A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is , and the standard deviation is . True or false:a. A confidence interval for the mean diameter of the 120 bearings in the sample is b. A confidence interval for the mean diameter of the 10,000 bearings in the box is

c. A confidence interval for the mean diameter of the 10,000 bearings in the box is

Solution:

Step 1 of 2 :

A box contains 10,000 ball bearings. A random sample of 120 bearing is selected. The sample mean diameter is 10mm , and the standard deviation is 0.24 mm.

Here the population size is, N= 10,000

Sample size, n= 120.

Sample mean,

Standard deviation, = 0.24 mm.