Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Damage to grapes from bird predation is a serious problem for grape growers. An article reported on an experiment involving a bird-feeder table, time-lapse video, and artificial foods. Information
was collected for two different bird species at both the experimental location and at a natural vineyard setting. Consider the following data on time (sec) spent on a single visit to the location. (Note:
Assume the populations are normally distributed.)
Species
Blackbirds
Blackbirds
Silvereyes
Silvereyes
sec
Location
Exptl
Natural
Exptl
Natural
CHỏi thì t2=0
Ha: H1 - H2 +0
Hỏi thì t2 =0
На: Н1 - H2>0
n
(a) Calculate an upper confidence bound for the true average time that blackbirds spend on a single visit at the experimental location. (Use a = 0.05. Round your answer to two decimal
places.)
о но Hi-H2=0
Hai khi thi 50
t=
P-value =
35
30
33
28
X
13.1
9.5
49.5
38.2
(b) Does it appear that true average time spent by blackbirds at the experimental location exceeds the true average time birds of this type spend at the natural location? Carry out a test of
appropriate hypotheses. (Use a = 0.05.)
SE mean
2.01
1.78
4.79
5.05
State the relevant hypotheses. (Use ₁ for blackbirds at the experimental location and ₂ for blackbirds at the natural location.)
о но нi-H2=0
на: М1 -H2 <0
Compute the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
State the conclusion in the problem context.
O Fail to reject Ho. The data suggests the true average time spent by blackbirds at the experimental location exceeds that of blackbirds at the natural location.
O Fail to reject Ho. The data suggests the true average time spent by blackbirds at the experimental location does not exceed that of blackbirds at the natural location.
O Reject Ho. The data suggests the true average time spent by blackbirds at the experimental location does not exceed that of blackbirds at the natural location.
O Reject Ho. The data suggests the true average time spent by blackbirds at the experimental location exceeds that of blackbirds at the natural location.
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Transcribed Image Text:Damage to grapes from bird predation is a serious problem for grape growers. An article reported on an experiment involving a bird-feeder table, time-lapse video, and artificial foods. Information was collected for two different bird species at both the experimental location and at a natural vineyard setting. Consider the following data on time (sec) spent on a single visit to the location. (Note: Assume the populations are normally distributed.) Species Blackbirds Blackbirds Silvereyes Silvereyes sec Location Exptl Natural Exptl Natural CHỏi thì t2=0 Ha: H1 - H2 +0 Hỏi thì t2 =0 На: Н1 - H2>0 n (a) Calculate an upper confidence bound for the true average time that blackbirds spend on a single visit at the experimental location. (Use a = 0.05. Round your answer to two decimal places.) о но Hi-H2=0 Hai khi thi 50 t= P-value = 35 30 33 28 X 13.1 9.5 49.5 38.2 (b) Does it appear that true average time spent by blackbirds at the experimental location exceeds the true average time birds of this type spend at the natural location? Carry out a test of appropriate hypotheses. (Use a = 0.05.) SE mean 2.01 1.78 4.79 5.05 State the relevant hypotheses. (Use ₁ for blackbirds at the experimental location and ₂ for blackbirds at the natural location.) о но нi-H2=0 на: М1 -H2 <0 Compute the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) State the conclusion in the problem context. O Fail to reject Ho. The data suggests the true average time spent by blackbirds at the experimental location exceeds that of blackbirds at the natural location. O Fail to reject Ho. The data suggests the true average time spent by blackbirds at the experimental location does not exceed that of blackbirds at the natural location. O Reject Ho. The data suggests the true average time spent by blackbirds at the experimental location does not exceed that of blackbirds at the natural location. O Reject Ho. The data suggests the true average time spent by blackbirds at the experimental location exceeds that of blackbirds at the natural location.
Silvereyes
(a) Calculate an upper confidence bound for the true average time that blackbirds spend on a single visit at the experimental location. (Use a = 0.05. Round your answer to two decimal
places.)
sec
но: H1-М2 =0
Hai thì k2 < 0
с. Но Hi-H2 = 0
Hai thì thay #0
© Hoi thi kha = 0
Нa: H1 - H2>0
о но ну-H2=0
Natural
(b) Does it appear that true average time spent by blackbirds at the experimental location exceeds the true average time birds of this type spend at the natural location? Carry out a test of
appropriate hypotheses. (Use a = 0.05.)
State the relevant hypotheses. (Use ₁ for blackbirds at the experimental location and ₂ for blackbirds at the natural location.)
H₂H₁ H₂ ≤0
28
38.2
5.05
Compute the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
t =
P-value =
State the conclusion in the problem context.
O Fail to reject Ho. The data suggests the true average time spent by blackbirds at the experimental location exceeds that of blackbirds at the natural location.
O Fail to reject Ho. The data suggests the true average time spent by blackbirds at the experimental location does not exceed that of blackbirds at the natural location.
O Reject Ho. The data suggests the true average time spent by blackbirds at the experimental location does not exceed that of blackbirds at the natural location.
Reject Ho. The data suggests the true average time spent by blackbirds at the experimental location exceeds that of blackbirds at the natural location.
(c) Estimate the difference between the true average time blackbirds spend at the natural location and true average time that silvereyes spend at the natural location, and do so in a way
that conveys information about reliability and precision. (Use a 95% confidence interval for silvereyes blackbirds. Use α = 0.05. Round your answers to two decimal places.)
) sec
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Transcribed Image Text:Silvereyes (a) Calculate an upper confidence bound for the true average time that blackbirds spend on a single visit at the experimental location. (Use a = 0.05. Round your answer to two decimal places.) sec но: H1-М2 =0 Hai thì k2 < 0 с. Но Hi-H2 = 0 Hai thì thay #0 © Hoi thi kha = 0 Нa: H1 - H2>0 о но ну-H2=0 Natural (b) Does it appear that true average time spent by blackbirds at the experimental location exceeds the true average time birds of this type spend at the natural location? Carry out a test of appropriate hypotheses. (Use a = 0.05.) State the relevant hypotheses. (Use ₁ for blackbirds at the experimental location and ₂ for blackbirds at the natural location.) H₂H₁ H₂ ≤0 28 38.2 5.05 Compute the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O Fail to reject Ho. The data suggests the true average time spent by blackbirds at the experimental location exceeds that of blackbirds at the natural location. O Fail to reject Ho. The data suggests the true average time spent by blackbirds at the experimental location does not exceed that of blackbirds at the natural location. O Reject Ho. The data suggests the true average time spent by blackbirds at the experimental location does not exceed that of blackbirds at the natural location. Reject Ho. The data suggests the true average time spent by blackbirds at the experimental location exceeds that of blackbirds at the natural location. (c) Estimate the difference between the true average time blackbirds spend at the natural location and true average time that silvereyes spend at the natural location, and do so in a way that conveys information about reliability and precision. (Use a 95% confidence interval for silvereyes blackbirds. Use α = 0.05. Round your answers to two decimal places.) ) sec
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