solve for part d only 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 Flacco2527292522192325272934312014162610819252120272523192823249202-SampTTestt = 0.3250234901p = 0.7474965338df = 29x1 = 22.73333333x2 = 22Sx1 = 4.463609473Sx2 = 7.589466384(a) The TI-84 Plus analysis uses the pooled estimate of o?. 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 u, for the population mean for Joe Flacco.)State the null and alternative hypotheses.O Ho: (H1 - H2) = 0 versus H,: (H, - M2) # 0O Ho: (H, - 42) = 0 versus H,: (H, - H2) > 0O Ho: (H, - H2) = 0 versus H: (4, - H2) < 0 O Ho: (H1 - H2) = 0 versus H,: (4, - H2) < 0O Ho: (H, - H2) < 0 versus H: (u, - H2) > 0O Ho: (H, - H2) = 0 versus H: (u, - µ2) = 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.O 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.)-3.884X passes to 5.344X passesDoes the confidence interval confirm your conclusion in part (b)? Explain.O No, since (u, - µ,) = 0 is not in the interval, there is sufficient evidence to indicate that there is a difference in the means.O Yes, since (u, - µ,) = 0 is not in the interval, there is sufficient evidence to indicate that there is a difference in the means.O Yes, since (u, - µ,) = 0 is in the interval, there is insufficient evidence to indicate that there is a difference in the means.O No, since (u, - µ,) = 0 is in the interval, there is sufficient evidence to indicate that there is a difference in the means.O Yes, since (u, - u,) = 0 is in the interval, there is sufficient evidence to indicate that there is a difference in the means.

Given that Sample sizes are n1 = 15, n2 = 16 Sample mean are 22.7333 and 22 Pooled variance = 39.4115 The critical value of t at df = 29 and 95% confidence level is 2.045 (from t distribution table)

Math

Statistics

(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. -3.884 X passes to 5.344 X passes Does the confidence interval confirm your conclusion in part (b)? Explain.

(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. -3.884 X passes to 5.344 X passes Does the confidence interval confirm your conclusion in part (b)? Explain.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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