Obtain the estimates of the main effects and interaction.

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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 + ...

Chapter 9, Problem 12SE

a.

To determine

Obtain the estimates of the main effects and interaction.

b.

To determine

Obtain an ANOVA table.

c.

To determine

Explain whether the additive model is appropriate.

d.

To determine

Give the conclusions about the factors

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Answer 2

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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 + ...

Chapter 9, Problem 12SE

a.

To determine

Obtain the estimates of the main effects and interaction.

b.

To determine

Obtain an ANOVA table.

c.

To determine

Explain whether the additive model is appropriate.

d.

To determine

Give the conclusions about the factors

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Check out a sample textbook solution

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Answer 3

Question

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 + ...

Chapter 9, Problem 12SE

a.

To determine

Obtain the estimates of the main effects and interaction.

b.

To determine

Obtain an ANOVA table.

c.

To determine

Explain whether the additive model is appropriate.

d.

To determine

Give the conclusions about the factors

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

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 + ...

Chapter 9, Problem 12SE

a.

To determine

Obtain the estimates of the main effects and interaction.

b.

To determine

Obtain an ANOVA table.

c.

To determine

Explain whether the additive model is appropriate.

d.

To determine

Give the conclusions about the factors

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 9, Problem 12SE

a.

To determine

Obtain the estimates of the main effects and interaction.

b.

To determine

Obtain an ANOVA table.

c.

To determine

Explain whether the additive model is appropriate.

d.

To determine

Give the conclusions about the factors

Answer 6

Chapter 9, Problem 12SE

a.

To determine

Obtain the estimates of the main effects and interaction.

Answer 7

Chapter 9, Problem 12SE

a.

To determine

Obtain the estimates of the main effects and interaction.

Answer 8

b.

To determine

Obtain an ANOVA table.

Answer 9

b.

To determine

Obtain an ANOVA table.

Answer 10

c.

To determine

Explain whether the additive model is appropriate.

Answer 11

c.

To determine

Explain whether the additive model is appropriate.

Answer 12

d.

To determine

Give the conclusions about the factors

Answer 13

d.

To determine

Give the conclusions about the factors

Answer 14

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Answer 15

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Answer 16

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Answer 17

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Obtain the estimates of the main effects and interaction.

Solution Summary: The author estimates the main effects and interaction for each treatment combination, based on conducting the experiment to investigate thickness of the vinyl of which has two levels for the proportion of a certain plasticizer, the rate of extrusion, and the

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Obtain the estimates of the main effects and interaction.

Obtain an ANOVA table.

Explain whether the additive model is appropriate.

Give the conclusions about the factors

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