Current Attempt in Progress

The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be $100\mathrm{.}6$ and the standard deviation is $6\mathrm{.}3.$ We wish to test $H_0$:$=100\mathrm{.}6$ versus $H_1$:$100\mathrm{.}6$ with a sample of $n=10$ specimens.

Calculate the $P-$value if the observed statistic is

$($a$)\stackrel{}{x}=96\mathrm{.}8$

$($b$)\stackrel{}{x}=100\mathrm{.}7$

$($c$)\stackrel{}{x}=103\mathrm{.}0$

Round your answers to four decimal places.

$($a$)$

$($b$)$

$($c$)$