Whether σ X ¯ should be corrected using the finite population correction factor or not with reason. Also, find the value of σ X ¯ .

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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 6.4, Problem 20BB

(a)

To determine

To explain: Whether $σX¯$ should be corrected using the finite population correction factor or not with reason. Also, find the value of $σX¯$ .

(b)

To determine

To find: The probability that the mean IQ score of the sample is between 95 and 105.

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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 6.4, Problem 20BB

(a)

To determine

To explain: Whether $σX¯$ should be corrected using the finite population correction factor or not with reason. Also, find the value of $σX¯$ .

(b)

To determine

To find: The probability that the mean IQ score of the sample is between 95 and 105.

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Answer 3

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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 6.4, Problem 20BB

(a)

To determine

To explain: Whether $σX¯$ should be corrected using the finite population correction factor or not with reason. Also, find the value of $σX¯$ .

(b)

To determine

To find: The probability that the mean IQ score of the sample is between 95 and 105.

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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 6.4, Problem 20BB

(a)

To determine

To explain: Whether $σX¯$ should be corrected using the finite population correction factor or not with reason. Also, find the value of $σX¯$ .

(b)

To determine

To find: The probability that the mean IQ score of the sample is between 95 and 105.

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Answer 5

Chapter 6.4, Problem 20BB

(a)

To determine

To explain: Whether $σX¯$ should be corrected using the finite population correction factor or not with reason. Also, find the value of $σX¯$ .

(b)

To determine

To find: The probability that the mean IQ score of the sample is between 95 and 105.

Answer 6

Chapter 6.4, Problem 20BB

(a)

To determine

To explain: Whether $σX¯$ should be corrected using the finite population correction factor or not with reason. Also, find the value of $σX¯$ .

Answer 7

Chapter 6.4, Problem 20BB

(a)

To determine

To explain: Whether $σX¯$ should be corrected using the finite population correction factor or not with reason. Also, find the value of $σX¯$ .

Answer 8

(b)

To determine

To find: The probability that the mean IQ score of the sample is between 95 and 105.

Answer 9

(b)

To determine

To find: The probability that the mean IQ score of the sample is between 95 and 105.

Answer 10

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Answer 13

Ch. 6.1 - 1. Normal Distribution What’s wrong with the...Ch. 6.1 - Prob. 2BSC Ch. 6.1 - Prob. 3BSC Ch. 6.1 - Prob. 4BSC Ch. 6.1 - Continuous Uniform Distribution. In Exercises 5–8,...Ch. 6.1 - Continuous Uniform Distribution. In Exercises 5–8,...Ch. 6.1 - Prob. 7BSC Ch. 6.1 - Prob. 8BSC Ch. 6.1 - Standard Normal Distribution. In Exercises 9–12,...Ch. 6.1 - Standard Normal Distribution. In Exercises 9–12,...

Whether σ X ¯ should be corrected using the finite population correction factor or not with reason. Also, find the value of σ X ¯ .

Solution Summary: The author analyzes the distribution of the mean IQ scores for samples of 50 children with the Central Limit Theorem.

To explain: Whether $σX¯$ should be corrected using the finite population correction factor or not with reason. Also, find the value of $σX¯$ .

To find: The probability that the mean IQ score of the sample is between 95 and 105.

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