Question

The number of nails of a given length is normally distributed with a mean a length of 5 in. and a

standard deviation of 0.03 in. In a bag containing 120 nails, how many nails are between 4.97
in. long and 5.03 in. long?
ut 57 nails
out 60 nails
out 82 nail

Answer 1

82 nails

Explanation:

4.97 and 5.03 are both one standard deviation from the mean...

z scores . 8413 and .1587

.8413 - .1587 = .6826 or 68.26 % of the nails are in this range

68.26 % * 120 = ~82 nails