Confidence interval for mu The National Education Longitudinal Survey (NELS) tra

Question

Confidence interval for mu The National Education Longitudinal Survey (NELS) tracks a representative samples of U.S. students from eighth grade through high school and college. One study conducted by NELS involved 256 students who paid a private tutor to help them improve their scores on the SAT. From the sample of 256 students, the mean increase in the score on the SAT Math portion of the test was 19 points with a sample standard deviation of 65 points. Construct a 95% confidence interval for the population mean change in SAT-Math scores for students who pay a private tutor. Perform the 4 C's analysis for this study.

Explanation / Answer

From information given, dbar=19, sd=65, N=256

The 95% c.i=dbar+-t255(sd/sqrt N)

=19+-1.960(65/sqrt 256)

=11.0375 to 26.9625

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