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.RegionnAverageStandard deviationNorthern (N)30118.91.8Southern (S)30120.23.8Difference (d = N - S)30-1.31.7(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.

The objective of this question is to calculate a 95% confidence interval for the mean difference of…

Answered: It is believed that animals living in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

AI-Generated Solution

AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.