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Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich
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Cooling method for gas turbines. Refer to the Journal of

Chapter 7, Problem 94E

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QUESTION:

Cooling method for gas turbines. Refer to the Journal of Engineering for Gas Turbines and Power (Jan. 2005) study of the performance of augmented gas turbine engines, Exercise 7.40 (p. 378). Recall that performance for each in a sample of 67 gas turbines was measured by heat rate (kilojoules per kilowatt per hour). The data are saved in the accompanying file. Suppose that standard gas turbines have heat rates with a standard deviation of 1,500 kJ/kWh. Is there sufficient evidence to indicate that the heat rates of the augmented gas turbine engine are more variable than the heat rates of the standard gas turbine engine? Test using \(\alpha\) = .05.

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QUESTION:

Cooling method for gas turbines. Refer to the Journal of Engineering for Gas Turbines and Power (Jan. 2005) study of the performance of augmented gas turbine engines, Exercise 7.40 (p. 378). Recall that performance for each in a sample of 67 gas turbines was measured by heat rate (kilojoules per kilowatt per hour). The data are saved in the accompanying file. Suppose that standard gas turbines have heat rates with a standard deviation of 1,500 kJ/kWh. Is there sufficient evidence to indicate that the heat rates of the augmented gas turbine engine are more variable than the heat rates of the standard gas turbine engine? Test using \(\alpha\) = .05.

ANSWER:

Step 1 of 2

The experiment under consideration is the study of the performance of the augmented gas turbine engines.

The data regarding the performance of 67 gas turbines are given.

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

9095

9421

9105

10233

10186

9918

9209

9532

9933

9152

9295

16243

14628

12766

8714

9469

11948

12414

Also, it is given that the standard deviation of heat rates for the standard gas turbines is 1,500kj/kWh.

Using this data we have to test is there any evidence to say that the heat rates of the augmented gas turbine engines are more variable than the heat rates of the standard gas turbine engines at   =0.05.

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