It is believed that animals leving in northerm regions have shorter appendages than animals Iiving 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 Northern (N) Southern (S) Difference (d = N S) Average Standard deviation 33 116.5 1.8 33 117.1 3.7 33 -0.6 1.7 (a) Find an 80% 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? O No since the interval is completely below 0. O Yes, since the interval contains 0 O Yes since the interval is completely below 0. O No, since the interval contains 0 Check

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It is believed that animals Iiving in northerm regions have shorter appendages than animals Iiving 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
Northern (N)
Southern (S)
Difference (d = N S)
Average
Standard deviation
33
116.5
1.8
33
117.1
3.7
33
0.6
1.7
(a) Find an 80% 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?
O No, since the interval is completely below 0.
O Yes, since the interval contains 0
O Yes since the interval is completely below 0.
O No, since the interval contains 0.
Check
Transcribed Image Text:It is believed that animals Iiving in northerm regions have shorter appendages than animals Iiving 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 Northern (N) Southern (S) Difference (d = N S) Average Standard deviation 33 116.5 1.8 33 117.1 3.7 33 0.6 1.7 (a) Find an 80% 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? O No, since the interval is completely below 0. O Yes, since the interval contains 0 O Yes since the interval is completely below 0. O No, since the interval contains 0. Check
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