Do lizards play a role in spreading plant seeds? Some research carried out in a country would suggest so. The researchers collected 400 seeds of this particular type of fig, 100 of which were from each treatment: lizard dung, bird dung, rock hyrax dung, and uneaten figs. They planted these seeds in batches of 5, and for each group of 5 theyrecorded how many of the seeds germinated. This resulted in 20 observations for each treatment. The treatment means and standard deviations are given in the accompanying table.TreatmentnUneaten figs20 | 2.800.30Lizard dung20 2.750.36Bird dung20 2.100.35Hyrax dung20 1.850.29n USE SALT(a) Construct the appropriate ANOVA table, and test the hypothesis that there is no difference between the means for the number of seeds germinating for the four treatments. (Use a = 0.05. Round your mean squares to three decimal places and F statistic to two decimal places.)Source ofVariationSum ofSquaresMeandfFSquareTreatments313.454.48333342.08Error768.09780.10655Total7921.5478Use technology to find the P-value. (Round your answer to four decimal places.)P-value = 0What can you conclude?O Reject Hn: The data do not provide convincing evidence to support the claim that the mean number of seeds germinating is not the same for all four treatments.O Fail to reject Ho. The data provide convincing evidence to support the claim that the mean number of seeds germinating is not the same for all four treatments.O Fail to reject Ho. The data do not provide convincing evidence to support the claim that the mean number of seeds germinating is not the same for all four treatments.O Reject H. The data provide convincing evidence to support the claim that the mean number of seeds germinating is not the same for all four treatments.(b) Is there evidence that seeds eaten and then excreted by lizards germinate at a higher rate, on average, than those eaten and then excreted by birds? Give statistical evidence to support your answer.Report the 95% T-K interval for Hizard - Hbird. (Round your answers to three decimal places.)x 0.862]× )0.338Does the interval provide evidence that seeds eaten and then excreted by lizards germinate at a higher rate, on average, than those eaten and then excreted by birds?O Since both endpoints of the interval are negative, we have convincing evidence that seeds eaten and then excreted by lizards germinate at a higher rate from those eaten and then excreted by birds.O Since both endpoints of the interval are positive, we do not have convincing evidence that seeds eaten and then excreted by lizards germinate at a higher rate from those eaten and then excreted bybirds.O Since both endpoints of the interval are positive, we have convincing evidence that seeds eaten and then excreted by lizards germinate at a higher rate from those eaten and then excreted by birds.O Since the interval contains zero, we do not have convincing evidence that seeds eaten and then excreted by lizards germinate at a higher rate from those eaten and then excreted by birds.O Since the interval contains zero, we have convincing evidence that seeds eaten and then excreted by lizards germinate at a higher rate from those eaten and then excreted by birds.

Solution: From the given information, the number of treatments is 4. The sample size for each…

Do lizards play a role in spreading plant seeds? Some research carried out in a country would suggest so. The researchers collected 400 seeds of this particular type of fig. 100 of which were from each treatmenti lizard dung. bird dung, rock hyrax dung. and uneaten figs. They planted these seeds in batches of 5. and for each group of 5 they recorded how many of the seeds germinated. This resulted in 20 observations for each treatment. The treatment means and standard deviations are given in the accompanying table. Treatmentn Es Uneaten figs 20 2.80 0.30 Lizard dung 20 2.75 0.36 20 2.10 0.35 Hyrax dung 20 1.45 0.29 Bird dung A USE SALT (a) Construct the appropriate ANOVA table. and test the hypothesis that there is no difference between the means for the number of seeds germinating for the four treatments. (Use a- 0.05. Round your mean squares to three decimal places and Fstatistic to two decimal places.) Source of Variation Sum of Squares Mean Square IP Treatments 3 1345 4483333 42 00 Error 70 8.0078 O 10055 70 21.5478 Total Use technology to find the P-value. (Round your answer to four decimal places.) Prvalue- 0 What can you cenclude? O Reject Hg. The data do not provide convincing evidence to support the claim that the mean number of seeds germinating is not the same for all four treatments O Fail to reject Ha The data provide convincing evidence to support the claim that the mean number of seeds germinating is not the same for all four treatments. O Fail to reject H. The data do not provide convincing evidence to support the claim that the mean number of seeds germinating is not the same for all four treatments. Reject H. The data provide convincing evidence to support the claim that the mean number of seeds germinating is not the same for all four treatments. (b) Is there evidence that seeds eaten and then excreted by lizards germinate at a higher rate, on average. than these eaten and then excreted by birds? Give statistical evidence to support your anser. Report the 95 T-K interval for ard-Hird. (Round your ansvers to three decimal places.) (0339 Ox D802 x ) Does the interval provide evidence that seeds eaten and then excreted by lizards germinate at a higher rate, on average, than those eaten and then excreted by birds? O Since both endpoints of the interval are negative, we have convincing evidence that seeds eaten and then exereted by lizards germinate at a higher rate from these eaten and then excreted by birds. O Since both endpoints of the interval are positive, we de nat have convincing evidence that seeds eaten and then excreted by lizards germinate at a higher rate from theose eaten and then excreted by birds. Since both endpoints of the interval are positive, we have convincing evidence that seeds eaten and then excreted by lizards germinate at a higher rate from those eaten and then excreted by birds. lO Since the interval contains zero, we do not have convincing evidence that seeds eaten and then excreted by lizards germinate at a higher rate from those eaten and then excreted by birds. O xcreted by birds. Since the interval contains zero, we have convincing evidence that seeds eaten and then excreted by izards germinate at a higher rate from those eaten and then ex

Do lizards play a role in spreading plant seeds? Some research carried out in a country would suggest so. The researchers collected 400 seeds of this particular type of fig. 100 of which were from each treatmenti lizard dung. bird dung, rock hyrax dung. and uneaten figs. They planted these seeds in batches of 5. and for each group of 5 they recorded how many of the seeds germinated. This resulted in 20 observations for each treatment. The treatment means and standard deviations are given in the accompanying table. Treatmentn Es Uneaten figs 20 2.80 0.30 Lizard dung 20 2.75 0.36 20 2.10 0.35 Hyrax dung 20 1.45 0.29 Bird dung A USE SALT (a) Construct the appropriate ANOVA table. and test the hypothesis that there is no difference between the means for the number of seeds germinating for the four treatments. (Use a- 0.05. Round your mean squares to three decimal places and Fstatistic to two decimal places.) Source of Variation Sum of Squares Mean Square IP Treatments 3 1345 4483333 42 00 Error 70 8.0078 O 10055 70 21.5478 Total Use technology to find the P-value. (Round your answer to four decimal places.) Prvalue- 0 What can you cenclude? O Reject Hg. The data do not provide convincing evidence to support the claim that the mean number of seeds germinating is not the same for all four treatments O Fail to reject Ha The data provide convincing evidence to support the claim that the mean number of seeds germinating is not the same for all four treatments. O Fail to reject H. The data do not provide convincing evidence to support the claim that the mean number of seeds germinating is not the same for all four treatments. Reject H. The data provide convincing evidence to support the claim that the mean number of seeds germinating is not the same for all four treatments. (b) Is there evidence that seeds eaten and then excreted by lizards germinate at a higher rate, on average. than these eaten and then excreted by birds? Give statistical evidence to support your anser. Report the 95 T-K interval for ard-Hird. (Round your ansvers to three decimal places.) (0339 Ox D802 x ) Does the interval provide evidence that seeds eaten and then excreted by lizards germinate at a higher rate, on average, than those eaten and then excreted by birds? O Since both endpoints of the interval are negative, we have convincing evidence that seeds eaten and then exereted by lizards germinate at a higher rate from these eaten and then excreted by birds. O Since both endpoints of the interval are positive, we de nat have convincing evidence that seeds eaten and then excreted by lizards germinate at a higher rate from theose eaten and then excreted by birds. Since both endpoints of the interval are positive, we have convincing evidence that seeds eaten and then excreted by lizards germinate at a higher rate from those eaten and then excreted by birds. lO Since the interval contains zero, we do not have convincing evidence that seeds eaten and then excreted by lizards germinate at a higher rate from those eaten and then excreted by birds. O xcreted by birds. Since the interval contains zero, we have convincing evidence that seeds eaten and then excreted by izards germinate at a higher rate from those eaten and then ex

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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