Answered: A researcher begins with a known…

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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A researcher begins with a known population-in this case, scores on a standardized test that are normally distributed with µ = 82.3 and σ = 15. The researcher suspects that special training in reading skills will produce an increased change in the scores for the individuals in the population. Because it is not feasible to administer the treatment (the special training) to everyone in the population, a sample of n=25 individuals is selected, and the treatment is given to this sample. Following treatment, the average score for this sample is x ̅ =86. Is there evidence that the training has an effect on test scores? Perform a one-way directional test and complete the 5 step process. (α=.05)

H0: µ=

Ha:µ>

Ztest=

p-value=

critical Value =

Fail to reject or Reject the

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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