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The National Assessment of Educational Progress (NAEP) administered a reading test to a nationwide probability sample...

The National Assessment of Educational Progress (NAEP) administered a reading test to a nationwide probability sample of 9-year-olds in 2010. The same test was administered to an independently chosen sample of 9-year-olds in 2020. There appears to have been some improvement: in 2010, the average score was 68.3 out of 100, while in 2020 the average score was 69.0 out of 100. Or could this be explained as a chance variation? Explain your reasoning. You may assume the NAEP took independent simple random samples in 2010 and 2020; there were 1,600 children in each sample, and in both years the standard deviation of the scores was about 14 points out of 100.

(does it being out of 100 change anything?)

Math   Statistics-And-Probability   
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