Musca domestica L. or common houseflies have wing lengths that are found to be normally distributed. To verify this, a Filipino biometrician measured the wing lengths (in cm) of 15 random houseflies in a certain area and the following data were obtained: 1.7 2.5 2.6 2.8 3.3 3.6 3.7 3.7 3.9 4.1 4.7 4.8 5.1 5.2 5.6 At 5% level of significance, test from the data if the mean wing length of common houseflies is not equal to 4.55 using the given R-software output: Note: write Ho and Ha both in symbols and in words. One Sample t-test data: wing_length t = -2.5185, df = 14, p-value = 0.02457 alternative hypothesis: true mean is not egual to 4.55 Но: На: Test procedure: Decision Rule: Computed test statistic and p-value: Decision: Conclusion:

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Author:Amos Gilat
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Answer the questions using the given data. Show solution in computations.

Musca domestica L. or common houseflies have wing lengths that are found to
be normally distributed. To verify this, a Filipino biometrician measured the wing
lengths (in cm) of 15 random houseflies in a certain area and the following data
were obtained:
1.7
2.5
2.6
3.7
2.8
3.3
4.1
3.6
3.7
3.9
4.7
4.8
5.1
5.2
5.6
At 5% level of significance, test from the data if the mean wing length of
common houseflies is not equal to 4.55 using the given R-software output:
Note: write Ho and Ha both in symbols and in words.
One Sample t-test
data:
t = -2.5185, df = 14, p-value = 0.02457
alternative hypothesis: true mean is not equal to 4.55
wing_length
Но:
На:
Test procedure:
Decision Rule:
Computed test statistic and p-value:
Decision:
Conclusion:
Transcribed Image Text:Musca domestica L. or common houseflies have wing lengths that are found to be normally distributed. To verify this, a Filipino biometrician measured the wing lengths (in cm) of 15 random houseflies in a certain area and the following data were obtained: 1.7 2.5 2.6 3.7 2.8 3.3 4.1 3.6 3.7 3.9 4.7 4.8 5.1 5.2 5.6 At 5% level of significance, test from the data if the mean wing length of common houseflies is not equal to 4.55 using the given R-software output: Note: write Ho and Ha both in symbols and in words. One Sample t-test data: t = -2.5185, df = 14, p-value = 0.02457 alternative hypothesis: true mean is not equal to 4.55 wing_length Но: На: Test procedure: Decision Rule: Computed test statistic and p-value: Decision: Conclusion:
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