Data showing the values of several pitching statistics for a random sample of 20 pitchers from the American League of Major League Basebali is provioed \begin{tabular}{|l|c|c|c|c|c|c|c|} \hline Santana, E & LAA & 11 & 12 & 3.38 & 0.78 & 0.11 & 0.42 \\ \hline Lester, J & BOS & 15 & 9 & 3.47 & 0.95 & 0.10 & 0.40 \\ \hline Hernandez, F & SEA & 14 & 14 & 3.47 & 0.95 & 0.08 & 0.42 \\ \hline Buehrle, M & CWS & 13 & 9 & 3.59 & 0.53 & 0.10 & 0.45 \\ \hline Pineda M & SEA & 9 & 10 & 3.74 & 1.01 & 0.11 & 0.44 \\ \hline Colon, B & NYY & 8 & 10 & 4.00 & 0.82 & 0.13 & 0.52 \\ \hline Tomlin, 3 & CLE & 12 & 7 & 4.25 & 0.54 & 0.15 & 0.48 \\ \hline Pavano, C & MLN & 9 & 13 & 4.30 & 0.46 & 0.10 & 0.55 \\ \hline Danks, J & CWS & 8 & 12 & 4.33 & 0.79 & 0.11 & 0.52 \\ \hline Guthrie, J & BAL & 9 & 17 & 4.33 & 0.63 & 0.13 & 0.54 \\ \hline Lewis, C & TEX & 14 & 10 & 4.40 & 0.84 & 0.17 & 0.51 \\ \hline Scherzer, M & DET & 15 & 9 & 4.43 & 0.89 & 0.15 & 0.52 \\ \hline Davis, W & TB & 11 & 10 & 4.45 & 0.57 & 0.13 & 0.52 \\ \hline Porcello, R & DET & 14 & 9 & 4.75 & 0.57 & 0.10 & 0.57 \\ \hline \end{tabular} An estimated regression equation was developed to predict the average number of nuns given up per inning pitched (R/IP) given the average number An estimated regression equation was developed to predict the awerage number of nuns given up per inning pitched (R/IP) given the average number of stnkeouts per inning pitched (SO,IP) and the average number of home runs per inning pitched (HR/IP). (a) Use the F test to determine the overell significance of the retationship State the null and aitemative hpotheses. H0:0=0H3=00H0:1=2=0 H3 : One or mere of the parameters is not equal to zero H0 One or more of the parameters is not equal to zero. H1:1=2=0H6:1=2=0 HA : All the parameters are nat equal to zero. Ha: All the parameters are not equal to zero. H0:0=0H0:0=0 Calculate the test statistic. (Round your answer to two decimal places.) Calculate the p-value. (Round your answer to three decimal places.) p-value = What is your conclusion at the 0.05 level of significance? Do not reject H0. There is insufficient evidence to conclude that there is a significant overall relationship. Do not reject H0. There is sufficient evidence to conclude that there is a significant overall relationship. Reject H0. There is sufficient evidence to conclude that there is a significant overall relationship. Reject H0. There is insufficient evidence to conclude that there is a significant overall relationship. (b) Use the t test to determine the significance of SO/IP. State the null and alternative hypotheses, H0+10 (b) Use the t test to determine the significance of 50/1P. State the null and alternative hypotheses. H0:10Ha:10H0:1=0Ha:1=0H0:1=0Ha:1=0H0:1=0Ha:1>0 Find the value of the test statistic for 1 (Round your answer to two decimal places.) Find the p-value for 1. (Round your answer to three decimal places.) Find the value of the test statistic for 1. (Round your answer to two decimal places.) Find the p-value for 1. (Round your answer to three decimal places.) p-value = What is your conclusion at the 0.05 level of significance? Do not reject H0. There is insufficient evidence to conclude that SO/IP is a significant Reject H0. There is insufficient evidence to conclude that SO/IP is a significant factor: Do not reject. H0. There is sufficient evidence to conclude that SO/IP is a significant fa Reject H0. There is sufficient evidence to conclude that SO/P is a significant factor. Use the t test to determine the significance of HR/IP. State the null and alternative hypotheses. H0:20Ha:20Hi:2=0 Use the t test to determine the significance of HR/IP. State the null and altemative hypotheses. H0:20H0:20H0:2=0Ha:2>0H0=2=0H10:2=0 Find the value of the test statistic for 2. (Round your answer to twe de Find the p-value for 2. (Round your answer to three decimal places.) p-value = What is your condusion at the 0.05 level of significance? Find the value of the test statistic for 2. (Round your answer to two decimal places.) Find the p-value for 2. (Round your answer to three decimal places,) p-value = What is your conclusion at the 0.05 level of significance? Reject H0. There is insufficient evidence to conclude that HR/IP is a significant factor. Do not reject H0. There is insufficient evidence to conclude that HR/IP is a significant factor. Do not reject H0. There is sufficient evidence to conclude that HR/IP is a significant factor. Reject H0. There is sufficient evidence to conclude that HR/IP is a significant factor
