Question

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 hour, 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.

Answer 1

The assumptions and conditions for using student's t inference methods with the wind speed data include: random sample, small sample size, normal distribution, and independence of observations.

Step-by-step explanation:

To determine whether the site is suitable for placing a wind turbine, we can use statistical inference methods. The assumptions and conditions for using student's t inference methods with this data include:

1. The data should be a random sample from the population.
2. The sample size should be small (less than 30).
3. The underlying distribution of the population should be approximately normal.
4. The observations should be independent of each other.

In this case, we have 1114 readings of wind speeds, which can be considered a random sample. The sample size is large enough and the data can be assumed to be independent. Since we don't have information about the population distribution, we can assume that the distribution is approximately normal.