Solution Found!
NAEP music scores. In Exercise 1.101 (page 61) we examined
Chapter , Problem 1.112(choose chapter or problem)
In Exercise 1.101 (page 61) we examined the distribution of NAEP scores for the twelfth-grade reading skills assessment. For eighth-grade students the average music score is approximately Normal with mean 150 and standard deviation 35.
(a) Sketch this Normal distribution.
(b) Make a table that includes values of the scores corresponding to plus or minus one, two, and three standard deviations from the mean. Mark these points on your sketch along with the mean.
(c) Apply the 68–95–99.7 rule to this distribution. Give the ranges of reading score values that are within one, two, and three standard deviations of the mean.
Questions & Answers
QUESTION:
In Exercise 1.101 (page 61) we examined the distribution of NAEP scores for the twelfth-grade reading skills assessment. For eighth-grade students the average music score is approximately Normal with mean 150 and standard deviation 35.
(a) Sketch this Normal distribution.
(b) Make a table that includes values of the scores corresponding to plus or minus one, two, and three standard deviations from the mean. Mark these points on your sketch along with the mean.
(c) Apply the 68–95–99.7 rule to this distribution. Give the ranges of reading score values that are within one, two, and three standard deviations of the mean.
ANSWER:Step 1 of 4
Let X be the random variable representing the music score of students.
Given that X is follows Normal Distribution with mean 150 and standard deviation 35,
\(\begin{array}{l}
\mu=150 \\
\sigma=35
\end{array}\)