Explanation Given information : Sample size is 50 bags ,mean is 10.30 pounds and standard deviation of 0.1 pounds. Calculation: Let uschoose a random variable x to describe the normal distribution of a bag. x ∼ N ( 10.3 , 0.1 50 ) μ = 10.3 and σ n = 0.1 50 σ n = 0.002 σ n = 0.04472135955 σ n = 0.045 To find the probability P ( x > 10 ) we use the normal curve as below. The Z-score can be calculated as below. Substitute x = 10 , μ = 10.3 , σ n = 0.045 X = x − μ σ / n z = 10 − 10

Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561

3rd Edition

ISBN: 9781259969454

Author: William Navidi Prof.; Barry Monk Professor

Publisher: McGraw-Hill Education

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A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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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 7.3, Problem 32E

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To Calculate: The probability that a randomly chosen bag weight more than ten pounds.

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Chapter 7.3, Problem 31E

Chapter 7.3, Problem 33E

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The probability that a randomly chosen bag weight more than ten pounds.

Solution Summary: The author calculates the probability that a randomly chosen bag weight more than ten pounds using the central limit theorem.

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To Calculate: The probability that a randomly chosen bag weight more than ten pounds.

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