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 1. Using visual inspection with the given histogram and Q-Q Plot below, do the data show evidence that the wing length of common houseflies follows the normal distribution? Explain by interpreting each graph. Figure 1. Histogram Figure 2. Q-Q Plot 2. Using the Wilk-Shapiro Test with R software output given below, do the data show evidence that the wing length of common houseflies follows the normal distribution at a=1%? Complete the following steps: Shapiro-Wilk normality st wing_length W = 0.97258, p-value = 0.8942 data: Но: На: Decision Rule: p-value: Decision: Conclusion: 3. Find a point estimate of the true mean wing length of common houseflies.

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Given the data, answer questions 1to 3. Show solutions 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
3.7
2.6
2.8
3.9
3.3
3.6
3.7
4.1
4.7
4.8
5.1
5.2
5.6
1. Using visual inspection with the given histogram and Q-Q Plot below, do
the data show evidence that the wing length of common houseflies follows
the normal distribution? Explain by interpreting each graph.
2.
nom quarties
Figure 1. Histogram
Figure 2. Q-Q Plot
2. Using the Wilk-Shapiro Test with R software output given below, do the
data show evidence that the wing length of common houseflies follows the
normal distribution at a=1%? Complete the following steps:
Shapiro-Wilk normality test
data:
wing_length
W = 0.97258, p-value = 0.8942
Но:
На:
Decision Rule:
p-value:
Decision:
Conclusion:
3. Find a point estimate of the true mean wing length of common houseflies.
N/35
570
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 3.7 2.6 2.8 3.9 3.3 3.6 3.7 4.1 4.7 4.8 5.1 5.2 5.6 1. Using visual inspection with the given histogram and Q-Q Plot below, do the data show evidence that the wing length of common houseflies follows the normal distribution? Explain by interpreting each graph. 2. nom quarties Figure 1. Histogram Figure 2. Q-Q Plot 2. Using the Wilk-Shapiro Test with R software output given below, do the data show evidence that the wing length of common houseflies follows the normal distribution at a=1%? Complete the following steps: Shapiro-Wilk normality test data: wing_length W = 0.97258, p-value = 0.8942 Но: На: Decision Rule: p-value: Decision: Conclusion: 3. Find a point estimate of the true mean wing length of common houseflies. N/35 570
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