Homework9key - 1 Homework 9 (19.5 points) due Nov. 18 (3...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 Homework 9 (19.5 points) due Nov. 18 (3 pts.) 10.8 (p.450). A chemical engineer conducts an experiment to tests the effects of gas flow rate (factor A) and liquid flow rate (factor B) on the gas film heat transfer coefficient (Btu/hr ft 2 ). Four levels of each factor are used in the study, and two replications are conduction at each combination of factor levels: Factor B 1 2 3 4 Factor A 1 200,211 226,219 240,249 261,250 2 278,267 312,324 330,337 381,375 3 369,355 416,402 462,457 517,524 4 500,487 575,593 645,632 733,718 SAS infile: factorA-gas factorB-liquid HeatTransfer 1 1 200 1 1 226 1 2 240 1 2 261 1 3 211 1 3 219 1 4 249 1 4 250 2 1 278 2 1 312 2 2 330 2 2 381 2 3 267 2 3 324 2 4 337 2 4 375 3 1 369 3 1 416 3 2 462 3 2 517 3 3 355 3 3 402 3 4 457 3 4 524 4 1 500 4 1 575 4 2 645 4 2 733 4 3 487 4 3 593 4 4 632 4 4 718 SAS code: data X10_8; infile 'H:x10-2-8t.txt' ; input gas liquid transfer @@; run ; proc glm data =X10_8; class gas liquid; model transfer=gas|liquid; run ; SAS output: Sum of Source DF Squares Mean Square F Value Pr > F Model 15 734536.2188 48969.0813 755.19 <.0001 Error 16 1037.5000 64.8438 Corrected Total 31 735573.7188 Source DF Type I SS Mean Square F Value Pr > F gas 3 635592.3438 211864.1146 3267.30 <.0001 liquid 3 79607.0938 26535.6979 409.23 <.0001 gas*liquid 9 19336.7813 2148.5313 33.13 <.0001 2 a) Use = 0.01 to test the hypothesis that gas flow rate has no effect on the heat transfer coefficient. The gas flow rate is Factor A: 1: Let 1 be the mean heat transfer coefficient for Factor A, gas flow rate, method 1. Let 2 be the mean heat transfer coefficient for Factor A, gas flow rate, method 2. Let 3 be the mean heat transfer coefficient for Factor A, gas flow rate, method 3. Let 4 be the mean heat transfer coefficient for Factor A, gas flow rate, method 4. 2. H : There is no effect on the heat transfer coefficient for gas flow rate. H A : There is an effect on the heat transfer coefficient from gas flow rate. 3. = 0.01 4. From SAS: F = 3267.30 ? ? = ¡? ¡¢ = 211864.1146 64.8438 = 3267.30 5. From SAS: P < 0.0001 df 1 = 3, df 2 = 16, P(F > 9.01) = 0.001 ==> P < 0.001 6. Reject H because 0.0001 0.01 7. This data does give strong support (P < 0.0001) to the claim that there is an effect on the heat transfer coefficient from the gas flow rate. b) Use = 0.01 to test the hypothesis that liquid flow rate has no effect on the heat transfer coefficient. The liquid flow rate is Factor B: 1: Let 1 be the mean heat transfer coefficient for Factor B, liquid flow rate, method 1. Let 2 be the mean heat transfer coefficient for Factor B, liquid flow rate, method 2. Let 3 be the mean heat transfer coefficient for Factor B, liquid flow rate, method 3....
View Full Document

This note was uploaded on 03/26/2012 for the course STAT 350 taught by Professor Staff during the Spring '08 term at Purdue University.

Page1 / 16

Homework9key - 1 Homework 9 (19.5 points) due Nov. 18 (3...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online