Explain whether it is appropriate to use normal distribution to approximate the distribution of p ^ 1 − p ^ 2 .

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Answer 1

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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 7.4, Problem 22P

(a)

To determine

Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

(b)

To determine

Find the 99% confidence interval for p1−p2.

(c)

To determine

Interpret the confidence interval in the context of the problem.

Identify whether the interval consist of numbers that are all positive or all negative or of different signs.

Compare the population proportion of unidentified artifacts at high elevations (7,000–7,500

feet) with the population proportion of unidentified artifacts at lower elevations (5,000–5,500 feet) at 99% level of confidence.

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Unknown cultural affiliations and loss of identity at high elevations." These are words used to propose the hypothesis that archaeological sites tend to lose their identity as altitude extremes are reached. This idea is based on the notion that prehistoric people tended not to take trade wares to temporary settings and/or isolated areas. As elevation zones of prehistoric people (in what is now the state of New Mexico) increased, there seemed to be a loss of artifact identification. Consider the following information. Elevation Zone Number of Artifacts Number Unidentified 7000-7500 ft 111 75 5000-5500 ft 138 28 Let p1 be the population proportion of unidentified archaeological artifacts at the elevation zone 7000-7500 feet in the given archaeological area. Let p2 be the population proportion of unidentified archaeological artifacts at the elevation zone 5000-5500 feet in the given archaeological area. (a) Find a 99% confidence interval for p1 – p2. (Use 3 decimal places.)…

"Unknown cultural affiliations and loss of identity at high elevations." These are words used to propose the hypothesis that archaeological sites tend to lose their identity as altitude extremes are reached. This idea is based on the notion that prehistoric people tended not to take trade wares to temporary settings and/or isolated areas. As elevation zones of prehistoric people (in what is now the state of New Mexico) increased, there seemed to be a loss of artifact identification. Consider the following information. Elevation Zone Number of Artifacts Number Unidentified 7000-7500 ft 105 73 5000-5500 ft 143 20 Let p1 be the population proportion of unidentified archaeological artifacts at the elevation zone 7000-7500 feet in the given archaeological area. Let p2 be the population proportion of unidentified archaeological artifacts at the elevation zone 5000-5500 feet in the given archaeological area. (a) Find a 90% confidence interval for p1 - P2. (Use 3 decimal places.) lower limit…

"Unknown cultural affiliations and loss of identity at high elevations." These are words used to propose the hypothesis that archaeological sites tend to lose their identity as altitude extremes are reached. This idea is based on the notion that prehistoric people tended not to take trade wares to temporary settings and/or isolated areas. As elevation zones of prehistoric people (in what is now the state of New Mexico) increased, there seemed to be a loss of artifact identification. Consider the following information. Elevation Zone Number of Artifacts Number Unidentified 7000-7500 ft 115 72 5000-5500 ft 145 30 Let p, be the population proportion of unidentified archaeological artifacts at the elevation zone 7000-7500 feet in the given archaeological area. Let p, be the population proportion of unidentified archaeological artifacts at the elevation zone 5000-5500 feet in the given archaeological area. n USE SALT (a) Find a 95% confidence interval for p, - p,. (Use 3 decimal places.)…

Answer 2

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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 7.4, Problem 22P

(a)

To determine

Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

(b)

To determine

Find the 99% confidence interval for p1−p2.

(c)

To determine

Interpret the confidence interval in the context of the problem.

Identify whether the interval consist of numbers that are all positive or all negative or of different signs.

Compare the population proportion of unidentified artifacts at high elevations (7,000–7,500

feet) with the population proportion of unidentified artifacts at lower elevations (5,000–5,500 feet) at 99% level of confidence.

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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 7.4, Problem 22P

(a)

To determine

Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

(b)

To determine

Find the 99% confidence interval for p1−p2.

(c)

To determine

Interpret the confidence interval in the context of the problem.

Identify whether the interval consist of numbers that are all positive or all negative or of different signs.

Compare the population proportion of unidentified artifacts at high elevations (7,000–7,500

feet) with the population proportion of unidentified artifacts at lower elevations (5,000–5,500 feet) at 99% level of confidence.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

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 7.4, Problem 22P

(a)

To determine

Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

(b)

To determine

Find the 99% confidence interval for p1−p2.

(c)

To determine

Interpret the confidence interval in the context of the problem.

Identify whether the interval consist of numbers that are all positive or all negative or of different signs.

Compare the population proportion of unidentified artifacts at high elevations (7,000–7,500

feet) with the population proportion of unidentified artifacts at lower elevations (5,000–5,500 feet) at 99% level of confidence.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 5

Chapter 7.4, Problem 22P

(a)

To determine

Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

(b)

To determine

Find the 99% confidence interval for p1−p2.

(c)

To determine

Interpret the confidence interval in the context of the problem.

Identify whether the interval consist of numbers that are all positive or all negative or of different signs.

Compare the population proportion of unidentified artifacts at high elevations (7,000–7,500

feet) with the population proportion of unidentified artifacts at lower elevations (5,000–5,500 feet) at 99% level of confidence.

Answer 6

Chapter 7.4, Problem 22P

(a)

To determine

Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

Answer 7

Chapter 7.4, Problem 22P

(a)

To determine

Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

Answer 8

(b)

To determine

Find the 99% confidence interval for p1−p2.

Answer 9

(b)

To determine

Find the 99% confidence interval for p1−p2.

Answer 10

(c)

To determine

Interpret the confidence interval in the context of the problem.

Identify whether the interval consist of numbers that are all positive or all negative or of different signs.

Compare the population proportion of unidentified artifacts at high elevations (7,000–7,500

feet) with the population proportion of unidentified artifacts at lower elevations (5,000–5,500 feet) at 99% level of confidence.

Answer 11

(c)

To determine

Interpret the confidence interval in the context of the problem.

Identify whether the interval consist of numbers that are all positive or all negative or of different signs.

Compare the population proportion of unidentified artifacts at high elevations (7,000–7,500

feet) with the population proportion of unidentified artifacts at lower elevations (5,000–5,500 feet) at 99% level of confidence.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Explain whether it is appropriate to use normal distribution to approximate the distribution of p ^ 1 − p ^ 2 .

Solution Summary: The author explains whether it is appropriate to use normal distribution to approximate the distribution of stackrelp_1.

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Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

Find the 99% confidence interval for p1−p2.

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