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

Question

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Answer 1

Question

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.

Chapter 17, Problem 1E

(a)

To determine

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

(a)

Expert Solution

Answer to Problem 1E

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

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)

To determine

Explain whether the distribution of shipping weights would be better characterized by a normal model for the boxes or pallets.

(b)

Expert Solution

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.

If pallets contain large number of salmon than the boxes, then the distribution of shipping weights is better characterized by a Normal model for the pallets. Otherwise, it would not be good to characterize by a Normal model.

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Answer 2

Question

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.

Chapter 17, Problem 1E

(a)

To determine

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

(a)

Expert Solution

Answer to Problem 1E

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

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)

To determine

Explain whether the distribution of shipping weights would be better characterized by a normal model for the boxes or pallets.

(b)

Expert Solution

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.

If pallets contain large number of salmon than the boxes, then the distribution of shipping weights is better characterized by a Normal model for the pallets. Otherwise, it would not be good to characterize by a Normal model.

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

Answer 3

Question

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.

Chapter 17, Problem 1E

(a)

To determine

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

(a)

Expert Solution

Answer to Problem 1E

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

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)

To determine

Explain whether the distribution of shipping weights would be better characterized by a normal model for the boxes or pallets.

(b)

Expert Solution

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.

If pallets contain large number of salmon than the boxes, then the distribution of shipping weights is better characterized by a Normal model for the pallets. Otherwise, it would not be good to characterize by a Normal model.

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

Answer 4

Question

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.

Chapter 17, Problem 1E

(a)

To determine

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

(a)

Expert Solution

Answer to Problem 1E

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

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)

To determine

Explain whether the distribution of shipping weights would be better characterized by a normal model for the boxes or pallets.

(b)

Expert Solution

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.

If pallets contain large number of salmon than the boxes, then the distribution of shipping weights is better characterized by a Normal model for the pallets. Otherwise, it would not be good to characterize by a Normal model.

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Answer 5

Chapter 17, Problem 1E

(a)

To determine

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

(a)

Expert Solution

Answer to Problem 1E

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

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)

To determine

Explain whether the distribution of shipping weights would be better characterized by a normal model for the boxes or pallets.

(b)

Expert Solution

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.

If pallets contain large number of salmon than the boxes, then the distribution of shipping weights is better characterized by a Normal model for the pallets. Otherwise, it would not be good to characterize by a Normal model.

Answer 6

Chapter 17, Problem 1E

(a)

To determine

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

(a)

Expert Solution

Answer to Problem 1E

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

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 7

Chapter 17, Problem 1E

(a)

To determine

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

Answer 8

(a)

Expert Solution

Answer to Problem 1E

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

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 13

(b)

To determine

Explain whether the distribution of shipping weights would be better characterized by a normal model for the boxes or pallets.

(b)

Expert Solution

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.

If pallets contain large number of salmon than the boxes, then the distribution of shipping weights is better characterized by a Normal model for the pallets. Otherwise, it would not be good to characterize by a Normal model.

Answer 14

(b)

To determine

Explain whether the distribution of shipping weights would be better characterized by a normal model for the boxes or pallets.

Answer 15

(b)

Expert Solution

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.

If pallets contain large number of salmon than the boxes, then the distribution of shipping weights is better characterized by a Normal model for the pallets. Otherwise, it would not be good to characterize by a Normal model.