[See Solution] Consider the following hypothesis test: H_0:μ ≤ 50 , H_a:μ >50 , A sample of 60 is used and the population standard deviation is
Question: Consider the following hypothesis test:
\[\begin{aligned} & {{H}_{0}}:\mu \le 50 \\ & {{H}_{\text{a}}}:\mu >50 \\ \end{aligned}\]
A sample of 60 is used and the population standard deviation is $8 .$ Use the critical value approach to state your conclusion for each of the following sample results. Use \(\alpha=.05\).
- \(\bar{x}=52.5\)
- \(\bar{x}=51\)
- \(\bar{x}=51.8\)
Deliverable: Word Document 
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