x2 = 22 Sxi = 4.463609473 Sx2 - 7.589466304 (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 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 l, for the population mean for Joe Flacco.) State the null and alternative hypotheses. O Ho: (H, - 2) = 0 versus H: (M, - H2) = 0 O Ho: (H, - Hg) = 0 versus H: (u, - H2) > 0 O Hạ: (H, - H) - o versus H: (H, - H2) < 0 O Ho: (H - H2) < o versus H: (u, - H2) > 0 O Ho: (H, - H2) * O versus H: (, - H2) - 0 State the test statistic. (Round your answer to three decimal places.) - (0.325 State the rejection region. (1f the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) :> 2.045 *< -2.045 State the conclusion. O H, is rejected. There is sufficient evidence to indicate that the average number 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 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 Ho 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 to passes Does the confidence interval confirm your conclusion in part (b)? Explain. O No, since (, - uz) = 0 is not in the interval, there is sufficient evidence to indicate that there is a difference in the means. O Yes, since (u, - Hg) = 0 is not in the interval, there is sufficient evidence to indicate that there is a difference in the means. O Yes, since (u, - Hg) = 0 is in the interval, there is insufficient evidence to indicate that there is a difference in the means. O No, since (H, - l,) = 0 i 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.
x2 = 22 Sxi = 4.463609473 Sx2 - 7.589466304 (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 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 l, for the population mean for Joe Flacco.) State the null and alternative hypotheses. O Ho: (H, - 2) = 0 versus H: (M, - H2) = 0 O Ho: (H, - Hg) = 0 versus H: (u, - H2) > 0 O Hạ: (H, - H) - o versus H: (H, - H2) < 0 O Ho: (H - H2) < o versus H: (u, - H2) > 0 O Ho: (H, - H2) * O versus H: (, - H2) - 0 State the test statistic. (Round your answer to three decimal places.) - (0.325 State the rejection region. (1f the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) :> 2.045 *< -2.045 State the conclusion. O H, is rejected. There is sufficient evidence to indicate that the average number 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 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 Ho 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 to passes Does the confidence interval confirm your conclusion in part (b)? Explain. O No, since (, - uz) = 0 is not in the interval, there is sufficient evidence to indicate that there is a difference in the means. O Yes, since (u, - Hg) = 0 is not in the interval, there is sufficient evidence to indicate that there is a difference in the means. O Yes, since (u, - Hg) = 0 is in the interval, there is insufficient evidence to indicate that there is a difference in the means. O No, since (H, - l,) = 0 i 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
solve for d only
![x2 = 22
3x1 = 4.463609473
Sx2 = 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) # 0
O Ho: (H, - 2) = 0 versus H: (M, - H2) > 0
O Ho: (H, - u,) = 0 versus H: (4, - H,) < 0
O Ho: (H, - 42) < O versus H: (H, - H2) > 0
O Ho: (H, - l2) + 0 versus H: (u, - 12) = 0
State the test statistic. (Round your answer to three decimal places.)
t = 0.325
State the rejection region. (If the test
one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)
t > 2.045
-2.045
State 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 to
passes
Does 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0043636e-317e-482a-b701-46e9ae6bab2e%2F4c79c19c-f9ca-45ba-8b18-b607cbfaa610%2F35yfdt8_processed.png&w=3840&q=75)
Transcribed Image Text:x2 = 22
3x1 = 4.463609473
Sx2 = 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) # 0
O Ho: (H, - 2) = 0 versus H: (M, - H2) > 0
O Ho: (H, - u,) = 0 versus H: (4, - H,) < 0
O Ho: (H, - 42) < O versus H: (H, - H2) > 0
O Ho: (H, - l2) + 0 versus H: (u, - 12) = 0
State the test statistic. (Round your answer to three decimal places.)
t = 0.325
State the rejection region. (If the test
one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)
t > 2.045
-2.045
State 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 to
passes
Does 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 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 24
23
19
28
20
2-SampTTest
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 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) = 0
O Ho: (H, - 42) = 0 versus H: (H, - H2) > 0
O Ho: (H, - H2) = 0 versus H: (4, - H2) < 0
O Ho: (H, - l2) < O versus H: (M, - H2) > 0
O Ho: (H, - 2) * 0 versus H: (l, - 2) = 0
State the test statistic. (Round your answer to three decimal places.)
t = 0.325
State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)
t > 2.045
t < -2.045
State 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0043636e-317e-482a-b701-46e9ae6bab2e%2F4c79c19c-f9ca-45ba-8b18-b607cbfaa610%2Fmy1j95_processed.png&w=3840&q=75)
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 24
23
19
28
20
2-SampTTest
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 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) = 0
O Ho: (H, - 42) = 0 versus H: (H, - H2) > 0
O Ho: (H, - H2) = 0 versus H: (4, - H2) < 0
O Ho: (H, - l2) < O versus H: (M, - H2) > 0
O Ho: (H, - 2) * 0 versus H: (l, - 2) = 0
State the test statistic. (Round your answer to three decimal places.)
t = 0.325
State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)
t > 2.045
t < -2.045
State 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.
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