Manhattan College is evaluating a new English composition course for freshman. A random sample of n = 25 freshman is obtained and the students are placed in the course during their first semester. One year later, a writing sample is obtained for each student and the writing samples are graded using a standardized evaluation technique. The average score for the sample is M = 76. For the general population of college students, writing scores form a normal distribution with a mean of μ = 70 and a standard deviation of σ = 20.What are the independent and dependent variables?Using symbols, state the hypotheses for the type of test you indicated in part b. (H0and H1)Sketch the appropriate distribution and locate the critical region for α = .05 for the type of test you indicated in part b.Test the researcher’s hypothesis using the appropriate statistic.What decision should be made about the null hypothesis? Be sure to use the correct language when answering this question.Compute Cohen’s dto measure the size of the effect. Is it a small, medium or large effect?Write a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear in a research report.

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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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Manhattan College is evaluating a new English composition course for freshman. A random sample of n = 25 freshman is obtained and the students are placed in the course during their first semester. One year later, a writing sample is obtained for each student and the writing samples are graded using a standardized evaluation technique. The average score for the sample is M = 76. For the general population of college students, writing scores form a normal distribution with a mean of μ = 70 and a standard deviation of σ = 20.

What are the independent and dependent variables?
Using symbols, state the hypotheses for the type of test you indicated in part b. (H₀and H₁)
Sketch the appropriate distribution and locate the critical region for α = .05 for the type of test you indicated in part b.
Test the researcher’s hypothesis using the appropriate statistic.
What decision should be made about the null hypothesis? Be sure to use the correct language when answering this question.
Compute Cohen’s dto measure the size of the effect. Is it a small, medium or large effect?
Write a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear in a research report.

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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