A random sample of n measurements was selected from a population with unknown meanμand standard deviationσ=15for each of the situations in parts a through d. Calculate a99%confidence interval forμfor each of these situationsd.n=110,x=5.97e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a through d? Explain.

Given data: n = 110 X = 5.97 Confidence level = 99% To calculate 99% confidence interval

Answered: A random sample of n measurements was…

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 random sample of n measurements was selected from a population with unknown mean

and standard deviation

σ=15

for each of the situations in parts a through d. Calculate a

99%

confidence interval for

for each of these situations

n=110,

x=5.97

e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a through d? Explain.

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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