solve for d only x2 = 223x1 = 4.463609473Sx2 = 7.589466384(a) The TI-84 Plus analysis uses the pooled estimate of of. Is the assumption of equal variances reasonable? Why or why not?O Yes, because the ratio of the larger variance to smaller variance is less than 3.O Yes, because the ratio of the larger variance to smaller variance is more than 3.O No, because the ratio of the larger variance to smaller variance is not equal to 1.O No, because the ratio of the larger variance to smaller variance is less than 3.O No, because the ratio of the larger variance to smaller variance is more than 3.(b) Do the data indicate that there is a difference in the average number of completed passes for the two quarterbacks? Test using a = 0.05. (Use u, for the population mean for Alex Smith and H, for the population mean for Joe Flacco.)State the null and alternative hypotheses.O Ho: (H1 - u2) = 0 versus H,: (ly - H2) # 0O Ho: (H, - 2) = 0 versus H: (M, - H2) 0O Ho: (H, - u,) = 0 versus H: (4, - H,) 2.045-2.045State the conclusion.H, is rejected. There is sufficient evidence to indicate that the average number of completed passes is different for Alex Smith and Joe Flacco.O H, is not rejected. There is insufficient evidence to indicate that the average number of completed passes is different for Alex Smith and Joe Flacco.O H, is not rejected. There is sufficient evidence to indicate that the average number of completed passes is different for Alex Smith and Joe Flacco.O H, is rejected. There is insufficient evidence to indicate that the average number of completed passes is different for Alex Smith and Joe Flacco.(c) What is the p-value for the test? (Round your answer to three decimal places.)p-value = 0.747(d) Use the information provided along with the pooled variance, s = 39.4115 to construct a 95% confidence interval for the difference in the average number of completed passes for the two quarterbacks. (Round your answers to three decimal places.)passes topassesDoes the confidence interval confirm your conclusion in part (b)? Explain.O No, since (H, - u,) = 0 is not in the interval, there is sufficient evidence to indicate that there is a difference in the means.O Yes, since (u, - H,) = 0 is not in the interval, there is sufficient evidence to indicate that there is a difference in the means.O Yes, since (u, - H,) = 0 is in the interval, there is insufficient evidence to indicate that there is a difference in the means.O No, since (u, - u,) = 0 is in the interval, there is sufficient evidence to indicate that there is a difference in the means.O Yes, since (u, - H,) = 0 is in the interval, there is sufficient evidence to indicate that there is a difference in the means. How does Alex Smith, quarterback for the Kansas City Chiefs, compare to Joe Flacco, quarterback for the Baltimore Ravens? The following table shows the number of completed passes for each athlete during the 2017 NFL football season.Alex SmithJoe Flacco2527292522 1923 25 27| 29 34 3120 14 16 | 26 10 819 2521 | 20 27 2523 24231928202-SampTTestt = 0.3250234901p = 0.7474965338df = 29x1 = 22.73333333x2 = 22Sx1 = 4.463609473Sx2 = 7.589466384(a) The TI-84 Plus analysis uses the pooled estimate of of. Is the assumption of equal variances reasonable? Wwhy or why not?O Yes, because the ratio of the larger variance to smaller variance is less than 3.O Yes, because the ratio of the larger variance to smaller variance is more than 3.O No, because the ratio of the larger variance to smaller variance is not equal to 1.O No, because the ratio of the larger variance to smaller variance is less than 3.O No, because the ratio of the larger variance to smaller variance is more than 3.(b) Do the data indicate that there is a difference in the average number of completed passes for the two quarterbacks? Test using a = 0.05. (Use u, for the population mean for Alex Smith and , for the population mean for Joe Flacco.)State the null and alternative hypotheses.O Ho: (H, - l2) = 0 versus H: (M, - H2) = 0O Ho: (H, - 42) = 0 versus H: (H, - H2) 0O Ho: (H, - H2) = 0 versus H: (4, - H2) 2.045t

Question

solve for d only x2 = 223x1 = 4.463609473Sx2 = 7.589466384(a) The TI-84 Plus analysis uses the pooled estimate of of. Is the assumption of equal variances reasonable? Why or why not?O Yes, because the ratio of the larger variance to smaller variance is less than 3.O Yes, because the ratio of the larger variance to smaller variance is more than 3.O No, because the ratio of the larger variance to smaller variance is not equal to 1.O No, because the ratio of the larger variance to smaller variance is less than 3.O No, because the ratio of the larger variance to smaller variance is more than 3.(b) Do the data indicate that there is a difference in the average number of completed passes for the two quarterbacks? Test using a = 0.05. (Use u, for the population mean for Alex Smith and H, for the population mean for Joe Flacco.)State the null and alternative hypotheses.O Ho: (H1 - u2) = 0 versus H,: (ly - H2) # 0O Ho: (H, - 2) = 0 versus H: (M, - H2) > 0O Ho: (H, - u,) = 0 versus H: (4, - H,) < 0O Ho: (H, - 42) < O versus H: (H, - H2) > 0O Ho: (H, - l2) + 0 versus H: (u, - 12) = 0State the test statistic. (Round your answer to three decimal places.)t = 0.325State the rejection region. (If the testone-tailed, enter NONE for the unused region. Round your answers to three decimal places.)t > 2.045-2.045State the conclusion.H, is rejected. There is sufficient evidence to indicate that the average number of completed passes is different for Alex Smith and Joe Flacco.O H, is not rejected. There is insufficient evidence to indicate that the average number of completed passes is different for Alex Smith and Joe Flacco.O H, is not rejected. There is sufficient evidence to indicate that the average number of completed passes is different for Alex Smith and Joe Flacco.O H, is rejected. There is insufficient evidence to indicate that the average number of completed passes is different for Alex Smith and Joe Flacco.(c) What is the p-value for the test? (Round your answer to three decimal places.)p-value = 0.747(d) Use the information provided along with the pooled variance, s = 39.4115 to construct a 95% confidence interval for the difference in the average number of completed passes for the two quarterbacks. (Round your answers to three decimal places.)passes topassesDoes the confidence interval confirm your conclusion in part (b)? Explain.O No, since (H, - u,) = 0 is not in the interval, there is sufficient evidence to indicate that there is a difference in the means.O Yes, since (u, - H,) = 0 is not in the interval, there is sufficient evidence to indicate that there is a difference in the means.O Yes, since (u, - H,) = 0 is in the interval, there is insufficient evidence to indicate that there is a difference in the means.O No, since (u, - u,) = 0 is in the interval, there is sufficient evidence to indicate that there is a difference in the means.O Yes, since (u, - H,) = 0 is in the interval, there is sufficient evidence to indicate that there is a difference in the means. How does Alex Smith, quarterback for the Kansas City Chiefs, compare to Joe Flacco, quarterback for the Baltimore Ravens? The following table shows the number of completed passes for each athlete during the 2017 NFL football season.Alex SmithJoe Flacco2527292522 1923 25 27| 29 34 3120 14 16 | 26 10 819 2521 | 20 27 2523 24231928202-SampTTestt = 0.3250234901p = 0.7474965338df = 29x1 = 22.73333333x2 = 22Sx1 = 4.463609473Sx2 = 7.589466384(a) The TI-84 Plus analysis uses the pooled estimate of of. Is the assumption of equal variances reasonable? Wwhy or why not?O Yes, because the ratio of the larger variance to smaller variance is less than 3.O Yes, because the ratio of the larger variance to smaller variance is more than 3.O No, because the ratio of the larger variance to smaller variance is not equal to 1.O No, because the ratio of the larger variance to smaller variance is less than 3.O No, because the ratio of the larger variance to smaller variance is more than 3.(b) Do the data indicate that there is a difference in the average number of completed passes for the two quarterbacks? Test using a = 0.05. (Use u, for the population mean for Alex Smith and , for the population mean for Joe Flacco.)State the null and alternative hypotheses.O Ho: (H, - l2) = 0 versus H: (M, - H2) = 0O Ho: (H, - 42) = 0 versus H: (H, - H2) > 0O Ho: (H, - H2) = 0 versus H: (4, - H2) < 0O Ho: (H, - l2) < O versus H: (M, - H2) > 0O Ho: (H, - 2) * 0 versus H: (l, - 2) = 0State the test statistic. (Round your answer to three decimal places.)t = 0.325State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)t > 2.045t < -2.045State the conclusion.Ho is rejected. There is sufficient evidence to indicate that the average number of completed passes is different for Alex Smith and Joe Flacco.O Ho is not rejected. There is insufficient evidence to indicate that the average number of completed passes is different for Alex Smith and Joe Flacco.O Ho is not rejected. There is sufficient evidence to indicate that the average number of completed passes is different for Alex Smith and Joe Flacco.

Accepted Answer

Given Data :

For Sample 1

x̄1 = 22.73

n1= 15

s1= 4.4636

For Sample 2…