Suppose that a bag of cement has weight that are normally distributed with a mean of 50 kg and a standard deviation of 1 kg. If a random sample of ten bags of cement is taken, the sample mean of the bag weight: Is less likely to be larger than 50 than smaller than 50 Is equally likely to be smaller or larger than 50Is more likely to be larger than 50 than smaller than 50Will be equal to 50.

Given Information: Mean μ=50 Standard deviation σ=1 Sample size n=10

Answered: Suppose that a bag of cement has weight…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that a bag of cement has weight that are normally distributed with a mean of 50 kg and a standard deviation of 1 kg. If a random sample of ten bags of cement is taken, the sample mean of the bag weight:

Is less likely to be larger than 50 than smaller than 50
Is equally likely to be smaller or larger than 50
Is more likely to be larger than 50 than smaller than 50
Will be equal to 50.

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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