Answered: Why is it necessary to check that np≥5…

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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Why is it necessary to check that np≥5 and nq≥5?

A. It is necessary to check that np≥5 and nq≥5 to be certain that the minimum value of the sample size, n, is met.

B. It is necessary to check that np≥5 and nq≥5 because, if either of the values are less than 5, the distribution may not be normally distributed, thus zc cannot be used to calculate the confidence interval.

C. It is necessary to check that np≥5 and nq≥5 because the confidence intervals estimating the population proportions will overlap if these values are less than 5.

D. It is necessary to check that np≥5 and nq≥5 because, if either of the values are less than 5, the tails on either side of the left and right endpoints are not accounted for.

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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