Answered: a) Does the "mean" of the sampling…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 2E

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a) Does the "mean" of the sampling means always equal to that of the population mean? Discuss

b) As the size of the sample increases, the sampling distribution of the sample means is approximately normal. Why? Explain

c. What is the Central Limit Theorem? How large should the sample size be if the underlying distribution of the population values are:

i) Normally distributed (discuss).

ii) Non-normally distributed. (discuss)

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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