Answered: Suppose a 90% confidence interval for μ…

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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Suppose a 90% confidence interval for μ turns out to be (1000, 2100). If this interval was based on a sample of
size n = 25, explain what assumptions are necessary for this interval to be valid.

a:The sampling distribution of the sample mean must have a normal distribution.

b:The population must have an approximately normal distribution.

c:The population of salaries must have an approximate t distribution.

d:The sampling distribution must be biased with 24 degrees of freedom.

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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