x: Percentage success for mallard duck nests 11 74 68 11 74 y: Percentage success for Canada goose nests 24 15 21 42 54 A USE SALT = 5.922 Use a calculator to verify that Ex = 238: Ex2 = 15.818: Ev = 156: and Ey2

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
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
11
74
68
11
74
y: Percentage success for Canada goose nests
15
21
42
54
24
n USE SALT
(a) Use a calculator to verify that Ex = 238; Ex2 = 15,818; Ey = 156; and Ey2 = 5,922.
Σχ
Ex²
Ey
Ey²
(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.)
(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
s2
(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.)
CV
%
%
Write a brief explanation of the meaning of these numbers. What do these results say about the nesting success rates for
mallards compared to Canada geese?
O The CV is the ratio of the standard deviation to the mean; the CV for Canada goose nests is higher.
O The CV is the ratio of the standard deviation to the mean; the CV for Canada goose nests is equal to the CV for
mallard nests.
O The CV is the ratio of the standard deviation to the mean; the CV for mallard nests is higher.
O The CV is the ratio of the standard deviation to the variance; the CV for Canada goose nests is higher.
O The CV is the ratio of the standard deviation to the variance; the CV for Canada goose nests is equal to the CV for
mallard nests.
O The CV is the ratio of the standard deviation to the variance; the CV for mallard nests is higher.
Would you say one group of data is more or less consistent than the other? Explain.
O The x data group is more consistent because the standard deviation is smaller.
O The two groups are equally consistent because the standard deviations are equal.
O The y data group is more consistent because the standard deviation is smaller
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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.). x: Percentage success for mallard duck nests 11 74 68 11 74 y: Percentage success for Canada goose nests 15 21 42 54 24 n USE SALT (a) Use a calculator to verify that Ex = 238; Ex2 = 15,818; Ey = 156; and Ey2 = 5,922. Σχ Ex² Ey Ey² (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.) (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 s2 (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.) CV % % Write a brief explanation of the meaning of these numbers. What do these results say about the nesting success rates for mallards compared to Canada geese? O The CV is the ratio of the standard deviation to the mean; the CV for Canada goose nests is higher. O The CV is the ratio of the standard deviation to the mean; the CV for Canada goose nests is equal to the CV for mallard nests. O The CV is the ratio of the standard deviation to the mean; the CV for mallard nests is higher. O The CV is the ratio of the standard deviation to the variance; the CV for Canada goose nests is higher. O The CV is the ratio of the standard deviation to the variance; the CV for Canada goose nests is equal to the CV for mallard nests. O The CV is the ratio of the standard deviation to the variance; the CV for mallard nests is higher. Would you say one group of data is more or less consistent than the other? Explain. O The x data group is more consistent because the standard deviation is smaller. O The two groups are equally consistent because the standard deviations are equal. O The y data group is more consistent because the standard deviation is smaller Need Help? Read It Watch It
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