Question 8.295

biomass

33. Biomass Power Plants. Power plants around the country are retooling in order to consume biomass instead of, or in addition to, coal. The table21 contains a random sample of eight such power plants and the amount of energy generated in megawatts (MW) in 2014.

image
Normal probability plot of energy capacity in megawatts.
Company Location Capacity
(MW)
Hoge Lumber Co. New Knoxville,
Ohio
3.7
Evergreen Clean Energy Eagle, CO 12.0
GreenHunter Energy Grapevine, TX 18.5
Covanta Energy
Corporation
Niagara Falls,
NY
30.0
Northwest Energy Systems
Co.
Warm Springs,
OR
37.0
Riverstone Holdings Kenansville, NC 44.1
Lee County Solid Waste
Authority
Ft. Myers, FL 57.0
Energy Investor Funds Detroit, MI 68.0
Dominion Virginia Power Hurt, VA 83.0
Table 8.30: Source: biomassmagazine.com/plants/listplants/biomass/US.
  1. Check whether the normality condition is met.
  2. Find the critical values and for a 95% confidence interval for .
  3. Construct and interpret a 95% confidence interval for the population variance of the MW of energy generated.
  4. Construct and interpret a 95% confidence interval for the population standard deviation of the MW of energy generated.

8.4.33

(a) Acceptable normality. (b) and

(c) (319.75, 2571.91). We are 95% confident that the population variance lies between 319.75 megawatts squared and 2571.91 megawatts squared.

(d) (17.88, 50.71). We are 95% confident that the population standard deviation lies between 17.88 megawatts and 50.71 megawatts.