In a research study on test scores for a certain subject, the scores were normally distributed with a mean of 75 and a standard deviation of 7. If a researcher wants to identify the proportion of participants who scored between 80 and 90, calculate that proportion would get a B.A normal distribution curve, marking the mean and standard deviations. Shade the area that corresponds to scores between 80 and 90.find the proportion of participants in that range.State the proportion found and discuss:result implies about the participants' performance.

Step 1: Shade the area under a normal curve (we know we need a normal curve since it is stated that…

Answered: In a research study on test scores for…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 5CR

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In a research study on test scores for a certain subject, the scores were normally distributed with a mean of 75 and a standard deviation of 7. If a researcher wants to identify the proportion of participants who scored between 80 and 90, calculate that proportion would get a B.

A normal distribution curve, marking the mean and standard deviations. Shade the area that corresponds to scores between 80 and 90.
find the proportion of participants in that range.
State the proportion found and discuss:result implies about the participants' performance.

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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