(See Solution) Beth (a close friend of Tom, who was mentioned in Problem 2 on the facing page) had to do a test of these hypotheses. H_0: μ=83 \text
Question:
Beth (a close friend of Tom, who was mentioned in Problem 2 on the facing page) had to do a test of these hypotheses.
\[H_{0}: \mu=83 \text { vs } H_{a}: \mu>83\]She used \(\alpha=0.05\). After the analysis was done she located the \(\mathrm{p}\) -value in Minitab's output: it was \(p-\) value \(=0.027\). In her answers she wrote:
Because the p-value is smaller than \(\alpha\) the null hypothesis should be accepted. This means that the data indicates the true mean is smaller than 83 .
The grading note on her paper was "You performed the analysis correctly but all of your interpretations are wrong." She asked Tom what the correct interpretations would be but he wasn't any help, so she's turned to you. With the information given, what should the decision say? What is the correct interpretation?
Deliverable: Word Document 
(Solution Library) (a) Let \Theta be a continuous random variable
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(See) [12 Marks] True, False or Uncertain: Justify your answer
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(All Steps) [16 Marks] The file "sample_midterm_q3.dat" contains data
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