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Find the z-score for the height of 58 inches

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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.

Reference no: EM132855329

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