1615 The National Assessment of Educational Progress NAEP i
(16.15) 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 1000 8th-graders from a large population in which the scores have mean 264 and standard deviation 118. The mean x¯ will vary if you take repeated samples.
The sampling distribution of x¯ is approximately Normal. It has mean 264.
What is its standard deviation (±0.001)?
| (16.15) 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 1000 8th-graders from a large population in which the scores have mean 264 and standard deviation 118. The mean x¯ will vary if you take repeated samples. The sampling distribution of x¯ is approximately Normal. It has mean 264. What is its standard deviation (±0.001)? | 
Solution
= 118 / Sqrt ( 1000 )
= 3.7314

