Chapter 11.1, Problem 15E

Mummy’s curse: King Tut was an ancient Egyptian ruler whose tomb was discovered and opened in 1923. Legend has it that the archaeologists who opened the tomb were subject to a "mummy’s curse." which would shorten their life spans. A team of scientists conducted an investigation of the mummy’s curse. They reported that the 25 people exposed to the curse had a mean life span of 70.0 years with a standard deviation of 12.4 years, while a sample of 11 Westerners m Egypt at the time who were not exposed to the curse had a mean life span of 75.0 years with a standard deviation of 13.6 years. Assume that the populations are approximately normal can you conclude that the mean life span of those exposed to the mummy’s curse is less than the mean of those not exposed? Use the $\alpha =0.05$ level.