Please show work on how you get both estimated p values, 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 $27$ people exposed to the curse had a mean life span of $71\mathrm{.}3$ years with a standard deviation of $12\mathrm{.}1$ years, while a sample of $13$ Westerners in Egypt at the time who were not exposed to the curse had a mean life span of $78\mathrm{.}5$ years with a standard deviation of $14\mathrm{.}5$ 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? Let ${}_1$ denote the mean life span of those exposed to the mummy's curse and ${}_2$ denote the meanlife span of those not exposed to the mummy's curse. Use the $=0\mathrm{.}10$ level and the $P-$value method with the table.

Part $4$ of $6$

Estimate the $P-$value. Identify the form of the interval based on $ox$ Critical Values for the Student's t Distribution Table.

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