Hypothesis Testing: Single Average Is this a test of averages or proportions? averages State the null and alternative hypotheses. a Ho: size 12{H rSub { size 8{O} } :} {} b Ha: size 12{H rSub { size 8{a} } :} {} a H o : μ = 15 size 12{H rSub { size 8{O} } :μ="15"} {} b H a : μ ≠ 15 size 12{H rSub { size 8{a} } :μ <> "15"} {} Is this a right-tailed, left-tailed, or two-tailed test? How do you know? two-tailed What symbol represents the Random Variable for this test? X ¯ size 12{ {overline {X}} } {} In words, define the Random Variable for this test. the average time spent on death row Is the population standard deviation known and, if so, what is it? No Calculate the following: a x¯= size 12{ {overline {x}} ={}} {} b 6.3= size 12{6 "." 3={}} {} c n= size 12{n={}} {} a17.4 b s size 12{s} {} c75 Which test should be used? In 1 -2 complete sentences, explain why. t− size 12{t - {}} {}test State the distribution to use for the hypothesis test. t 74 size 12{t rSub { size 8{"74"} } } {} Sketch a graph of the situation. Label the horizontal axis. Mark the hypothesized mean and the sample mean, x¯ size 12{ {overline {x}} } {}. Shade the area corresponding to the p-value.

Find the p-value. 0.0015 At a pre-conceived α=0.05 size 12{α=0 "." "05"} {}, what is your: a Decision: b Reason for the decision: c Conclusion (write out in a complete sentence): aReject the null hypothesis