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Kale Eichmann

Feb 20, 2025

Need help with a statistics problem!?

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 above 8 miles per hours, according to the Wind Energy Association. One candidate site was monitored for a tear, with wind speeds recorded every 6 hours. A total of 1114 readings of wind speed averaged 8.019 mph with a standard deviation of 3.813 mph. You've been asked to make a statistical report to help the landowner decide whether to place a wind turbine at this site.a) Discuss the assumptions and conditions for using Student's t inference methods with this data.b) What would you tell the landowner about whether this site is suitable for a small wind turbine? Explain.Any and all help would be GREATLY appreciated!! Thank you.

1 Answers

Brookea) Discuss the assumptions and conditions for using Student's t inference methods with this data.The samples being compared should have a reasonably symmetrical distribution;The samples being compared should have a mean which is close to the center of the distribution:The distribution should have only one mode (highest point in the frequency histogram).However, since n is very large (1114), you can safely use a Standard Normal table.b) What would you tell the landowner about whether this site is suitable for a small wind turbine? Explain. Ho: mean = 8Ha: mean < 8z-statistic = (8.018 - 8) / (3.813 / sqrt 1114) = 0.16P-value = P(z < 0.16) = 0.5636 [from Standard Normal table]Since the P-value is very large (>0.05), do NOT reject the null hypothesis. Tell the landowner to place a wind turbine at the site.hope that helped... Show More

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