The mean NAEP mathematics score (on a scale of 0 to 500) for the 1014 students in the 2014 sample with at least one parent who graduated from college was 317, with a standard deviation of 28.6. The 2014 sample contained 410 students whose parents’ highest level of education was high school graduate.  The mean score for these students was 295, with a standard deviation of 22.3.  Is there evidence that the mean score for the students with at least one parent graduating from college is higher than the mean for the students with parents whose highest level of education was high school?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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  1. The mean NAEP mathematics score (on a scale of 0 to 500) for the 1014 students in the 2014 sample with at least one parent who graduated from college was 317, with a standard deviation of 28.6. The 2014 sample contained 410 students whose parents’ highest level of education was high school graduate.  The mean score for these students was 295, with a standard deviation of 22.3.  Is there evidence that the mean score for the students with at least one parent graduating from college is higher than the mean for the students with parents whose highest level of education was high school? 
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