A random sample of 70 observations produced a mean off x =24.1 from a population with a normal distribution and a standard deviation σ=3.68. (a) Find a 90% confidence interval for μΣμς(b) Find a 95% confidence interval for μ<μς(c) Find a 99% confidence interval for μ<μς A random sample of 70 observations produced a mean of x = 24.1 from a population with a normal distribution and ad deviation o= 3.68.

The sample size is 70, the sample mean is 24.1 and the population standard deviation is 3.68.

Answered: (a) Find a 90% confidence interval 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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A random sample of 70 observations produced a mean off x =24.1 from a population with a normal distribution and a standard deviation σ=3.68.

(a) Find a 90% confidence interval for μ
Σμς
(b) Find a 95% confidence interval for μ
<μς
(c) Find a 99% confidence interval for μ
<μς

A random sample of 70 observations produced a mean of x = 24.1 from a population with a normal distribution and a
d deviation o= 3.68.

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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