Reference no: EM132855329
For 261 female heights, the mean was 64.8 inches and the standard deviation was 3.4 inches. The shortest person in this sample had a height of 58 inches.
(a) Find the z-score for the height of 58 inches.
z = (3 decimal places)
(b) What does the (positive or negative) sign for the z-score represent?
The height is above the mean.
The height is below the mean.
The height is a potential outlier.
The height is not a potential outlier.
(c) Assuming the distribution of heights is approximately bell-shaped, is this observation a potential outlier according to the three standard deviation distance criterion? Explain.
Yes, it is less than 3 standard deviations away from the mean.
Yes, it is more than 3 standard deviations away from the mean.
No, it is less than 3 standard deviations away from the mean.
No, it is more than 3 standard deviations away from the mean.