Question

The brain volumes (㎤) of 20 brains have a mean of 1194.1㎤ and a standard deviation of 121.6㎤. Use the given standard deviabon and 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 1477.3㎤ be significantly high?

Answer 1

The limits for significantly low or significantly high values can be calculated using the range rule of thumb. A brain volume of 1477.3㎤ would be significantly high.

Step-by-step explanation:

To identify the limits separating significantly low or significantly high values using the range rule of thumb, we can use the formula:

Lower Limit = Mean - (1.5 * Standard Deviation)

Upper Limit = Mean + (1.5 * Standard Deviation)

Substituting the given values:

Lower Limit = 1194.1 - (1.5 * 121.6) = 1194.1 - 182.4 = 1011.7

Upper Limit = 1194.1 + (1.5 * 121.6) = 1194.1 + 182.4 = 1376.5

A brain volume of 1477.3㎤ would be significantly high as it falls outside the upper limit of 1376.5㎤.