At a computer manufacturing company the actual size of compu

At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.2 centimeter. A random sample of 16 computer chips is taken. What is the probability that the sample mean will be below 0.93 centimeters? 0.2743 0.2119 0.1151 0.0806 0.1915

Solution

5) n = 16

mean =1

std dev =0.2

For x = 0.93, the z-value z = (0.93 - 1) / 0.2 = -0.35

Hence P(x < 0.93) = P(z < -0.35) = [area to the left of 2.5] = 0.2743

hence option A