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Are the NAEP U.S. history scores approximately Normal? In
Chapter , Problem 1.116(choose chapter or problem)
Are the NAEP U.S. history scores approximately Normal? In Exercise 1.113, we assumed that the NAEP U.S. history scores for twelfth-grade students are approximately Normal with the reported mean and standard deviation, N(288, 32). Let’s check that assumption. In addition to means and standard deviations, you can find selected percentiles for the NAEP assessments (see previous exercise). For the twelfth-grade U.S. history scores, the following percentiles are reported:
\(\begin{array}{cc}
\hline \text { Percentile } & \text { Score } \\
\hline 10 \% & 246 \\
25 \% & 276 \\
50 \% & 290 \\
75 \% & 311 \\
90 \% & 328 \\
\hline
\end{array}\)
Use these percentiles to assess whether or not the NAEP U.S. history scores for twelfth-grade students are approximately Normal. Write a short report describing your methods and conclusions.
Questions & Answers
QUESTION:
Are the NAEP U.S. history scores approximately Normal? In Exercise 1.113, we assumed that the NAEP U.S. history scores for twelfth-grade students are approximately Normal with the reported mean and standard deviation, N(288, 32). Let’s check that assumption. In addition to means and standard deviations, you can find selected percentiles for the NAEP assessments (see previous exercise). For the twelfth-grade U.S. history scores, the following percentiles are reported:
\(\begin{array}{cc}
\hline \text { Percentile } & \text { Score } \\
\hline 10 \% & 246 \\
25 \% & 276 \\
50 \% & 290 \\
75 \% & 311 \\
90 \% & 328 \\
\hline
\end{array}\)
Use these percentiles to assess whether or not the NAEP U.S. history scores for twelfth-grade students are approximately Normal. Write a short report describing your methods and conclusions.
ANSWER:Step 1 of 2
To assess whether the NAEP U.S. history scores for twelfth-grade students are approximately Normal, we can compare the reported mean and standard deviation, N(288, 32), with the reported percentiles for the same assessment. If the mean and standard deviation reported are correct, we can expect the percentiles to align with their expected values for a Normal distribution.