Researchers are trying to determine if there is a difference in the average lifespan of two species of fruit fly: Ceratitis capitata and Drosophila melanogaster. They measure the lifespans of two random samples of each species. The SRS of Ceratitis capitata was of size 105 and had an average lifespan of 51 days with a standard deviation of 7 days. The SRS of Drosophila melanogaster was of size 95 and had an average lifespan of 48 days with a standard deviation of 6 days. Let μ₁ denote the mean lifespan of Ceratitis capitata and μ2 denote the mean lifespan of Drosophila melanogaster. The researchers will conduct a test of significance at level a = 0.01 to test if these two species have different average lifespans. Which hypotheses should they use? Ho M₁ = μ₂ and H₁ μ₁ μ₂ - a Ho: 1 = 2 and Ha 1 < μ2 Ho : μι = με and Ha : με > με Ho : μ = μo and Ha : μ < μο
Researchers are trying to determine if there is a difference in the average lifespan of two species of fruit fly: Ceratitis capitata and Drosophila melanogaster. They measure the lifespans of two random samples of each species. The SRS of Ceratitis capitata was of size 105 and had an average lifespan of 51 days with a standard deviation of 7 days. The SRS of Drosophila melanogaster was of size 95 and had an average lifespan of 48 days with a standard deviation of 6 days. Let μ₁ denote the mean lifespan of Ceratitis capitata and μ2 denote the mean lifespan of Drosophila melanogaster. The researchers will conduct a test of significance at level a = 0.01 to test if these two species have different average lifespans. Which hypotheses should they use? Ho M₁ = μ₂ and H₁ μ₁ μ₂ - a Ho: 1 = 2 and Ha 1 < μ2 Ho : μι = με and Ha : με > με Ho : μ = μo and Ha : μ < μο
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Transcribed Image Text:Researchers are trying to determine if there is a
difference in the average lifespan of two species of
fruit fly: Ceratitis capitata and Drosophila
melanogaster. They measure the lifespans of two
random samples of each species. The SRS of Ceratitis
capitata was of size 105 and had an average lifespan
of 51 days with a standard deviation of 7 days. The
SRS of Drosophila melanogaster was of size 95 and had
an average lifespan of 48 days with a standard
deviation of 6 days.
Let μ₁ denote the mean lifespan of Ceratitis
capitata and μ2 denote the mean lifespan of Drosophila
melanogaster.
The researchers will conduct a test of significance at
level a 0.01 to test if these two species have
different average lifespans. Which hypotheses
should they use?
Ho : μι = μ2 and Ha : μι # μ2
=
Ho: 1
=
M2 and Ha ₁ < µ2
:
Ho: μ1
Ho : μ = μo and Ha : μ < μο
=
μ₂ and Haμ₁ > µ2
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