We want to estimate the mean change in score µ in the population of all high sch

Question

We want to estimate the mean change in score µ in the population of all high school seniors. An SRS of 400 high school seniors gained an average of x¯ = 25 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation 54.696 .

Find xx¯, the standard deviation of the mean change x¯. (±±0.001).

Using the 68-95-99.7 Rule (Empirical Rule), give a 68 % confidence interval for based on this sample.

Confidence interval (±±0.001) is between ______ and_______

Explanation / Answer

here for std error =std deviaition/(n)1/2 =2.7348

and 98% values lie in b/w 1 std deviation away from mean

hence Confidence interval (±±0.001) is between 25-2.7348 and 25+2.7348 =22.265 and 27.735

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