o lizards play a role in spreading plant seeds? Some research carried out in a country weuld 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 ecorded how many of the seeds germinated. This resulted in 20 ebservations for each treatment. The treatment means and standard deviations are given in the accompanying table. Treatment n Uneaten figs 20 2.40 0.30 Lizard dung 20 2.75 0.36 Bird dung 20 2.10 0.35 Hyrax dung 20 1.85 0.29 A USE SALT (a) Construct the appropriate ANOVA table. and test the hypothesis that there is no difference betreen 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 Hean df Square Treatments E 12 724 4240 42 0 1x 7492 O 099 x Error 20 23 Tetal Use technology to find the Prvalue. (Round your answer to four decimal places.) Pvalue - 0 What can you cenclude? O 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. O Fail to reject He The data provide convincing evidence to support the claim that the mean number of seeds germinating is net the same for all four treatments. O Fail to reject He- 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 Ha The data provide convincing evidence to support the claim that the mean number of seeds germinating is net the same for all four treatments.

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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 they
recorded hovw 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.
Treatment
Uneaten figs
20
2.80
0.30
Lizard dung
20 2.75
0.36
Bird dung
20
2.10
0.35
Hyrax dung
20 1.85
0.29
n 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
statistic to two decimal places.)
Source of
Sum of
Mean
df
Variation
Squares
Square
Treatments
3
12.738
4.246
42.887
Error
76
7.492
0.099
Total
79
20.23
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value = 0
What can you conclude?
O 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.
O Fail to reject Hn: 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 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 Reject Hn. 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
]× )
0.338
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 excreted by lizards germinate at a higher rate from those eaten and then excreted by birds.
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 by
birds.
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 Ssince 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.
Transcribed Image Text: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 they recorded hovw 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. Treatment Uneaten figs 20 2.80 0.30 Lizard dung 20 2.75 0.36 Bird dung 20 2.10 0.35 Hyrax dung 20 1.85 0.29 n 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 statistic to two decimal places.) Source of Sum of Mean df Variation Squares Square Treatments 3 12.738 4.246 42.887 Error 76 7.492 0.099 Total 79 20.23 Use technology to find the P-value. (Round your answer to four decimal places.) P-value = 0 What can you conclude? O 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. O Fail to reject Hn: 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 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 Reject Hn. 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 ]× ) 0.338 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 excreted by lizards germinate at a higher rate from those eaten and then excreted by birds. 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 by birds. 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 Ssince 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.
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