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.

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.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

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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