The sampling distribution of the sample means with n = 9 and the necessary condition to apply the central limit theorem.

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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 8, Problem 15E

(a)

To determine

To describe: The sampling distribution of the sample means with n=9 and the necessary condition to apply the central limit theorem.

(b)

To determine

To find: The standard error of the sampling distribution of the sample means.

(c)

To determine

To find: The probability that a sample mean is greater than 63.

(d)

To determine

To find: The probability that a sample mean is less than 56.

(e)

To determine

To find: The probability that a sample mean is between 56 and 63.

(f)

To determine

To find: The probability that the sampling error x¯−μ would be 9 or more that is the probability that the estimate of the population mean is less than $51 or more than $69.

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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 8, Problem 15E

(a)

To determine

To describe: The sampling distribution of the sample means with n=9 and the necessary condition to apply the central limit theorem.

(b)

To determine

To find: The standard error of the sampling distribution of the sample means.

(c)

To determine

To find: The probability that a sample mean is greater than 63.

(d)

To determine

To find: The probability that a sample mean is less than 56.

(e)

To determine

To find: The probability that a sample mean is between 56 and 63.

(f)

To determine

To find: The probability that the sampling error x¯−μ would be 9 or more that is the probability that the estimate of the population mean is less than $51 or more than $69.

Expert Solution & Answer

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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 8, Problem 15E

(a)

To determine

To describe: The sampling distribution of the sample means with n=9 and the necessary condition to apply the central limit theorem.

(b)

To determine

To find: The standard error of the sampling distribution of the sample means.

(c)

To determine

To find: The probability that a sample mean is greater than 63.

(d)

To determine

To find: The probability that a sample mean is less than 56.

(e)

To determine

To find: The probability that a sample mean is between 56 and 63.

(f)

To determine

To find: The probability that the sampling error x¯−μ would be 9 or more that is the probability that the estimate of the population mean is less than $51 or more than $69.

Expert Solution & Answer

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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 8, Problem 15E

(a)

To determine

To describe: The sampling distribution of the sample means with n=9 and the necessary condition to apply the central limit theorem.

(b)

To determine

To find: The standard error of the sampling distribution of the sample means.

(c)

To determine

To find: The probability that a sample mean is greater than 63.

(d)

To determine

To find: The probability that a sample mean is less than 56.

(e)

To determine

To find: The probability that a sample mean is between 56 and 63.

(f)

To determine

To find: The probability that the sampling error x¯−μ would be 9 or more that is the probability that the estimate of the population mean is less than $51 or more than $69.

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Answer 5

Chapter 8, Problem 15E

(a)

To determine

To describe: The sampling distribution of the sample means with n=9 and the necessary condition to apply the central limit theorem.

(b)

To determine

To find: The standard error of the sampling distribution of the sample means.

(c)

To determine

To find: The probability that a sample mean is greater than 63.

(d)

To determine

To find: The probability that a sample mean is less than 56.

(e)

To determine

To find: The probability that a sample mean is between 56 and 63.

(f)

To determine

To find: The probability that the sampling error x¯−μ would be 9 or more that is the probability that the estimate of the population mean is less than $51 or more than $69.

Answer 6

Chapter 8, Problem 15E

(a)

To determine

To describe: The sampling distribution of the sample means with n=9 and the necessary condition to apply the central limit theorem.

Answer 7

Chapter 8, Problem 15E

(a)

To determine

To describe: The sampling distribution of the sample means with n=9 and the necessary condition to apply the central limit theorem.

Answer 8

(b)

To determine

To find: The standard error of the sampling distribution of the sample means.

Answer 9

(b)

To determine

To find: The standard error of the sampling distribution of the sample means.

Answer 10

(c)

To determine

To find: The probability that a sample mean is greater than 63.

Answer 11

(c)

To determine

To find: The probability that a sample mean is greater than 63.

Answer 12

(d)

To determine

To find: The probability that a sample mean is less than 56.

Answer 13

(d)

To determine

To find: The probability that a sample mean is less than 56.

Answer 14

(e)

To determine

To find: The probability that a sample mean is between 56 and 63.

Answer 15

(e)

To determine

To find: The probability that a sample mean is between 56 and 63.

Answer 16

(f)

To determine

To find: The probability that the sampling error x¯−μ would be 9 or more that is the probability that the estimate of the population mean is less than $51 or more than $69.

Answer 17

(f)

To determine

To find: The probability that the sampling error x¯−μ would be 9 or more that is the probability that the estimate of the population mean is less than $51 or more than $69.

Answer 18

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Answer 19

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Answer 20

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Answer 21

Ch. 8 - Prob. 1SR Ch. 8 - Prob. 2SR Ch. 8 - The following is a list of 24 Marcos Pizza stores...Ch. 8 - The following is a list of 29 hospitals in the...Ch. 8 - Listed below are the 35 members of the Metro...Ch. 8 - Listed next are the 27 Nationwide Insurance agents...Ch. 8 - The years of service of the five executives...Ch. 8 - Prob. 5E Ch. 8 - Prob. 6E Ch. 8 - Prob. 7E

The sampling distribution of the sample means with n = 9 and the necessary condition to apply the central limit theorem.

Solution Summary: The author describes the sampling distribution of the sample means with n=9 and the necessary condition to apply the central limit theorem.

To describe: The sampling distribution of the sample means with n=9 and the necessary condition to apply the central limit theorem.

To find: The standard error of the sampling distribution of the sample means.

To find: The probability that a sample mean is greater than 63.

To find: The probability that a sample mean is less than 56.

To find: The probability that a sample mean is between 56 and 63.

To find: The probability that the sampling error x¯−μ would be 9 or more that is the probability that the estimate of the population mean is less than $51 or more than $69.

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