A manufacturer of a premium laminate and wood compostive flooring system would like to be able to say that their product will experience less warpage than hardwood flooring under certain fixed temperature and humidity conditions.

A random sample of size 40 from the laminate system produced a sample mean warpage of 2.7 degrees and a sample variance of 0.73. A random sample of size 46 from the hardwood flooring gave a sample mean warpage of 3.2 degrees and a sample variance of 0.80. It is believed that the true variance for the laminate system is the same as the true variance for the hardwood system.

Assuming warpage for both products are normally distributed, find a 90% confidence interval for 12 where 1 is the true mean warpage for laminate and 2 is the true mean warpage for hardwood.