The central limit theorem applicable on x ¯ distribution.

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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 9, Problem 6CRP

(a)

To determine

To explain: The central limit theorem applicable on x¯ distribution.

(b)

To determine

To find: The probability that x¯ will be lower than 6820.

(c)

To determine

Whether we recommended that additional fact should be obtained or the worker's claims be dismissed.

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Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined. 1.What percent of the refunds are more than $3,500? 2. What percent of the refunds are more than $3500 but less than $3579? 3. What percent of the refunds are more than $3325 but less than $3579?

A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts? 1. Compute the probability of a value between 44.0 and 55.0. (The question requires finding probability value between 44 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 44, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the answer of the second part.) 2. Compute the probability of a value greater than 55.0. Use the same formula, x=55 and subtract the answer from 1. 3. Compute the probability of a value between 52.0 and 55.0. (The question requires finding probability value between 52 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 52, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the…

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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 9, Problem 6CRP

(a)

To determine

To explain: The central limit theorem applicable on x¯ distribution.

(b)

To determine

To find: The probability that x¯ will be lower than 6820.

(c)

To determine

Whether we recommended that additional fact should be obtained or the worker's claims be dismissed.

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 9, Problem 6CRP

(a)

To determine

To explain: The central limit theorem applicable on x¯ distribution.

(b)

To determine

To find: The probability that x¯ will be lower than 6820.

(c)

To determine

Whether we recommended that additional fact should be obtained or the worker's claims be dismissed.

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 9, Problem 6CRP

(a)

To determine

To explain: The central limit theorem applicable on x¯ distribution.

(b)

To determine

To find: The probability that x¯ will be lower than 6820.

(c)

To determine

Whether we recommended that additional fact should be obtained or the worker's claims be dismissed.

Expert Solution & Answer

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Answer 5

Chapter 9, Problem 6CRP

(a)

To determine

To explain: The central limit theorem applicable on x¯ distribution.

(b)

To determine

To find: The probability that x¯ will be lower than 6820.

(c)

To determine

Whether we recommended that additional fact should be obtained or the worker's claims be dismissed.

Answer 6

Chapter 9, Problem 6CRP

(a)

To determine

To explain: The central limit theorem applicable on x¯ distribution.

Answer 7

Chapter 9, Problem 6CRP

(a)

To determine

To explain: The central limit theorem applicable on x¯ distribution.

Answer 8

(b)

To determine

To find: The probability that x¯ will be lower than 6820.

Answer 9

(b)

To determine

To find: The probability that x¯ will be lower than 6820.

Answer 10

(c)

To determine

Whether we recommended that additional fact should be obtained or the worker's claims be dismissed.

Answer 11

(c)

To determine

Whether we recommended that additional fact should be obtained or the worker's claims be dismissed.

Answer 12

Expert Solution & Answer

Answer 13

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Answer 14

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Answer 15

The central limit theorem applicable on x ¯ distribution.

Solution Summary: The author explains the central limit theorem applicable to stackrel x distribution.

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To explain: The central limit theorem applicable on x¯ distribution.

To find: The probability that x¯ will be lower than 6820.

Whether we recommended that additional fact should be obtained or the worker's claims be dismissed.

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