Q:

5. Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.1 millimeters (mm) and a standard deviation of 0.7 mm. What percent (%) of ancient prehistoric Native American pot shards discovered in this area has thickness measurement thinner than 3.

Accepted Solution

A:
Answer:percent (%) of ancient prehistoric thinner than 3 is 0.0013Step-by-step explanation:Given data mean =  5.1 millimeters (mm)standard deviation = 0.7 mmto find out percent (%) of ancient prehistoric thinner than 3solutionwe have given mean and SD so Z will be = x -mean  / SDZ = ( x - 5.1 ) / 0.7so P( x < 3 ) = P ( (x - 5.1 ) / 0.7  <  ( 3 - 5.1 ) / 0.7 ) P( Z  = ( 3 - 5.1 ) / 1.5 ) P( Z  =  -3 ) = 0.0013percent (%) of ancient prehistoric thinner than 3 is 0.0013