Assume that for the existing machine the sample mean bolt di

Assume that, for the existing machine, the sample mean bolt diameter is 5.00 mm from a sample of             100     bolts, the population standard deviation is known to be 0.025 mm, and the bolt diameter measurement is normally distributed. Calculate the following quantities, and include units in your answers:

a) A 95% prediction interval on a single future observation (i.e., the next measurement)

b) A tolerance interval that will enclose at least 90% of the measurements of bolt diameter with a 95% confidence level.

Solution