I have a population with 10000 individual, i took 10 to my samples. The values that i have inside $\bar{X}$ 70,22502193 70,26042017 70,28977621 70,2905717 70,30113496 70,32304453 70,32489699 70,3434273 70,41455295 70,46876484
$\mu$ = 50.03385 $\bar{X}$ = 70.32416 $S$ = 0.071637 N = 10.
I need to find $P(|\bar{X}-\mu| < t * S * \sqrt{10}$ i used the t formula = $T=\frac{70.32416-50.03385}{\frac{0.071637}{\sqrt{10}}}$ the result was 895.677, is this correct?
in the another question, i cant figure out how to do it. $\bar{X} $ and $ S^{2} = 120 $ whats the probability to find t lower than produced by $\bar{X}$
And, $S^{2} = 120, P(|\bar{X} - \mu| < 0.3)$ i find the Pr using the $P(|\bar{X}-\mu| < t * S * \sqrt{10})$ formula?
