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 (a) Calculate an upper confidence bound for the true average time that blackbirds spend on a single visit at the experimental location. (Use ? = 0.05. Round your answer to two decimal places.) Note for part a) I got 14.13 but i'm not sure where I went wrong (b) Compute the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) (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 ? = 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

(a) Calculate an upper confidence bound for the true average time that blackbirds spend on a single visit at the experimental location. (Use ? = 0.05. Round your answer to two decimal places.)

*Note for part a) I got 14.13 but i'm not sure where I went wrong*

(b) Compute the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)

(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 ? = 0.05. Round your answers to two decimal places.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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