A random sample of size n is chosen from a normally distributed population with a mean of µ and known standard deviation 6.a) Compute a 95% CI for µ if the sample mean is 41 and n = 25.b) Compute a 95% CI for µ if the sample mean is 41 and n is 49.c) What sample size is needed to create a 95% CI for µ with a width that is no greater than 2?d) Check your work by calculating a 95% CI for µ given x = 41 using the sample size from part c).

We have to find different ci for mue.

Answered: A random sample of size n is chosen…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A random sample of size n is chosen from a normally distributed population with a mean of µ and known standard deviation 6.

a) Compute a 95% CI for µ if the sample mean is 41 and n = 25.
b) Compute a 95% CI for µ if the sample mean is 41 and n is 49.
c) What sample size is needed to create a 95% CI for µ with a width that is no greater than 2?
d) Check your work by calculating a 95% CI for µ given x = 41 using the sample size from part c).

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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