The following if body mass indices of American people between age 30 and 50 are normally distributed with a mean of 26.2 and standard deviation of 4.7. a) Determine the standard score and percentile of a BMI of 23. b) Determine the standard score and percentile of a BMI of 29. c) What percentage of American people are overweight and obese if BMI of 25 and greater are overweight and BMI of 30 or more are obese.

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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 6.C, Problem 38E

To determine

The following if body mass indices of American people between age 30 and 50 are normally distributed with a mean of 26.2 and standard deviation of 4.7.

a) Determine the standard score and percentile of a BMI of 23.

b) Determine the standard score and percentile of a BMI of 29.

c) What percentage of American people are overweight and obese if BMI of 25 and greater are overweight and BMI of 30 or more are obese.

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Answer 2

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.C, Problem 38E

To determine

The following if body mass indices of American people between age 30 and 50 are normally distributed with a mean of 26.2 and standard deviation of 4.7.

a) Determine the standard score and percentile of a BMI of 23.

b) Determine the standard score and percentile of a BMI of 29.

c) What percentage of American people are overweight and obese if BMI of 25 and greater are overweight and BMI of 30 or more are obese.

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.C, Problem 38E

To determine

The following if body mass indices of American people between age 30 and 50 are normally distributed with a mean of 26.2 and standard deviation of 4.7.

a) Determine the standard score and percentile of a BMI of 23.

b) Determine the standard score and percentile of a BMI of 29.

c) What percentage of American people are overweight and obese if BMI of 25 and greater are overweight and BMI of 30 or more are obese.

Expert Solution & Answer

Want to see the full answer?

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.C, Problem 38E

To determine