We appreciate your visit to Test Scores Use the Empirical Rule to answer the following questions a The mean is 62 b The standard deviation is c What percentage of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
• B. 4
,• C. 68.269%
,• D. 95.45%
,• E. 99.73%
,• F. 34.134%
,• H. 84.134%
Explanation:
The empirical rule tells us that:
• Around 68% of scores are within 2 standard deviations of the mean,
,• Around 95% of scores are within 4 standard deviations of the mean,
,• Around 99.7% of scores are within 6 standard deviations of the mean.
Part B
[tex]\begin{gathered} \sigma=62-58=66-62 \\ \sigma=4 \end{gathered}[/tex]Part C: Between 58 and 66
[tex]\begin{gathered} P(\frac{58-62}{4}Part D: Between 54 and 70.[tex]\begin{gathered} P(\frac{54-62}{4}Part E: Between 50 and 74.[tex]\begin{gathered} P(\frac{50-62}{4}Part F: Between 62 and 66.[tex]\begin{gathered} P(\frac{62-62}{4}Part G: Less than 62.[tex]\begin{gathered} P(x<\frac{62-62}{4}) \\ =P(x<0) \\ =0.5 \\ =50\% \end{gathered}[/tex]Part H: Less than 66.
[tex]\begin{gathered} P(x<\frac{66-62}{4}) \\ =P(x<\frac{4}{4})=P(x<1) \\ =0.84134 \\ =84.134\% \end{gathered}[/tex]Thanks for taking the time to read Test Scores Use the Empirical Rule to answer the following questions a The mean is 62 b The standard deviation is c What percentage of. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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