[All Steps] Given the following hypotheses: H_0:μ ≤ 10 , H_A:μ >10 , For a random sample of 10 observations, the sample mean was 12 and the sample
Question: Given the following hypotheses:
\[\begin{aligned} & {{H}_{0}}:\mu \le 10 \\ & {{H}_{A}}:\mu >10 \\ \end{aligned}\]For a random sample of 10 observations, the sample mean was 12 and the sample standard deviation was 3. Using the 0.05 significance level:
- State the decision rule
- Compute the value of the test statistics
- What is your decision regarding the null hypothesis?
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