Many states assess the skills of their students in various g

Many states assess the skills of their students in various grades. One program that is available for this purpose is the National Assessment of Educational Progress (NAEP). For eighth-grade students the average music score is approximately Normal with mean 142 and the standard deviation 33 .

(a) Make a table that includes the values (+-0.01) of the scores corresponding to plus or minus one, two, and three standard deviations from the mean. (Low & High)

(b) Make a table that includes intervals (+-0.01) of scores, where approximately 68%, 95%, and 99.7% of the average music scores fall. (Low & High)

Solution

a) Table for plus or minus 1,2,3 standard deviations from mean

b)

A table that includes intervals (+-0.01) of scores, where approximately 68%, 95%, and 99.7% of the average music scores fall. (Low & High) is