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A study was conducted by the Florida Game and Fish
Chapter 10, Problem 70E(choose chapter or problem)
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 \(n_{1}=10\) juveniles and \(n_{2}=13\) nestlings produced the results shown in the accompanying table (measurements in parts per million, ppm).
Juveniles |
Nestlings |
\(n_{1}=10\) |
\(n_{2}=13\) |
\(\bar{y_{1}}=.041\) |
\(\bar{y_{2}}=.026\) |
\(s_{1}=.017\) |
\(s_{2}=.006\) |
a 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 \(\alpha=.05\). (This test has important implications regarding the accumulation of DDT over time.)
b Is there evidence that the mean for juveniles exceeds that for nestlings by more than .01 ppm?
i Bound the \(p\) -value, using a table in the appendix.
ii Applet Exercise Find the exact \(p\) -value, using the appropriate applet.
Equation Transcription:
Text Transcription:
n_1 = 10
n_2 = 13
n_1 = 10
bar {Y_1} = .041
s_1 = .017
n_2 = 13
bar {Y_2} = .026
s_2 = .006
alpha = .05
p
p
Questions & Answers
QUESTION:
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 \(n_{1}=10\) juveniles and \(n_{2}=13\) nestlings produced the results shown in the accompanying table (measurements in parts per million, ppm).
Juveniles |
Nestlings |
\(n_{1}=10\) |
\(n_{2}=13\) |
\(\bar{y_{1}}=.041\) |
\(\bar{y_{2}}=.026\) |
\(s_{1}=.017\) |
\(s_{2}=.006\) |
a 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 \(\alpha=.05\). (This test has important implications regarding the accumulation of DDT over time.)
b Is there evidence that the mean for juveniles exceeds that for nestlings by more than .01 ppm?
i Bound the \(p\) -value, using a table in the appendix.
ii Applet Exercise Find the exact \(p\) -value, using the appropriate applet.
Equation Transcription:
Text Transcription:
n_1 = 10
n_2 = 13
n_1 = 10
bar {Y_1} = .041
s_1 = .017
n_2 = 13
bar {Y_2} = .026
s_2 = .006
alpha = .05
p
p
ANSWER:Step 1 of 5
Given:
The data by the Florida Game and Fish Commission to assess the amounts of chemical residues found in the brain tissue of brown pelicans is provided.