Answered: A psychologist develops an intervention…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 25PPS

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A psychologist develops an intervention designed to reduce test anxiety associated with taking the SAT. The psychologist claims that reduced test anxiety will lead to higher scores on the quantitative section of the SAT. Because she believes all students experience some degree of anxiety related to the SAT, she further claims her intervention should work for all students, not just those who report abnormal levels of test anxiety. She randomly selects 30 high school juniors, and with the consent of their parents, delivers her intervention. Subsequently, these students take the SAT, and she collects their scores. The quantitative section of the SAT has a mean of 500 and a standard deviation of 100 in the general population, and scores are normally distributed. a. What type of test should be used to analyze her data? i. Z-test ii. Single-sample t-test iii. Independent-measures t-test iv. Repeated-measures t-test b. What would the hypotheses be?

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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