For mallard ducks and Canada geese, what percentage of nests are successful (at least one offspring survives)? Studies in Montana, Illinois, Wyoming, Utah, and California give the following percentages of successful nests (Reference: The Wildlife Society Press, Washington, D.C.). x: Percentage success for mallard duck nests 44 80 44 17 38 y: Percentage success for Canada goose nests 63 33 21 45 36 USE SALT (a) Use a calculator to verify that Ex=223; Ex² = 12,005; Ey = 198; and Ey² = 8,820. Ex Ex² Ey² Ey s² s (b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x, the percent of successful mallard nests. (Round your answers to four decimal places.) x (c) Use the results of part (a) to compute the sample mean, variance, and standard deviation for y, the percent of successful Canada goose nests. (Round your answers to four decimal places.) y $²

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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For mallard ducks and Canada geese, what percentage of nests are successful (at least one offspring survives)? Studies in Montana, Illinois, Wyoming, Utah, and California give the following percentages of
successful nests (Reference: The Wildlife Society Press, Washington, D.C.).
ê*
(a) Use a calculator to verify that Ex = 223; £x² = 12,005; y = 198; and Σy² = 8,820.
Ex
Σχ2
ΣΥ2
ΣΥ
X
5²
(b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x, the percent of successful mallard nests. (Round your answers to four decimal places.)
S
x: Percentage success for mallard duck nests
44
44
17
38
y: Percentage success for Canada goose nests
63
33
21
45
36
80
S
USE SALT
(c) Use the results of part (a) to compute the sample mean, variance, and standard deviation for y, the percent of successful Canada goose nests. (Round your answers to four decimal places.)
y
5²
CV
(d) Use the results of parts (b) and (c) to compute the coefficient of variation for successful mallard nests and Canada goose nests. (Round your answers to one decimal place.)
X
y
%
%
Transcribed Image Text:For mallard ducks and Canada geese, what percentage of nests are successful (at least one offspring survives)? Studies in Montana, Illinois, Wyoming, Utah, and California give the following percentages of successful nests (Reference: The Wildlife Society Press, Washington, D.C.). ê* (a) Use a calculator to verify that Ex = 223; £x² = 12,005; y = 198; and Σy² = 8,820. Ex Σχ2 ΣΥ2 ΣΥ X 5² (b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x, the percent of successful mallard nests. (Round your answers to four decimal places.) S x: Percentage success for mallard duck nests 44 44 17 38 y: Percentage success for Canada goose nests 63 33 21 45 36 80 S USE SALT (c) Use the results of part (a) to compute the sample mean, variance, and standard deviation for y, the percent of successful Canada goose nests. (Round your answers to four decimal places.) y 5² CV (d) Use the results of parts (b) and (c) to compute the coefficient of variation for successful mallard nests and Canada goose nests. (Round your answers to one decimal place.) X y % %
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