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Math Statistics Elementary Statistics (13th Edition)

Coke Cans Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz. a. Find the probability that a single can of Coke has at least 12.19 oz. b. The 36 cans of Coke in Data Set 26 “Cola Weights and Volumes” in Appendix B have a mean of 12.19 oz. Find the probability that 36 random cans of Coke have a mean of at least 12.19 oz. c. Given the result from part (b), is it reasonable to believe that the cans are actually filled with a mean equal to 12.00 oz? If the mean is not equal to 12.00 oz, are consumers being cheated?

Coke Cans Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz. a. Find the probability that a single can of Coke has at least 12.19 oz. b. The 36 cans of Coke in Data Set 26 “Cola Weights and Volumes” in Appendix B have a mean of 12.19 oz. Find the probability that 36 random cans of Coke have a mean of at least 12.19 oz. c. Given the result from part (b), is it reasonable to believe that the cans are actually filled with a mean equal to 12.00 oz? If the mean is not equal to 12.00 oz, are consumers being cheated?

Elementary Statistics (13th Edition)

Elementary Statistics (13th Edition)

13th Edition

ISBN: 9780134462455

Author: Mario F. Triola

Publisher: PEARSON

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Textbook Question

Chapter 6.4, Problem 16BSC

Coke Cans Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz.

a. Find the probability that a single can of Coke has at least 12.19 oz.

b. The 36 cans of Coke in Data Set 26 “Cola Weights and Volumes” in Appendix B have a mean of 12.19 oz. Find the probability that 36 random cans of Coke have a mean of at least 12.19 oz.

c. Given the result from part (b), is it reasonable to believe that the cans are actually filled with a mean equal to 12.00 oz? If the mean is not equal to 12.00 oz, are consumers being cheated?

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.

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Chapter 6.4, Problem 15BSC

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Chapter 6 Solutions

Elementary Statistics (13th Edition)

Ch. 6.1 - Normal Distribution Whats wrong with the following...Ch. 6.1 - Normal Distribution A normal distribution is...Ch. 6.1 - Standard Normal Distribution Identify the two...Ch. 6.1 - Notation What does the notation z indicate?Ch. 6.1 - Continuous Uniform Distribution. In Exercises 58,...Ch. 6.1 - Continuous Uniform Distribution. In Exercises 58,...Ch. 6.1 - Continuous Uniform Distribution. In Exercises 58,...Ch. 6.1 - Continuous Uniform Distribution. In Exercises 58,...Ch. 6.1 - Standard Normal Distribution. In Exercises 912,...Ch. 6.1 - Standard Normal Distribution. In Exercises 912,...

Ch. 6.1 - Standard Normal Distribution. In Exercises 912,...Ch. 6.1 - Standard Normal Distribution. In Exercises 912,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1316,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1316,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1316,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1316,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.1 - Finding Bone Density Scores. In Exercises 3740...Ch. 6.1 - Finding Bone Density Scores. In Exercises 3740...Ch. 6.1 - Finding Bone Density Scores. In Exercises 3740...Ch. 6.1 - Finding Bone Density Scores. In Exercises 3740...Ch. 6.1 - Critical Values. In Exercises 4144, find the...Ch. 6.1 - Critical Values. 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