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Range Rule of Thumb for Interpreting s The 20 brain volumes (cm3 ) from Data Set 8 鈥淚Q and Brain Size鈥 in Appendix B have a mean of 1126.0 cm3 and a standard deviation of 124.9 cm3. 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 cm3 be significantly high?

Short Answer

Expert verified

According to the range rule of thumb, values that lie above 1375.8cm3 are significantly high, and values that lie below 876.2 cm3are significantly low.

The value of the brain volume equal to 1440 will be significantly high.

Step by step solution

01

Given information

The total brain volume (in cm3) of 20 twins is proved in the dataset.

The mean volume is equal to 1126.0 cm3.

The standard deviation is equal to 124.9 cm3.

02

Identifying the limits 

The significant values of mathematical data can be identified using the range rule of thumb, which states that values

  • equal to or less than- are considered to be significantly low values.
  • equal to or greater than+ are considered to be significantly high values.
  • between -and + are not considered to be significant values.

Here, stands for the mean of the data, and stands for the standard deviation of the data.

So, the limits become as shown below:

Lower limit:

-2=1126.0-2124.9=1126.0-249.8=876.2.

Upper limit:

.+2=1126+2124.9=1126+249.8=1375.8

For the given brain volumes, the limit-separating values are , which implies that the values below 876.2 cm3are significantly low, and those above 1375.8 cm3are significantly high.

03

Checking for significance

If the value lies between the limits, it is not significant, and if it lies beyond the limits, it is significant.

The total brain volume equal to 1440cm3 lies beyond the upper limit of 1375.8cm3 . Therefore, it is significantly high.

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