Answered: A sample of 25 observations is taken…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

A sample of 25 observations is taken from a process (an infinite population). The sampling distribution of p̄ is _____.

a. approximately normal if np ≥ 5 and n(1 – p) ≥ 5

b. not normal since n < 30

c. approximately normal if np > 30 and n(1 – p) > 30

d. approximately normal because p̄ is always normally distributed

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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