Answered: Can a normal distribution be used for…

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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Question

#6 Basic Computation: Testing p A random sample of 60 binomial trials resulted in 18
successes. Test the claim that the population proportion of successes exceeds 18%. Use a level
of significance of 0.01.

(a) Can a normal distribution be used for the ? distribution? Explain.

(b) State the hypotheses.
(c) Compute ? and the corresponding standardized sale test statistic.
(d) Find the P-value of the test statistic.
(e) Do you reject or fail to reject the H0 ? Explain.
(f) What do the results tell you?

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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