Explain whether it possible to obtain a “quick-and-dirty” estimate of the mean of a normal distribution from the 50th percentile value on a normal probability plot or not. Explain whether it also possible to obtain an estimate of the standard deviation of a normal distribution by subtracting the 84 th percentile value from the 50th percentile value or not.

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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 6.7, Problem 102E

To determine

Explain whether it possible to obtain a “quick-and-dirty” estimate of the mean of a normal distribution from the 50th percentile value on a normal probability plot or not.

Explain whether it also possible to obtain an estimate of the standard deviation of a normal distribution by subtracting the 84^th percentile value from the 50th percentile value or not.

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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 6.7, Problem 102E

To determine

Explain whether it possible to obtain a “quick-and-dirty” estimate of the mean of a normal distribution from the 50th percentile value on a normal probability plot or not.

Explain whether it also possible to obtain an estimate of the standard deviation of a normal distribution by subtracting the 84^th percentile value from the 50th percentile value or not.

Expert Solution & Answer

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Check out a sample textbook solution

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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 6.7, Problem 102E

To determine

Explain whether it possible to obtain a “quick-and-dirty” estimate of the mean of a normal distribution from the 50th percentile value on a normal probability plot or not.

Explain whether it also possible to obtain an estimate of the standard deviation of a normal distribution by subtracting the 84^th percentile value from the 50th percentile value or not.

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 6.7, Problem 102E

To determine