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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 SE mean Blackbirds Exptl 30 13.1 .01 Blackbirds Natural 15 9.c 1.79 Silvereyes Exptl 31 49.5 4.79 Silvereyes Natural 28 38.2 5.09 (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 (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 #2 for blackbirds at the natural location.) OHO: H 1 - 12 = 0 Ha: H 1 - H2 so OHO: H 1 - H2 = 0 Ha : H1 - 12 # 0 OHO : H 1 - H 2 = 0 Ha : H 1 - 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.) 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 Reject Ho. The data suggests the true average time spent by blackbirds at the experimental location exceeds that of blackbirds at the natural location. 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. (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 - Hblackbirds. Use a = 0.05. Round your answers to two decimal places.) sec