Whether data provide sufficient evidence to depict a difference in the mean amounts of effluents discharged by the four plants

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Answer 1

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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 11, Problem 11.66SE

a)

To determine

To find: Whether data provide sufficient evidence to depict a difference in the mean amounts of effluents discharged by the four plants

b)

To determine

To find: Whether data provide sufficient evidence to show that the limit is exceeded at plant A, if it is given that the maximum mean discharge of effluents is 1.5lb/gal.

c)

To determine

To find: The difference in the mean discharge of effluents between plants A and D, using 95% confidence level.

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Bob and Teresa each collect their own samples to test the same hypothesis. Bob’s p-value turns out to be 0.05, and Teresa’s turns out to be 0.01. Why don’t Bob and Teresa get the same p-values? Who has stronger evidence against the null hypothesis: Bob or Teresa?

Review a classmate's Main Post. 1. State if you agree or disagree with the choices made for additional analysis that can be done beyond the frequency table. 2. Choose a measure of central tendency (mean, median, mode) that you would like to compute with the data beyond the frequency table. Complete either a or b below. a. Explain how that analysis can help you understand the data better. b. If you are currently unable to do that analysis, what do you think you could do to make it possible? If you do not think you can do anything, explain why it is not possible.

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 11, Problem 11.66SE

a)

To determine

To find: Whether data provide sufficient evidence to depict a difference in the mean amounts of effluents discharged by the four plants

b)

To determine

To find: Whether data provide sufficient evidence to show that the limit is exceeded at plant A, if it is given that the maximum mean discharge of effluents is 1.5lb/gal.

c)

To determine

To find: The difference in the mean discharge of effluents between plants A and D, using 95% confidence level.

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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 11, Problem 11.66SE

a)

To determine

To find: Whether data provide sufficient evidence to depict a difference in the mean amounts of effluents discharged by the four plants

b)

To determine

To find: Whether data provide sufficient evidence to show that the limit is exceeded at plant A, if it is given that the maximum mean discharge of effluents is 1.5lb/gal.

c)

To determine

To find: The difference in the mean discharge of effluents between plants A and D, using 95% confidence level.

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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 11, Problem 11.66SE

a)

To determine

To find: Whether data provide sufficient evidence to depict a difference in the mean amounts of effluents discharged by the four plants

b)

To determine

To find: Whether data provide sufficient evidence to show that the limit is exceeded at plant A, if it is given that the maximum mean discharge of effluents is 1.5lb/gal.

c)

To determine

To find: The difference in the mean discharge of effluents between plants A and D, using 95% confidence level.

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Answer 5

Chapter 11, Problem 11.66SE

a)

To determine

To find: Whether data provide sufficient evidence to depict a difference in the mean amounts of effluents discharged by the four plants

b)

To determine

To find: Whether data provide sufficient evidence to show that the limit is exceeded at plant A, if it is given that the maximum mean discharge of effluents is 1.5lb/gal.

c)

To determine

To find: The difference in the mean discharge of effluents between plants A and D, using 95% confidence level.

Answer 6

Chapter 11, Problem 11.66SE

a)

To determine

To find: Whether data provide sufficient evidence to depict a difference in the mean amounts of effluents discharged by the four plants

Answer 7

Chapter 11, Problem 11.66SE

a)

To determine

To find: Whether data provide sufficient evidence to depict a difference in the mean amounts of effluents discharged by the four plants

Answer 8

b)

To determine

To find: Whether data provide sufficient evidence to show that the limit is exceeded at plant A, if it is given that the maximum mean discharge of effluents is 1.5lb/gal.

Answer 9

b)

To determine

To find: Whether data provide sufficient evidence to show that the limit is exceeded at plant A, if it is given that the maximum mean discharge of effluents is 1.5lb/gal.

Answer 10

c)

To determine

To find: The difference in the mean discharge of effluents between plants A and D, using 95% confidence level.

Answer 11

c)

To determine

To find: The difference in the mean discharge of effluents between plants A and D, using 95% confidence level.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 11.5 - Prob. 11.1E Ch. 11.5 - Prob. 11.2E Ch. 11.5 - Prob. 11.3E Ch. 11.5 - Prob. 11.4E Ch. 11.5 - Prob. 11.5E Ch. 11.5 - Prob. 11.6E Ch. 11.5 - These data are observations collected using a...Ch. 11.5 - Prob. 11.8E Ch. 11.5 - Prob. 11.9E Ch. 11.5 - Reducing Hostility A clinical psychologist wished...

Whether data provide sufficient evidence to depict a difference in the mean amounts of effluents discharged by the four plants

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To find: Whether data provide sufficient evidence to depict a difference in the mean amounts of effluents discharged by the four plants

To find: Whether data provide sufficient evidence to show that the limit is exceeded at plant A, if it is given that the maximum mean discharge of effluents is 1.5lb/gal.

To find: The difference in the mean discharge of effluents between plants A and D, using 95% confidence level.

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