Answered: Statistics students believe that the…

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

Statistics students believe that the mean score on the first statistics test is 65. A
statistics instructor thinks the mean score is lower than 65. He randomly samples 10
statistics student scores and obtains the scores [62, 54, 64, 58, 70, 67, 63, 59, 69, 64].
He performs a hypothesis test using a 5% level of significance. Draw the graph of the
normal distribution showing the rejection region & indicate your calculated value. State
the null and alternative hypothesis.

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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