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Name: Records show that the time a person spends for a shower is normally di
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Description: Records show that the time a person spends for a shower is normally distributed. If a random sample of 10 people data has a mean shower time of 15 minutes and a standard deviation of 5 minutes, find a 90% confidence interval for the true mean time sp

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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Records show that the time a person spends for a shower is normally distributed. If a random sample of 10 people data has a mean shower time of 15 minutes and a standard deviation of 5 minutes, find a 90% confidence interval for the true mean time spent in the shower

What distribution is used in constructing confidence intervals in this problem?

What is Maximal Margin of Error (E) at 90% confidence?

Construct a 90% confidence interval

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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