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 Average 30 30 30 111.4 112.3 -0.9 Standard deviation 1.6 3.3 1.5 (a) Find a 90% confidence interval for the mean

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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Q12

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)
0.
n
0.
30
30
30
Average
(a) Find a 90% 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.)
Check
111.4
112.3
-0.9
(b) Based on this confidence interval, is there
enough evidence to support the belief?
Yes, since the interval contains 0.
No, since the interval is completely below
Standard
deviation
1.6
3.3
1.5
No, since the interval contains 0.
Yes, since the interval is completely below
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) 0. n 0. 30 30 30 Average (a) Find a 90% 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.) Check 111.4 112.3 -0.9 (b) Based on this confidence interval, is there enough evidence to support the belief? Yes, since the interval contains 0. No, since the interval is completely below Standard deviation 1.6 3.3 1.5 No, since the interval contains 0. Yes, since the interval is completely below
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