David E. Brown is an expert in wildlife conservation. In his book The Wolf in the Southwest: The Making of an Endangered Species (University of Arizona Press), he records the following weights of adult grey wolves from two regions in Old Mexico. Chihuahua region: x, variable in pounds 86 75 91 70 79 80 68 71 74 64 Durango region: x2 variable in pounds 68 72 79 68 77 89 62 55 68 68 59 63 66 58 54 71 59 67 (a) Use a calculator with mean and standard deviation keys to calculate x1, S1, X2, and sz. (Use 2 decimal places.) X2 (b) Let u, be the mean weight of the population of all grey wolves in the Chihuahua region. Let uz be the mean weight of the population of all grey wolves in the Durango region. Find a 90% confidence interval for u - Hz. (Use 2 decimal places.) lower limit upper limit (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 90% level of confidence, what can you say about the comparison of the average weight of grey wolves in the Chihuahua region with the average weight of grey wolves in the Durango region? O Because the interval contains only positive numbers, we can say that the mean weight of grey wolves is greater in the Chihuahua region. O Because the interval contains only negative numbers, we can say that the mean weight of grey wolves is greater in the Durango region. O Because the interval contains both positive and negative numbers, we can not say that the mean weight of grey wolves is greater in the Chihuahua region. O we can not make any conclusions using this confidence interval.
David E. Brown is an expert in wildlife conservation. In his book The Wolf in the Southwest: The Making of an Endangered Species (University of Arizona Press), he records the following weights of adult grey wolves from two regions in Old Mexico. Chihuahua region: x, variable in pounds 86 75 91 70 79 80 68 71 74 64 Durango region: x2 variable in pounds 68 72 79 68 77 89 62 55 68 68 59 63 66 58 54 71 59 67 (a) Use a calculator with mean and standard deviation keys to calculate x1, S1, X2, and sz. (Use 2 decimal places.) X2 (b) Let u, be the mean weight of the population of all grey wolves in the Chihuahua region. Let uz be the mean weight of the population of all grey wolves in the Durango region. Find a 90% confidence interval for u - Hz. (Use 2 decimal places.) lower limit upper limit (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 90% level of confidence, what can you say about the comparison of the average weight of grey wolves in the Chihuahua region with the average weight of grey wolves in the Durango region? O Because the interval contains only positive numbers, we can say that the mean weight of grey wolves is greater in the Chihuahua region. O Because the interval contains only negative numbers, we can say that the mean weight of grey wolves is greater in the Durango region. O Because the interval contains both positive and negative numbers, we can not say that the mean weight of grey wolves is greater in the Chihuahua region. O we can not make any conclusions using this confidence interval.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:David E. Brown is an expert in wildlife conservation. In his book The Wolf in the Southwest: The Making of an Endangered Species (University of Arizona Press), he records the following weights of adult grey wolves from two regions in Old Mexico.
Chihuahua region: x, variable in pounds
86 75 91 70 79
80 68 71 74 64
Durango region: x2 variable in pounds
68 72 79 68 77 89 62 55 68
68 59 63 66 58 54 71 59 67
(a) Use a calculator with mean and standard deviation keys to calculate x1, S1, X2, and s3. (Use 2 decimal places.)
X1
X2
S2
(b) Let uj be the mean weight of the population of all grey wolves in the Chihuahua region. Let µz be the mean weight of the population of all grey wolves in the Durango region. Find a 90% confidence interval for u - µ2. (Use 2 decimal places.)
lower limit
upper limit
(c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 90% level of confidence, what can you say about the comparison of
the average weight of grey wolves in the Chihuahua region with the average weight of grey wolves in the Durango region?
O Because the interval contains only positive numbers, we can say that the mean weight of grey wolves is greater in the Chihuahua region.
O Because the interval contains only negative numbers, we can say that the mean weight of grey wolves is greater in the Durango region.
O Because the interval contains both positive and negative numbers, we can not say that the mean weight of grey wolves is greater in the Chihuahua region.
O we can not make any conclusions using this confidence interval.
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