Explain whether the mean lengths of stay be considered population means.

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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 3.5, Problem 216E

a.

To determine

Explain whether the mean lengths of stay be considered population means.

b.

To determine

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 66 days and standard deviation is 12 days.

c.

To determine

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 108 days and standard deviation is 12 days.

d.

To determine

Interpret what can conclude from parts (b) and parts (c) about an infant with a length of stay equal to the mean at all centers if that infant was born at a center with a mean of 66 days and 108 days.

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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 3.5, Problem 216E

a.

To determine

Explain whether the mean lengths of stay be considered population means.

b.

To determine

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 66 days and standard deviation is 12 days.

c.

To determine

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 108 days and standard deviation is 12 days.

d.

To determine

Interpret what can conclude from parts (b) and parts (c) about an infant with a length of stay equal to the mean at all centers if that infant was born at a center with a mean of 66 days and 108 days.

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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 3.5, Problem 216E

a.

To determine

Explain whether the mean lengths of stay be considered population means.

b.

To determine

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 66 days and standard deviation is 12 days.

c.

To determine

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 108 days and standard deviation is 12 days.

d.

To determine

Interpret what can conclude from parts (b) and parts (c) about an infant with a length of stay equal to the mean at all centers if that infant was born at a center with a mean of 66 days and 108 days.

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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 3.5, Problem 216E

a.

To determine

Explain whether the mean lengths of stay be considered population means.

b.

To determine

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 66 days and standard deviation is 12 days.

c.

To determine

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 108 days and standard deviation is 12 days.

d.

To determine

Interpret what can conclude from parts (b) and parts (c) about an infant with a length of stay equal to the mean at all centers if that infant was born at a center with a mean of 66 days and 108 days.

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Answer 5

Chapter 3.5, Problem 216E

a.

To determine

Explain whether the mean lengths of stay be considered population means.

b.

To determine

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 66 days and standard deviation is 12 days.

c.

To determine

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 108 days and standard deviation is 12 days.

d.

To determine

Interpret what can conclude from parts (b) and parts (c) about an infant with a length of stay equal to the mean at all centers if that infant was born at a center with a mean of 66 days and 108 days.

Answer 6

Chapter 3.5, Problem 216E

a.

To determine

Explain whether the mean lengths of stay be considered population means.

Answer 7

Chapter 3.5, Problem 216E

a.

To determine

Explain whether the mean lengths of stay be considered population means.

Answer 8

b.

To determine

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 66 days and standard deviation is 12 days.

Answer 9

b.

To determine

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 66 days and standard deviation is 12 days.

Answer 10

c.

To determine

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 108 days and standard deviation is 12 days.

Answer 11

c.

To determine

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 108 days and standard deviation is 12 days.

Answer 12

d.

To determine

Interpret what can conclude from parts (b) and parts (c) about an infant with a length of stay equal to the mean at all centers if that infant was born at a center with a mean of 66 days and 108 days.

Answer 13

d.

To determine

Interpret what can conclude from parts (b) and parts (c) about an infant with a length of stay equal to the mean at all centers if that infant was born at a center with a mean of 66 days and 108 days.

Answer 14

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Answer 15

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Answer 16

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Answer 17

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Explain whether the mean lengths of stay be considered population means.

Solution Summary: The author explains whether the mean lengths of stay be considered population means, since the data under consideration is all the babies born at the 14 centers.

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Explain whether the mean lengths of stay be considered population means.

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 66 days and standard deviation is 12 days.

Find the z-score for a baby’s length of stay of 86 days at the center where the mean is 108 days and standard deviation is 12 days.

Interpret what can conclude from parts (b) and parts (c) about an infant with a length of stay equal to the mean at all centers if that infant was born at a center with a mean of 66 days and 108 days.

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