A vendor converts the weights on the packages she sends out from pounds to kilograms (1 kg ≈ 2.2 lb). a. How does this affect the mean weight of the packages? b. How does this affect the standard deviation of the weights?

Question

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Answer 1

Textbook Question

Chapter 1, Problem 1SE

A vendor converts the weights on the packages she sends out from pounds to kilograms (1 kg ≈ 2.2 lb).

a. How does this affect the mean weight of the packages?
b. How does this affect the standard deviation of the weights?

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 + ...

a.

Expert Solution

To determine

How the converted kilograms affect the mean weights of the packages.

Answer to Problem 1SE

The converted kilograms affects that the mean weights of the packages will be divided by 2.2.

Explanation of Solution

Given info:

A vendor converts the weights on the packages sends out from pounds to kilograms (1kg≈2.2 lb).

Calculation:

The mean defines that the center or average of the data and it is calculated by the sum of the numbers in the sample and divided by total numbers.

Also, if a constant is multiply (or divided) to each sample item then the sample means multiply (or divided) by the same constant.

Thus, it can be concluded that the converted kilograms affect the mean weights of the packages will be divided by 2.2.

b.

Expert Solution

To determine

How the converted kilograms affect the standard deviation of the weights.

Answer to Problem 1SE

The converted kilograms affects that the standard deviation will be divided by 2.2.

Explanation of Solution

Calculation:

The standard deviation defines the quantity and it measures the degree of spread in a sample.

Also, if a constant is multiply (or divided) to each sample item then the sample standard deviation multiply (or divided) by the same constant.

Thus, it can be concluded that the converted kilograms affect that the standard deviation will be divided by 2.2.

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Answer 2

Textbook Question

Chapter 1, Problem 1SE

A vendor converts the weights on the packages she sends out from pounds to kilograms (1 kg ≈ 2.2 lb).

a. How does this affect the mean weight of the packages?
b. How does this affect the standard deviation of the weights?

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 + ...

a.

Expert Solution

To determine

How the converted kilograms affect the mean weights of the packages.

Answer to Problem 1SE

The converted kilograms affects that the mean weights of the packages will be divided by 2.2.

Explanation of Solution

Given info:

A vendor converts the weights on the packages sends out from pounds to kilograms (1kg≈2.2 lb).

Calculation:

The mean defines that the center or average of the data and it is calculated by the sum of the numbers in the sample and divided by total numbers.

Also, if a constant is multiply (or divided) to each sample item then the sample means multiply (or divided) by the same constant.

Thus, it can be concluded that the converted kilograms affect the mean weights of the packages will be divided by 2.2.

b.

Expert Solution

To determine

How the converted kilograms affect the standard deviation of the weights.

Answer to Problem 1SE

The converted kilograms affects that the standard deviation will be divided by 2.2.

Explanation of Solution

Calculation:

The standard deviation defines the quantity and it measures the degree of spread in a sample.

Also, if a constant is multiply (or divided) to each sample item then the sample standard deviation multiply (or divided) by the same constant.

Thus, it can be concluded that the converted kilograms affect that the standard deviation will be divided by 2.2.

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Answer 3

Textbook Question

Chapter 1, Problem 1SE

A vendor converts the weights on the packages she sends out from pounds to kilograms (1 kg ≈ 2.2 lb).

a. How does this affect the mean weight of the packages?
b. How does this affect the standard deviation of the weights?

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 + ...

a.

Expert Solution

To determine

How the converted kilograms affect the mean weights of the packages.

Answer to Problem 1SE

The converted kilograms affects that the mean weights of the packages will be divided by 2.2.

Explanation of Solution

Given info:

A vendor converts the weights on the packages sends out from pounds to kilograms (1kg≈2.2 lb).

Calculation:

The mean defines that the center or average of the data and it is calculated by the sum of the numbers in the sample and divided by total numbers.

Also, if a constant is multiply (or divided) to each sample item then the sample means multiply (or divided) by the same constant.

Thus, it can be concluded that the converted kilograms affect the mean weights of the packages will be divided by 2.2.

b.

Expert Solution

To determine

How the converted kilograms affect the standard deviation of the weights.

Answer to Problem 1SE

The converted kilograms affects that the standard deviation will be divided by 2.2.

Explanation of Solution

Calculation:

The standard deviation defines the quantity and it measures the degree of spread in a sample.

Also, if a constant is multiply (or divided) to each sample item then the sample standard deviation multiply (or divided) by the same constant.

Thus, it can be concluded that the converted kilograms affect that the standard deviation will be divided by 2.2.

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Answer 4

Textbook Question

Chapter 1, Problem 1SE

A vendor converts the weights on the packages she sends out from pounds to kilograms (1 kg ≈ 2.2 lb).

a. How does this affect the mean weight of the packages?
b. How does this affect the standard deviation of the weights?

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 + ...

a.

Expert Solution

To determine

How the converted kilograms affect the mean weights of the packages.

Answer to Problem 1SE

The converted kilograms affects that the mean weights of the packages will be divided by 2.2.

Explanation of Solution

Given info:

A vendor converts the weights on the packages sends out from pounds to kilograms (1kg≈2.2 lb).

Calculation:

The mean defines that the center or average of the data and it is calculated by the sum of the numbers in the sample and divided by total numbers.

Also, if a constant is multiply (or divided) to each sample item then the sample means multiply (or divided) by the same constant.

Thus, it can be concluded that the converted kilograms affect the mean weights of the packages will be divided by 2.2.

b.

Expert Solution

To determine

How the converted kilograms affect the standard deviation of the weights.

Answer to Problem 1SE

The converted kilograms affects that the standard deviation will be divided by 2.2.

Explanation of Solution

Calculation:

The standard deviation defines the quantity and it measures the degree of spread in a sample.

Also, if a constant is multiply (or divided) to each sample item then the sample standard deviation multiply (or divided) by the same constant.

Thus, it can be concluded that the converted kilograms affect that the standard deviation will be divided by 2.2.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

a.

Expert Solution

To determine

How the converted kilograms affect the mean weights of the packages.

Answer to Problem 1SE

The converted kilograms affects that the mean weights of the packages will be divided by 2.2.

Explanation of Solution

Given info:

A vendor converts the weights on the packages sends out from pounds to kilograms (1kg≈2.2 lb).

Calculation:

The mean defines that the center or average of the data and it is calculated by the sum of the numbers in the sample and divided by total numbers.

Also, if a constant is multiply (or divided) to each sample item then the sample means multiply (or divided) by the same constant.

Thus, it can be concluded that the converted kilograms affect the mean weights of the packages will be divided by 2.2.

b.

Expert Solution

To determine

How the converted kilograms affect the standard deviation of the weights.

Answer to Problem 1SE

The converted kilograms affects that the standard deviation will be divided by 2.2.

Explanation of Solution

Calculation:

The standard deviation defines the quantity and it measures the degree of spread in a sample.

Also, if a constant is multiply (or divided) to each sample item then the sample standard deviation multiply (or divided) by the same constant.

Thus, it can be concluded that the converted kilograms affect that the standard deviation will be divided by 2.2.

Answer 8

a.

Expert Solution

To determine

How the converted kilograms affect the mean weights of the packages.

Answer to Problem 1SE

The converted kilograms affects that the mean weights of the packages will be divided by 2.2.

Explanation of Solution

Given info:

A vendor converts the weights on the packages sends out from pounds to kilograms (1kg≈2.2 lb).

Calculation:

The mean defines that the center or average of the data and it is calculated by the sum of the numbers in the sample and divided by total numbers.

Also, if a constant is multiply (or divided) to each sample item then the sample means multiply (or divided) by the same constant.

Thus, it can be concluded that the converted kilograms affect the mean weights of the packages will be divided by 2.2.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

How the converted kilograms affect the mean weights of the packages.

Answer 13

Answer to Problem 1SE

The converted kilograms affects that the mean weights of the packages will be divided by 2.2.

Answer 14

Explanation of Solution

Given info:

A vendor converts the weights on the packages sends out from pounds to kilograms (1kg≈2.2 lb).

Calculation:

The mean defines that the center or average of the data and it is calculated by the sum of the numbers in the sample and divided by total numbers.

Also, if a constant is multiply (or divided) to each sample item then the sample means multiply (or divided) by the same constant.

Thus, it can be concluded that the converted kilograms affect the mean weights of the packages will be divided by 2.2.

Answer 15

b.

Expert Solution

To determine

How the converted kilograms affect the standard deviation of the weights.

Answer to Problem 1SE

The converted kilograms affects that the standard deviation will be divided by 2.2.

Explanation of Solution

Calculation:

The standard deviation defines the quantity and it measures the degree of spread in a sample.

Also, if a constant is multiply (or divided) to each sample item then the sample standard deviation multiply (or divided) by the same constant.

Thus, it can be concluded that the converted kilograms affect that the standard deviation will be divided by 2.2.

Answer 16

b.

Expert Solution

Answer 17

b.

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

How the converted kilograms affect the standard deviation of the weights.

Answer 20

Answer to Problem 1SE

The converted kilograms affects that the standard deviation will be divided by 2.2.

Answer 21

Explanation of Solution

Calculation:

The standard deviation defines the quantity and it measures the degree of spread in a sample.

Also, if a constant is multiply (or divided) to each sample item then the sample standard deviation multiply (or divided) by the same constant.

Thus, it can be concluded that the converted kilograms affect that the standard deviation will be divided by 2.2.

Answer 22

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A vendor converts the weights on the packages she sends out from pounds to kilograms (1 kg ≈ 2.2 lb). a. How does this affect the mean weight of the packages? b. How does this affect the standard deviation of the weights?

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