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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Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores:

Grades	83.2	69	65	64.3	64.3	74.4	69	73.5	62.7	61.9

Test grades are believed to be normally distributed.

Use a significance level of 5%.

A. State the alternative hypothesis: HA:HA:

μ≠65μ≠65
μ>65μ>65
μ<65μ<65

B. State the mean of the sample: (Round answer to two decimal places.) ________

C. State the standard error of the sample means: (Round answer to four decimal places.) ________

D. State the test statistic: t= _______ (Round answers to three decimal places.

E. State the p-value: _________ (Round answers to three decimal places.)

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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