18.2 - Prob. 6JC Ch. 18 - Salmon A specialty food company sells whole King...Ch. 18 - LSAT The LSAT (a test taken for law school...Ch. 18 - Prob. 3E Ch. 18 - t-models, part II Using the t tables, software, or...

Videos

Answer to Problem 1E

Explanation of Solution

Explanation of Solution

Want to see more full solutions like this?

Chapter 18 Solutions