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 Northern (N) Southern (S) Difference (d = N - S) n 31 31 31 Average Standard deviation 119.6 121.4 -1.8 1.6 3.3 1.4 (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.)
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 Northern (N) Southern (S) Difference (d = N - S) n 31 31 31 Average Standard deviation 119.6 121.4 -1.8 1.6 3.3 1.4 (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.)
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Transcribed Image Text: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
Northern (N)
Southern (S)
Difference (d = N-S)
n
31
31
31
Average
119.6
121.4
-1.8
Check
Standard deviation
(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.)
Yes, since the interval contains 0.
O Yes, since the interval is completely below 0.
No, since the interval is completely below 0.
1.6
3.3
1.4
(b) Based on this confidence interval, is there enough evidence to support the belief?
No, since the interval contains 0.
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