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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: (H2 - H2) = 0 versus H: (H1 – H2) * 0 O Ho: (H, - H2) = 0 versus H: (Hq - H2) > 0 O Ho: (Hy- H2) = 0 versus H,: (H, - H2) < O O Ho: (Hy - H2) < 0 versus H,: (H, - H2) > 0 O Hạ: (Hy - H2) # 0 versus H,: (H, - H2) = 0 State the test statistic. (Round your answer to three decimal places.) State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t< State 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 Ho is not rejected. There 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. 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. What is the p-value for the test? (Round your answer to three decimal places.)

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: (H2 - H2) = 0 versus H: (H1 – H2) * 0 O Ho: (H, - H2) = 0 versus H: (Hq - H2) > 0 O Ho: (Hy- H2) = 0 versus H,: (H, - H2) < O O Ho: (Hy - H2) < 0 versus H,: (H, - H2) > 0 O Hạ: (Hy - H2) # 0 versus H,: (H, - H2) = 0 State the test statistic. (Round your answer to three decimal places.) State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t< State 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 Ho is not rejected. There 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. 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. What is the p-value for the test? (Round your answer to three decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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9 this question has part a,b,c, and d

(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 µ, for the population mean for Joe Flacco.) State the null and alternative hypotheses. O Ho: (H1 - H2) = 0 versus H,: (H1 - H2) # 0 O Ho: (H, - H2) = 0 versus H: (H, - H2) > 0 O Ho: (H, - H2) = 0 versus H,: (H, - H2) < 0 O Ho: (H, - H2) < 0 versus H,: (H, - H2) > 0 О на: (и, - и,) + O versus H,: (u, - и) %3D о State the test statistic. (Round your answer to three decimal places.) t = State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t > t < State 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 = (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 to |passes Does 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 (4, - 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, - 4,) = 0 is 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 sufficient evidence to indicate that there is a difference in the means.
Transcribed Image Text:(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 µ, for the population mean for Joe Flacco.) State the null and alternative hypotheses. O Ho: (H1 - H2) = 0 versus H,: (H1 - H2) # 0 O Ho: (H, - H2) = 0 versus H: (H, - H2) > 0 O Ho: (H, - H2) = 0 versus H,: (H, - H2) < 0 O Ho: (H, - H2) < 0 versus H,: (H, - H2) > 0 О на: (и, - и,) + O versus H,: (u, - и) %3D о State the test statistic. (Round your answer to three decimal places.) t = State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t > t < State 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 = (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 to |passes Does 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 (4, - 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, - 4,) = 0 is 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 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 Smith Joe Flacco 25 27 29 25 22 19 23 25 27 29 34 31 20 14 16 | 26 10 8 19 25 21 20 27 25 23 19 28 23 24 9 20 2-SampTTest H1 * H2 t = 0.3250234901 p = 0.7474965338 df = 29 x1 = 22.73333333 x2 = 22 Sx1 = 4.463609473 Sx2 = 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.
Transcribed Image Text: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 Smith Joe Flacco 25 27 29 25 22 19 23 25 27 29 34 31 20 14 16 | 26 10 8 19 25 21 20 27 25 23 19 28 23 24 9 20 2-SampTTest H1 * H2 t = 0.3250234901 p = 0.7474965338 df = 29 x1 = 22.73333333 x2 = 22 Sx1 = 4.463609473 Sx2 = 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.
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