MTH 245 Semester Project

For this project, you will use the data labeled "California Wind Turbines" in Statcrunch. This data set lists a sample of the electrical generation capacity of the turbine measured in KW (kilo-watts) and the area (in sq.m.) swept on each rotation of the turbine for various wind turbines in California with no duplicates.

Complete each part of the project thoroughly so as to demonstrate your mastery of the course content. Statcrunch should be used exclusively to produce graphical displays for this report. The report should be written for a non-statistical audience using proper grammar and appropriate organization. A rubric has been provided within Canvas to guide you and should be used to ensure maximum points are awarded.

Section 1:

• Identify the population and sample.

• Analyze Variable 1 (Capacity)
  • What type of data is it, and why?
  • What level of measurement is it, and why?
  • Provide a frequency histogram that begins at zero and has eight bins.
  • Describe the histogram using CSO of CSOCS.
  • Provide the mean and median. Explain which is the better measure of center.
  • Provide the std. dev. and IQR. Explain which is the better measure of spread.
  • Provide a modified boxplot and identify any potential outliers.
  • Provide the five-number summary.
• Analyze Variable 2 (Swept Area)
  • What type of data is it, and why?
  • What level of measurement is it, and why?
  • Provide a frequency histogram that begins at zero and has eight bins.
  • Describe the histogram using CSO of CSOCS.
  • Provide the mean and median. Explain which is the better measure of center.
  • Provide the std. dev. and IQR. Explain which is the better measure of spread.
  • Provide a modified boxplot and identify any potential outliers.
  • Provide the five-number summary.

Section 2:

• Provide a 95% confidence interval for variable 1 and give an interpretation.
• Provide a 95% confidence interval for variable 2 and give an interpretation.
• According to the U.S. Wind Turbine Database, the average wind turbine capacity for the U.S. is 1670. Define and test this hypothesis against our California data using a p-value at=0.05. Explain the results of the test as well as their implication for CA windmills vs. all U.S. windmills.