A manufacturer of air compressors claims that the lifetime of their compressors under typical use has a mean life of 60 months with a standard deviation of 4 months, but the comparable air compressors from the competing manufacturer has a mean life of 55 months with a standard deviation of 10 months. Suppose we randomly select 64 compressors from this manufacturer and 80 compressors from the competing manufacturer. LetX, and SZ be the sample mean and the sample variance of lifetimes for the sample taken from this manufacturer. LetX2 and S2 be the sample mean and the sample variance of lifetimes for the sample taken from the competing manufacturer