i have following problem,
"The null hypothesis says that a sprinter's reaction time follows a normal distribution with mean at most 0.150 seconds. Six measurements of a sprinter's reaction time show 0.152, 0.154, 0.166, 0.147, 0.161, and 0.159 seconds. What is the p value?"
i have calculated first sample mean as 0.157 and standard deviation under t-student distribution as 0.00686 then applying $t=\frac{\bar{x}-\mu}{s/\sqrt{n}}$ i got 2.45
CDF of t(2.45) is around 0.973 which i believe is the p-value requested.
what wrong did i do?