The distribution of a sample of the outside diameters of PVC pipes approximates a symmetrical, bell-shaped distribution. The arithmetic mean is 14.0 inches, and the standard deviation is 0.1 inches. About 68% of the outside diameters lie between what two amounts?

Respuesta :

Answer:

Β  13.9 inches, 14.1 inches

Step-by-step explanation:

The empirical rule tells you 68% of the distribution lies within 1 standard deviation of the mean:

Β  14.0 Β± 0.1 = [13.9, 14.1]

About 68% of outside diameters lie between 13.9 inches and 14.1 inches.

Answer:

Between 13.9 and 14.1 inches.

Step-by-step explanation:

This approximates to a normal distribution so 68% of the values will be within 1 standard deviation either side of the mean.

So about 68% of the diameters will lie between 13.9 and 14.1 inches.

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