Normal Distribution Weights (in pounds) of Regular Coke are listed below. Although the mean and standarddeviation are sample statistics, assume that they are population parameters for all cansof regular Coke.0.81920.82510.8247 0.81890.81520.8264 0.8126 0.81940.81630.79010.8295 0.81760.81940.8244 0.8244 0.82840.82110.8073 0.8161 0.81650.81100.80790.8192 0.81430.82070.8044 0.8062 0.81500.81500.8170 0.8128 0.82290.81810.81610.8172 0.8152a. Determine the mean and standard deviation of the weights of regular coke. Usethe sample standard deviation formula.b. If a can of regular Coke is randomly selected, find the probability that itscontents weigh more than 0.8300 lb.C.Forpurposesof monitoring Coke production in the future, find the weightsseparating the bottom 10% and top 10%.

Given: n = 36 Formula Used: Mean X = ∑Xin Sample standard deviation S = ∑(Xi-X)2n-1 Z-Score = Xi-XS…

Answered: Weights (in pounds) of Regular Coke are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Normal Distribution

Weights (in pounds) of Regular Coke are listed below. Although the mean and standard
deviation are sample statistics, assume that they are population parameters for all cans
of regular Coke.
0.8192
0.8251
0.8247 0.8189
0.8152
0.8264 0.8126 0.8194
0.8163
0.7901
0.8295 0.8176
0.8194
0.8244 0.8244 0.8284
0.8211
0.8073 0.8161 0.8165
0.8110
0.8079
0.8192 0.8143
0.8207
0.8044 0.8062 0.8150
0.8150
0.8170 0.8128 0.8229
0.8181
0.8161
0.8172 0.8152
a. Determine the mean and standard deviation of the weights of regular coke. Use
the sample standard deviation formula.
b. If a can of regular Coke is randomly selected, find the probability that its
contents weigh more than 0.8300 lb.
C.
For
purposes
of monitoring Coke production in the future, find the weights
separating the bottom 10% and top 10%.

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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