(All Steps) Consider the following hypothesis test: H_0:μ ≥ 45 , H_A:μ <45 , A sample of 36 is used. Identify the p-value and state your conclusion
Question: Consider the following hypothesis test:
\(\begin{aligned} & {{H}_{0}}:\mu \ge 45 \\ & {{H}_{A}}:\mu <45 \\ \end{aligned}\)A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample result. Use \(\alpha=0.01\)
- \(\bar{x}=44\) and s = 5.2
- \(\bar{x}=43\) and s = 4.6
- \(\bar{x}=46\) and s = 5.0
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