# Consider testing H 0 </msub> : &#x03B8;<!-- θ --> &#x2265;<!-- ≥ --> 3

Consider testing using a test in which the null hypothesis is rejected when the statistic $T=min\left\{{X}_{1},...,{X}_{n}\right\}$, for example of size $n$ has small values. Compute the $p$-value using the sample $3.11,3.3,3.46$
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T - statistic $=min\left({x}_{1},{x}_{2},{x}_{3}\right)=3.11$
$\mu =3$
Standard deviation $=\sqrt{\frac{{0.11}^{2}+{.3}^{2}+{.46}^{2}}{2}}=0.396043$
p value $=\frac{statistic-\mu }{\sigma }=\frac{3.11-3}{0.396043}=0.277748\approx 0.281$