Question

the brain volumes (cm³) of 20 brains have a mean of 1052.2 cm³ and a standard deviation of 124.9 cm³. 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 1272.0 cm³ be significantly high? significantly low values are 802.4 cm³ or lower. (type an integer or a decimal. do not round.) significantly high values are 1302 cm³ or higher. (type an integer or a decimal. do not round.) is 1272.0 cm³ significantly high? a. yes, because it is between the limits separating values. b. no, because it is below the lower limit separating value. c. no, because it is above the upper limit separating value. d. no, because it is between the limits separating values. e. yes, because it is above the upper limit separating value. f. yes, because it is below the lower limit separating value.

Explanation:

Step1: Identify significant - low and high limits

Significantly low values are $802.4\ cm^{3}$ or lower, and significantly high values are $1302\ cm^{3}$ or higher.

Step2: Compare the given value

The given brain - volume is $1272.0\ cm^{3}$. Since $802.4<1272.0 < 1302$, it is between the limits separating values.

Answer:

D. No, because it is between the limits separating values.