(Solved): At Rachels 11th birthday party, 8 girls were timed to see how long (in seconds) they could holdth ...

Hypothesis Testing with Two Samples Class Time: Name: a. $H_0$ : b. $H_a$ : c. In words, clearly state what your random variable ${\stackrel{?}{X}}_1?{\stackrel{?}{X}}_2,P^{?}{}_1?P^{?}{}_2$ or ${\stackrel{?}{X}}_d$ represents. d. State the distribution to use for the test. e. What is the test statistic? f. What is the $p$-value? In one to two complete sentences, explain what the p-value means for this problem. g. Use the previous information to sketch a picture of this situation. CLEARLY label and scale the horizontal axis and shade the region(s) corresponding to the $p$-value. Figure E3 h. Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences. a. Alpha: b. Decision: c. Reason for decision: d. Conclusion: i. In complete sentences, explain how you determined which distribution to use. \begin{tabular}{|l|l|} \hline Relaxed time (seconds) & Jumping time (seconds) \\ \hline 26 & 21 \\ \hline 47 & 40 \\ \hline 30 & 28 \\ \hline 22 & 21 \\ \hline 23 & 25 \\ \hline 45 & 43 \\ \hline 37 & 35 \\ \hline 29 & 32 \\ \hline \end{tabular}