Question

50545862667014Test ScoresUse the Empinical Rule to answer the following questions.a. The mean is 62b. The standard deviation isc.% of the test scores are between 58 and 66.d. 34X % of the test scores are between 54 and 70.% of the test scbyes are between 50 and 74.e.sebesfi% of the test scores are between 62 and 66.g.% of the test scores are less than 62.h.% of the test scores are less than 66.

Answer 1

• B. 4

,

• C. 68.269%

,

• D. 95.45%

,

• E. 99.73%

,

• F. 34.134%

,

• H. 84.134%

Step-by-step 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

`\begin{gathered} \sigma=62-58=66-62 \\ \sigma=4 \end{gathered}`

Part C: Between 58 and 66

Part H: Less than 66.

`\begin{gathered} P(x<(66-62)/(4)) \\ =P(x<(4)/(4))=P(x<1) \\ =0.84134 \\ =84.134\% \end{gathered}`