a) Discuss the assumptions and conditions for using Student's t inference methods with these data. Here are some plots that may help you decide whether the methods can be used. Click the icon to view the histogram, scatter plot, and normal probability plot. Which of the assumptions and conditions for Student's t inference method are met? Select all that apply. A. The Nearly Normal Condition is satisfied. B. The 10% Condition is satisfied. C. The Independence Assumption is satisfied. D. The Randomization Assumption is satisfied. E. None of the assumptions are met. b) What would you tell the landowner about whether this site is suitable for a small wind turbine? Explain. Start by finding the 95% confidence interval. O A. (Round to two decimal places as needed.) OB. The confidence interval cannot be calculated because not all assumptions are met. Is this site suitable for a small wind turbine? O A. No. While the required average wind speed of 8 mph is contained within the 95% confidence interval, there are also values below 8 mph. OB. No. The 95% confidence interval only contains values less than 8 mph.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Should you generate electricity with your own personal wind​ turbine? That depends on whether you have enough wind on your site. To produce enough​ energy, your site should have an annual average wind speed of at least 8 miles per​ hour, according to the Wind Energy Association. One candidate site was monitored for a​ year, with wind speeds recorded every 6 hours. A total of 1114 readings of wind speed averaged 7.866 mph with a standard deviation of 4.329 mph. You have been asked to make a statistical report to help the landowner decide whether to place a wind turbine at this site. Complete parts a through c below.

 

a) Discuss the assumptions and conditions for using Student's t inference methods with these data. Here are some plots that may help you decide whether the methods can be used.
Click the icon to view the histogram, scatter plot, and normal probability plot.
Which of the assumptions and conditions for Student's t inference method are met? Select all that apply.
A. The Nearly Normal Condition is satisfied.
B. The 10% Condition is satisfied.
C. The Independence Assumption is satisfied.
D. The Randomization Assumption is satisfied.
E. None of the assumptions are met.
b) What would you tell the landowner about whether this site is suitable for a small wind turbine? Explain.
Start by finding the 95% confidence interval.
A.
(Round to two decimal places as needed.)
B. The confidence interval cannot be calculated because not all assumptions are met.
Is this site suitable for a small wind turbine?
O A. No. While the required average wind speed of 8 mph is contained within the 95% confidence interval, there are also values below 8 mph.
B. No. The 95% confidence interval only contains values less than 8 mph.
C. Yes. The required annual average wind speed of 8 mph is contained within the 95% confidence interval.
D. Because the 95% confidence interval cannot be calculated, it is not possible to draw a conclusion.
Transcribed Image Text:a) Discuss the assumptions and conditions for using Student's t inference methods with these data. Here are some plots that may help you decide whether the methods can be used. Click the icon to view the histogram, scatter plot, and normal probability plot. Which of the assumptions and conditions for Student's t inference method are met? Select all that apply. A. The Nearly Normal Condition is satisfied. B. The 10% Condition is satisfied. C. The Independence Assumption is satisfied. D. The Randomization Assumption is satisfied. E. None of the assumptions are met. b) What would you tell the landowner about whether this site is suitable for a small wind turbine? Explain. Start by finding the 95% confidence interval. A. (Round to two decimal places as needed.) B. The confidence interval cannot be calculated because not all assumptions are met. Is this site suitable for a small wind turbine? O A. No. While the required average wind speed of 8 mph is contained within the 95% confidence interval, there are also values below 8 mph. B. No. The 95% confidence interval only contains values less than 8 mph. C. Yes. The required annual average wind speed of 8 mph is contained within the 95% confidence interval. D. Because the 95% confidence interval cannot be calculated, it is not possible to draw a conclusion.
Wind Speed (mph)
Wind Speed (mph)
20
15
10
20
15
9
5
5
+
+
# of Readings
+
150
100
50
2
0
250
5
10
Wind Speed (mph)
500
Time
0
nscores
15
750
2
20
1000
Transcribed Image Text:Wind Speed (mph) Wind Speed (mph) 20 15 10 20 15 9 5 5 + + # of Readings + 150 100 50 2 0 250 5 10 Wind Speed (mph) 500 Time 0 nscores 15 750 2 20 1000
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