Answered: We are 90.85% confident that the mean…

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

The distribution of study times for first year students follows a Normal distribution with standard deviation σσ = 65 minutes. Suppose a sample of 350 students found that the mean study time for these students was x¯x¯= 189 minutes per week. Use this to find a 90.85% confidence interval to estimate the mean study time for all students.

We are 90.85% confident that the mean study time for first year students is between

minutes and minutes.

What is the margin of error for your confidence interval?

Margin of error =

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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