Answered: telescope measures the brightness of a…

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 telescope measures the brightness of a sar 17 times. Let these brightness measurements be X1,... X17. Assume brightness measurements are normally distributed with a mean of mu. Astronomers would like to determine whether there is evidence that the mean brightness of the star i something other than 14.

Suppose x bar is 13 and s=2.1. For an alpha=0.05 test, what is the p-value? Let Tj be a random variable with a T distribution with j degrees of freedom.

Answer= P(|T16|>1.96) but how do you get there????

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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