Question

Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.4 and a mean diameter of 212 inches.

If 80 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.1 inches? Round your answer to four decimal places.

Answer 1

Answer:-

Given That:-

Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.4 and a mean diameter of 212 inches.If 80 shafts are sampled at random from the batch,

what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.1 inches?

A sample of size is taken from this population.

Let be the mean of sample.

The sampling distribution of the is approximately normal with

Mean

Find P( would differ from the population mean by greater than 0.1 inches)

= P( would differ from 212 by greater than 0.1 inches)