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14. The scores on a standardized mathematics test for 8th-grade children in New York State form a normal distribution with a mean of u deviation of o 70 and a standard 10. a. What proportion of the students in the state have scores less than X = 75? b. If samples of n = tion, what proportion of the samples will have 4 are selected from the popula- %3D means less than M = 75? = 25 are selected from the popu- c. If samples of n = lation, what proportion of the samples will have means less than M = 75? %3D

14. The scores on a standardized mathematics test for 8th-grade children in New York State form a normal distribution with a mean of u deviation of o 70 and a standard 10. a. What proportion of the students in the state have scores less than X = 75? b. If samples of n = tion, what proportion of the samples will have 4 are selected from the popula- %3D means less than M = 75? = 25 are selected from the popu- c. If samples of n = lation, what proportion of the samples will have means less than M = 75? %3D

MATLAB: An Introduction with Applications
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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**Transcription: Educational Website Content** --- **14. Statistical Analysis of Standardized Test Scores** The scores on a standardized mathematics test for 8th-grade children in New York State form a normal distribution with: - Mean (\( \mu \)) = 70 - Standard deviation (\( \sigma \)) = 10 Questions: **a.** What proportion of the students in the state have scores less than \( X = 75 \)? **b.** If samples of \( n = 4 \) are selected from the population, what proportion of the samples will have means less than \( M = 75 \)? **c.** If samples of \( n = 25 \) are selected from the population, what proportion of the samples will have means less than \( M = 75 \)? --- Each of these questions involves understanding the concept of the normal distribution and applying the standard normal distribution (z-scores) to find the relevant probabilities.
Transcribed Image Text:**Transcription: Educational Website Content** --- **14. Statistical Analysis of Standardized Test Scores** The scores on a standardized mathematics test for 8th-grade children in New York State form a normal distribution with: - Mean (\( \mu \)) = 70 - Standard deviation (\( \sigma \)) = 10 Questions: **a.** What proportion of the students in the state have scores less than \( X = 75 \)? **b.** If samples of \( n = 4 \) are selected from the population, what proportion of the samples will have means less than \( M = 75 \)? **c.** If samples of \( n = 25 \) are selected from the population, what proportion of the samples will have means less than \( M = 75 \)? --- Each of these questions involves understanding the concept of the normal distribution and applying the standard normal distribution (z-scores) to find the relevant probabilities.
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