The brain volumes (cm cubed ) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed. Use the given standard deviation 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 1411.8 cm cubed be significantly high?

Yes, the value 1411.8 cm³ is significantly high.

Step-by-step explanation:

Consider the provided information.

The brain volumes (cm cubed ) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed.

The range rule of thumb to identify the limits separating values that are significantly low or significantly high is:

The range rule of thumb identifying significant values are as.

Significantly low values are μ-2σ

Substitute the μ = 1111.2 and σ = 125.3 in above formula.

1111.2-2 (125.3) = 860.6

Significantly high values are μ+2σ

Substitute the μ = 1111.2 and σ = 125.3 in above formula.

1111.2+2 (125.3) = 1361.8

The value is significantly high due to the value 1411.8 cm³ is not lie between the values 860.6 cm³ and 1361.8 cm³.

Hence, Yes, the value 1411.8 cm³ is significantly high.