Problem

Cooling method for gas turbines. During periods of high demand for electricity—especially...

Cooling method for gas turbines. During periods of high demand for electricity—especially in the hot summer months—the power output from a gas turbine engine can drop dramatically. One way to counter this drop in power is by cooling the inlet air to the turbine. An increasingly popular cooling method uses high-pressure inlet fogging. The performance of a sample of 67 gas turbines augmented with high-pressure inlet fogging was investigated in the Journal of Engineering for Gas Turbines and Power (Jan. 2005). One measure of performance is heat rate (kilojoules per kilowatt per hour). Heat rates for the 67 gas turbines, saved in the GASTURBINE file, are listed in the next table. Suppose that a standard gas turbine has, on average, a heat rate of 10,000 kJ/kWh.

a. Conduct a test to determine whether the mean heat rate of gas turbines augmented with high-pressure inlet fogging exceeds 10,000 kJ/kWh. Use a = .05.


b. Identify a Type I error for this study. Identify a Type II error.

14622

13196

11948

11289

11964

10526

10387

10592

10460

10086

14628

13396

11726

11252

12449

11030

10787

10603

10144

11674

11510

10946

10508

10604

10270

10529

10360

14796

12913

12270

11842

10656

11360

11136

10814

13523

11289

11183

10951

9722

10481

9812

9669

9643

9115

9115

11588

10888

9738

9295

9421

9105

10233

10186

9918

9209

9532

9933

9152

9295

16243

14628

12766

8714

9469

11948

12414

 

 

 

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