Range Rule of Thumb for Interpreting s The 20 brain volumes (cm^{3}) from Data Set 8 “IQ and Brain Size” in Appendix B have a mean of 1126.0 cm^{3} an

Question

Range Rule of Thumb for Interpreting s The 20 brain volumes

(c m^{3})

from Data Set 8 “IQ and Brain Size” in Appendix B have a mean of

1126.0 c m^{3}

and a standard deviation of

124.9 c m^{3}

. Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of

1440 c m^{3}

be significantly high?

Answer 1

Step 1
Range rule of thumb for identifying the significantly low or high values:
Significantly low values are identify by $μ - 2 σ$ . The values lower than or equal to this $μ - 2 σ$ value are considered to be significantly low.
Significantly high values are identify by $μ + 2 σ$ . The values higher than or equal to this $μ + 2 σ$ value are considered to be significantly high.
Step 2
Here, the significantly low and high values are calculated below:
$Signinficantly low = 1.125 - 2 (124.9) = 875.2$
$Signinficantly high = 1.125 + 2 (124.9) = 1374.8$
Step 3
Thus, the given value of brain volume with $1, 440 c m^{3}$ is significantly high because it is greater than $1, 374.8 c m^{3}$ .

Range Rule of Thumb for Interpreting s The 20 brain volumes (cm^{3}) from Data Set 8 “IQ and Brain Size” in Appendix B have a mean of 1126.0 cm^{3} an

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