A study was conducted by the Florida Game and Fish Commission to assess the amounts of chemical residues found in the brain tissue of brown pelicans. In a test for DDT, random samples of n₁ =12 juveniles and n₂ = 15 nestlings produced the results shown in the accompanying table (measurements in parts per million, ppm). n Mean Juveniles Nestlings 15.000 12.000 0.043 Standard Deviation 0.016 0.027 0.013 (a) Use R to test the hypothesis that mean amounts of DDT found in juveniles and nestlings do not differ versus the alternative, that the juveniles have a larger mean. Use a = 0.05. (This test has important implications regarding the accumulation of DDT over time.) State the null and alternative hypotheses (in ppm). (Enter != for as needed. Let juveniles constitute population 1 and nestlings constitute population 2.) Ho State the rejection region. (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused region.) test statistic > test statistic < Calculate the appropriate test statistic. (Use Juveniles - Nestlings. Round your answer to two decimal places.) What is the conclusion of your test? O Fail to reject Ho. There is not enough evidence to conclude that mean amounts of DDT found in juveniles are larger than that of nestlings. Fail to reject H. There is enough evidence to conclude that mean amounts of DDT found in juveniles are larger than that of nestlings. Reject Ho. There is not enough evidence to conclude that mean amounts of DDT found in juveniles are larger than that of nestlings. Reject H. There is enough evidence to conclude that mean amounts of DDT found in juveniles are larger than that of nestlings. (b) Use R to find the exact p-value for part (a). (Round your answer to four decimal places.) p-value= (c) Use R to determine if there is evidence that the mean for juveniles exceeds that for nestlings by more than 0.01 ppm. Use α = 0.05. State the null and alternative hypotheses (in ppm). (Enter != for as needed. Let juveniles constitute population 1 and nestlings constitute population 2.) Mai H₂ Calculate the appropriate test statistic. (Use Juveniles - Nestlings. Round your answer to two decimal places.) Calculate the attained level of significance for the test. (Round your answer to four decimal places.) What is the conclusion of your test? O Reject Ho. There is enough evidence to conclude that the mean for juveniles exceeds that for nestlings by more than 0.01 ppm. O Reject Ho. There is not enough evidence to conclude that the mean for juveniles exceeds that for nestlings by more than 0.01 ppm. O Fail to reject Ho. There is enough evidence to conclude that the mean for juveniles exceeds that for nestlings by more than 0.01 ppm. Fail to reject Ho. There is not enough evidence to conclude that the mean for juveniles exceeds that for nestlings by more than 0.01 ppm.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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A study was conducted by the Florida Game and Fish Commission to assess the amounts of chemical residues found in the brain tissue of brown pelicans. In a test for DDT, random samples of n₁ =12 juveniles and n₂ = 15 nestlings
produced the results shown in the accompanying table (measurements in parts per million, ppm).
n
Mean
Juveniles
Nestlings
15.000
12.000
0.043
Standard Deviation 0.016
0.027
0.013
(a) Use R to test the hypothesis that mean amounts of DDT found in juveniles and nestlings do not differ versus the alternative, that the juveniles have a larger mean. Use a = 0.05. (This test has important implications regarding the
accumulation of DDT over time.)
State the null and alternative hypotheses (in ppm). (Enter != for as needed. Let juveniles constitute population 1 and nestlings constitute population 2.)
Ho
State the rejection region. (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused region.)
test statistic >
test statistic <
Calculate the appropriate test statistic. (Use Juveniles - Nestlings. Round your answer to two decimal places.)
What is the conclusion of your test?
O Fail to reject Ho. There is not enough evidence to conclude that mean amounts of DDT found in juveniles are larger than that of nestlings.
Fail to reject H. There is enough evidence to conclude that mean amounts of DDT found in juveniles are larger than that of nestlings.
Reject Ho. There is not enough evidence to conclude that mean amounts of DDT found in juveniles are larger than that of nestlings.
Reject H. There is enough evidence to conclude that mean amounts of DDT found in juveniles are larger than that of nestlings.
(b) Use R to find the exact p-value for part (a). (Round your answer to four decimal places.)
p-value=
Transcribed Image Text:A study was conducted by the Florida Game and Fish Commission to assess the amounts of chemical residues found in the brain tissue of brown pelicans. In a test for DDT, random samples of n₁ =12 juveniles and n₂ = 15 nestlings produced the results shown in the accompanying table (measurements in parts per million, ppm). n Mean Juveniles Nestlings 15.000 12.000 0.043 Standard Deviation 0.016 0.027 0.013 (a) Use R to test the hypothesis that mean amounts of DDT found in juveniles and nestlings do not differ versus the alternative, that the juveniles have a larger mean. Use a = 0.05. (This test has important implications regarding the accumulation of DDT over time.) State the null and alternative hypotheses (in ppm). (Enter != for as needed. Let juveniles constitute population 1 and nestlings constitute population 2.) Ho State the rejection region. (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused region.) test statistic > test statistic < Calculate the appropriate test statistic. (Use Juveniles - Nestlings. Round your answer to two decimal places.) What is the conclusion of your test? O Fail to reject Ho. There is not enough evidence to conclude that mean amounts of DDT found in juveniles are larger than that of nestlings. Fail to reject H. There is enough evidence to conclude that mean amounts of DDT found in juveniles are larger than that of nestlings. Reject Ho. There is not enough evidence to conclude that mean amounts of DDT found in juveniles are larger than that of nestlings. Reject H. There is enough evidence to conclude that mean amounts of DDT found in juveniles are larger than that of nestlings. (b) Use R to find the exact p-value for part (a). (Round your answer to four decimal places.) p-value=
(c) Use R to determine if there is evidence that the mean for juveniles exceeds that for nestlings by more than 0.01 ppm. Use α = 0.05.
State the null and alternative hypotheses (in ppm). (Enter != for as needed. Let juveniles constitute population 1 and nestlings constitute population 2.)
Mai
H₂
Calculate the appropriate test statistic. (Use Juveniles - Nestlings. Round your answer to two decimal places.)
Calculate the attained level of significance for the test. (Round your answer to four decimal places.)
What is the conclusion of your test?
O Reject Ho. There is enough evidence to conclude that the mean for juveniles exceeds that for nestlings by more than 0.01 ppm.
O Reject Ho. There is not enough evidence to conclude that the mean for juveniles exceeds that for nestlings by more than 0.01 ppm.
O Fail to reject Ho. There is enough evidence to conclude that the mean for juveniles exceeds that for nestlings by more than 0.01 ppm.
Fail to reject Ho. There is not enough evidence to conclude that the mean for juveniles exceeds that for nestlings by more than 0.01 ppm.
Transcribed Image Text:(c) Use R to determine if there is evidence that the mean for juveniles exceeds that for nestlings by more than 0.01 ppm. Use α = 0.05. State the null and alternative hypotheses (in ppm). (Enter != for as needed. Let juveniles constitute population 1 and nestlings constitute population 2.) Mai H₂ Calculate the appropriate test statistic. (Use Juveniles - Nestlings. Round your answer to two decimal places.) Calculate the attained level of significance for the test. (Round your answer to four decimal places.) What is the conclusion of your test? O Reject Ho. There is enough evidence to conclude that the mean for juveniles exceeds that for nestlings by more than 0.01 ppm. O Reject Ho. There is not enough evidence to conclude that the mean for juveniles exceeds that for nestlings by more than 0.01 ppm. O Fail to reject Ho. There is enough evidence to conclude that the mean for juveniles exceeds that for nestlings by more than 0.01 ppm. Fail to reject Ho. There is not enough evidence to conclude that the mean for juveniles exceeds that for nestlings by more than 0.01 ppm.
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