It is believed that animals living in northern regions have shorter appendages than animals living in southern regions. Random samples of birds were selected from each group and wing lengths for birds (in millimeters) were measured. The following table gives summary statistics. Region n Average Standard deviation Northern (N) 30 118.9 1.8 Southern (S) 30 120.2 3.8 Difference (d = N - S) 30 -1.3 1.7 (a) Find a 95% confidence interval for the mean difference of wing lengths of birds between the northern regions and the southern regions. (Round your answers to 4 decimal places, if needed.)(, )(b) Based on this confidence interval, is there enough evidence to support the belief? No, since the interval contains 0. No, since the interval is completely below 0. Yes, since the interval is completely below 0. Yes, since the interval contains 0.
It is believed that animals living in northern regions have shorter appendages than animals living in southern regions. Random samples of birds were selected from each group and wing lengths for birds (in millimeters) were measured. The following table gives summary statistics. Region n Average Standard deviation Northern (N) 30 118.9 1.8 Southern (S) 30 120.2 3.8 Difference (d = N - S) 30 -1.3 1.7 (a) Find a 95% confidence interval for the mean difference of wing lengths of birds between the northern regions and the southern regions. (Round your answers to 4 decimal places, if needed.)(, )(b) Based on this confidence interval, is there enough evidence to support the belief? No, since the interval contains 0. No, since the interval is completely below 0. Yes, since the interval is completely below 0. Yes, since the interval contains 0.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
Related questions
Question
It is believed that animals living in northern regions have shorter appendages than animals living in southern regions. Random samples of birds were selected from each group and wing lengths for birds (in millimeters) were measured. The following table gives summary statistics.
| Region | n | Average | Standard deviation |
| Northern (N) | 30 | 118.9 | 1.8 |
| Southern (S) | 30 | 120.2 | 3.8 |
| Difference (d = N - S) | 30 | -1.3 | 1.7 |
(a) Find a 95% confidence interval for the mean difference of wing lengths of birds between the northern regions and the southern regions. (Round your answers to 4 decimal places, if needed.)
(, )
(b) Based on this confidence interval, is there enough evidence to support the belief?
No, since the interval contains 0.
No, since the interval is completely below 0.
Yes, since the interval is completely below 0.
Yes, since the interval contains 0.
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