The mean weight of a box of cereal filled by a machine is 22.0 ounces, with a standard deviation of 0.65 ounce. These weights are assumed to be normally distributed.Match the following up correctly.Approximately 68% of the boxes weight between _____ ounces and ______ ounces.Answer 1Choose...20.70 and 23.3021.35 and 22.6520.05 and 23.95Approximately 95% of the boxes weight between _____ ounces and ______ ounces.Answer 2Choose...20.70 and 23.3021.35 and 22.6520.05 and 23.95Approximately 99% of the boxes weight between _____ ounces and ______ ounces.Answer 3Choose...20.70 and 23.3021.35 and 22.6520.05 and 23.95

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Description: The mean weight of a box of cereal filled by a machine is 22.0 ounces, with a standard deviation of 0.65 ounce. These weights are assumed to be normally distributed.Match the following up correctly.Approximately 68% of the boxes weight between _____

Let, X: The weight of a box of cereal filled by a machine. Given: The mean weight of a box of cereal…

Answered: The mean weight of a box of cereal…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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The mean weight of a box of cereal filled by a machine is 22.0 ounces, with a standard deviation of 0.65 ounce. These weights are assumed to be normally distributed.

Match the following up correctly.

Approximately 68% of the boxes weight between _____ ounces and ______ ounces.	Answer 1Choose...20.70 and 23.3021.35 and 22.6520.05 and 23.95
Approximately 95% of the boxes weight between _____ ounces and ______ ounces.	Answer 2Choose...20.70 and 23.3021.35 and 22.6520.05 and 23.95
Approximately 99% of the boxes weight between _____ ounces and ______ ounces.	Answer 3Choose...20.70 and 23.3021.35 and 22.6520.05 and 23.95

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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