The National Assessment of Educational Progress ( NAEP) includes a mathematics test for eigth-grade students. Scores on the test range from 0 to 500. Suppose that you give the NAEP test to an SRS of 800 8th-graders from a large population in which the scores have mean 299 and standard deviation 128 . The mean x¯¯¯ will vary if you take repeated samples. The sampling distribution of x¯¯¯ is approximately Normal. It has mean 299 . What is its standard deviation (±0.001)?
Solution :
Given that ,
mean = = 299
standard deviation = = 128
n = 800
= = 299
= / n = 128 / 800 = 4.525
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