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      Location      n      x      SE mean Blackbirds   Exptl   30   13.5   2.03 Blackbirds   Natural   15   9.9   1.79 Silvereyes   Exptl   32   49.5   4.75 Silvereyes   Natural   26   38.1   5.07   (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. *Note: Use a 95% confidence interval for ?silvereyes − ?blackbirds. Use ? = 0.05. Round your answers to two decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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      Location      n     
x
     SE mean
Blackbirds   Exptl   30   13.5   2.03
Blackbirds   Natural   15   9.9   1.79
Silvereyes   Exptl   32   49.5   4.75
Silvereyes   Natural   26   38.1   5.07

 

(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.

*Note: Use a 95% confidence interval for ?silvereyes − ?blackbirds. Use ? = 0.05. Round your answers to two decimal places.)

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