Answered: A simple random sample of size 41 is…

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

A simple random sample of size 41 is drawn from a normal population whose standard deviation is σ=2σ=2. The sample mean is ¯x=16.5x¯=16.5.

a.) Construct a 92% confidence interval for μμ. (Round answers to two decimal place.)

margin of error:
lower limit:
upper limit:

b.) If the population were not normally distributed, what conditions would need to be met? (Select all that apply.)

σσ is unknown
simple random sample
the population needs to be uniformly distributed
the population needs to be normally distributed
σσ is known
large enough sample size n
systematic sampling

Is the result in part a.) valid?

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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