Please use the following information to answer 11d-11e: Montarello and Martens (2005) found that fifth-grade students completed more matematics problems correctly when simple problems were mixed in with their regular math assignments. To further explore this phenomenon, suppose that a researcher selects a standardized mathematics acheivement test that produces a normal distribution of scores with a mean of µ = 100 and a standard deviation of σ = 18. The researcher modifies the test by inserting a set of very easy problems among the standardized questions, and gives the modified test to a sample of n = 36 students. If the average test score for the sample is x̅ = 104, is this result sufficient to conclude that inserting the easy questions improves performance? Use a one-tailed test with α = .01. 11d. Based on the calculated test statistic, would you reject the null hypothesis established in question 11a (MUST SHOW WORK FOR THIS PROBLEM)? yes no 11e. Based on the previously conducted steps, we can conclude (MUST SHOW WORK FOR THIS PROBLEM): Group of answer choices: a. Performance was significantly improved when adding easy questions to a standardized mathematics achievement test. b. Performance was not significantly improved when adding easy questions to a standardized mathematics achievement test. c. Performance was unaffected/remained stable when adding easy questions to a standardized mathematics achievement test. d. Performance was significantly different when adding easy questions to a standardized mathematics achievement test.

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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Please use the following information to answer 11d-11e:

Montarello and Martens (2005) found that fifth-grade students completed more matematics problems correctly when simple problems were mixed in with their regular math assignments. To further explore this phenomenon, suppose that a researcher selects a standardized mathematics acheivement test that produces a normal distribution of scores with a mean of µ = 100 and a standard deviation of σ = 18. The researcher modifies the test by inserting a set of very easy problems among the standardized questions, and gives the modified test to a sample of n = 36 students. If the average test score for the sample is x̅ = 104, is this result sufficient to conclude that inserting the easy questions improves performance? Use a one-tailed test with α = .01.

11d. Based on the calculated test statistic, would you reject the null hypothesis established in question 11a (MUST SHOW WORK FOR THIS PROBLEM)?

yes

11e. Based on the previously conducted steps, we can conclude (MUST SHOW WORK FOR THIS PROBLEM):

Group of answer choices:

a. Performance was significantly improved when adding easy questions to a standardized mathematics achievement test.

b. Performance was not significantly improved when adding easy questions to a standardized mathematics achievement test.

c. Performance was unaffected/remained stable when adding easy questions to a standardized mathematics achievement test.

d. Performance was significantly different when adding easy questions to a standardized mathematics achievement test.

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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