In: Statistics and Probability
The manufacturing process at a factory produces ball bearings that are sold to automotive manufacturers. The factory wants to estimate the average diameter of a particular type of ball bearing that is in demand to ensure that it is manufactured within the specifications. Suppose they plan to collect a sample of 10 ball bearings and measure their diameters to construct a 95% confidence interval for the average diameter of ball bearings produced from this manufacturing process.
In your initial post, choose any diameter values for 10 ball bearings. Make sure to not repeat a value, and to choose values between 2.25 cm and 2.75 cm. Then, using the 10 values that you have chosen, construct a 95% confidence interval for the average diameter of ball bearings produced from this manufacturing process.