Question

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.) n SE mean 25 Species Blackbirds Blackbirds Silvereyes Silvereyes Location Expti Natural Expti Natural 20 13.7 9.9 49.2 38.3 2.03 1.77 4.79 5.05 33 29 (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.) 17.17 sec (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 u, for blackbirds at the experimental location and uy for blackbirds at the natural location.) O Ho: - 42 = 0 Hai My - H₂>0 O H: 41 - 42 = 0 HM - M2 < 0 O Ho: 41 - U2 = 0 Ha: M, - M270 O Ho: 41 - U2 = 0 H: My - My so

Answer 1

Sol: (X-X) I Z 2, (©95% CI - SE? + SE² =(38.3-9.9) + 1.96 5.05 +1.772 (17.92 9 38.89) 95.6.CI =(19-92, 38-89)