The brain volumes (cm) of 20 brains have a mean of 1129.6 cm and a standard devi

Question

The brain volumes (cm) of 20 brains have a mean of 1129.6 cm and a standard deviation of 125.8 cm". 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 1351.2 cm be significantly high? Significantly low values arecm orlower. Type an integer or a decimal. Do not round.) Significantly high values arecm or higher. (Type an integer or a decimal. Do not round.) Is 1351.2 cm significantly high? OA. Yes, because it is below the lower limit separating value O B. No, because it is between the limits separating values. ° C. Yes, because it is above the upper limit separating value. D. No, because it is above the upper limit separating value. O E. No, because it is below the lower limit separating value. O F. Yes, because it is between the limits separating values

Explanation / Answer

Significantly Low:

The data points for which the z value is less than -2

=> ( X - 1129.6) / 125.8 < -2

=> X < 878

=> Significantly low values are 878 cm^3 or lower

Significantly High:

The data points for which the z value is more than 2

=> ( X - 1129.6) / 125.8 > 2

=> X > 1381.2

=> Significantly high values are 1381.2 cm^3 or higher

1351.2 cm^3 is not significantly high as it is between the limit separating values. (B)

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