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MEEN 221 Exam 1 answers

Course: MEEN 221, Spring 2007
School: Texas A&M
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Texas A&M - MEEN - 221
Texas A&M - MEEN - 221
Texas A&M - KINE - 198
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Texas A&M - STAT - 211
CHAPTER 2Section 2.11.a. S = { 1324, 1342, 1423, 1432, 2314, 2341, 2413, 2431, 3124, 3142, 4123, 4132, 3214, 3241, 4213, 4231 } Event A contains the outcomes where 1 is first in the list: A = { 1324, 1342, 1423, 1432 } Event B contains the outcome
Texas A&M - STAT - 211
CHAPTER 3Section 3.11. S: X: FFF 0 SFF 1 FSF 1 FFS 1 FSS 2 SFS 2 SSF 2 SSS 32.X = 1 if a randomly selected book is non-fiction and X = 0 otherwise X = 1 if a randomly selected executive is a female and X = 0 otherwise X = 1 if a randomly select
Texas A&M - STAT - 211
CHAPTER 4Section 4.11. a. P(x 1) =1-f ( x) dx = 1 xdx = 1 x 2 2 41 0]1 0= .25b.P(.5 X 1.5) =1 .5.51 2xdx = 1 x 2 41 1. 5 2 2]1 .5 .5= .5c.P(x > 1.5) = 1. 5f ( x )dx = xdx = 1 x 2 4]21 .5
Texas A&M - STAT - 211
CHAPTER 5Section 5.11. a. b. c. P(X = 1, Y = 1) = p(1,1) = .20 P(X 1 and Y 1) = p(0,0) + p(0,1) + p(1,0) + p(1,1) = .42 At least one hose is in use at both islands. P(X 0 and Y 0) = p(1,1) + p(1,2) + p(2,1) + p(2,2) = .70 By summing row probabi
Texas A&M - STAT - 211
CHAPTER 6Section 6.11. a. We use the sample mean,x to estimate the population mean .^ =x=b.xi 219.80 = = 8.1407 n 27We use the sample median, ascending order).~ = 7.7 (the middle observation when arranged in x1860.94 - ( 219.8) 27 s =
Texas A&M - STAT - 211
CHAPTER 7Section 7.11. a.z 2 = 2.81 implies that 2 = 1 - (2.81) = .0025 , so = .005 and the confidencelevel is 100 1 -()% = 99.5% .b. c.z 2 = 1.44 for = 2[1 - (1.44)] = .15 , and 100(1 - )% = 85% .99.7% implies that = .003 , 2
Texas A&M - STAT - 211
CHAPTER 9Section 9.11. a.E (X - Y ) = E( X ) - E (Y ) = 4.1 - 4.5 = -.4 , irrespective of sample sizes.V ( X - Y ) = V (X ) + V (Y ) =of2 12 2 (1 .8) (2.0) = .0724 , and the s.d. + = + m n 100 100 2 2b.X - Y = .0724 = .2691 .c.A norm
Texas A&M - STAT - 211
CHAPTER 8Section 8.11. a. b. c. d. Yes. It is an assertion about the value of a parameter. No. The sample median~ X is not a parameter.No. The sample standard deviation s is not a parameter. Yes. The assertion is that the standard deviation of
Texas A&M - STAT - 211
CHAPTER 11Section 11.11. a.30.6 59.2 7.65 = 7.65 , MSE = = 4.93 , f A = = 1.55 . Since 1.55 is 4 12 4.93 not F. 05, 4 ,12 = 3.26 , don't reject HoA . There is no difference in true average tire MSA =lifetime due to different makes of cars.b.
Texas A&M - STAT - 211
CHAPTER 10Section 10.11. a. Ho will be rejected iff F.05, 4,15 = 3.06 (since I 1 = 4, and I ( J 1 ) = (5)(3) = 15 ).The computed value of F isf = 3.06 , Ho is not rejected. The data does not indicate a difference in the mean tensile stre
Texas A&M - STAT - 211
CHAPTER 12Section 12.11. a. Stem and Leaf display of temp: 17 0 17 23 17 445 17 67 17 18 0000011 18 2222 18 445 18 6 18 8stem = tens leaf = ones180 appears to be a typical value for this data. The distribution is reasonably symmetric in appeara
Texas A&M - STAT - 211
CHAPTER 13Section 13.11. a.2 ^i is 10 1 - 1 - (x i - 15 ) = = 250 , so s.d. of Yi - Y 5 250x = 15and (xj- x)26.32, 8.37, 8.94, 8.37, and 6.32 for i = 1, 2, 3, 4, 5. b. Nowx = 20 and (xi- x ) = 1250 , giving standard deviation
Texas A&M - STAT - 211
CHAPTER 15Section 15.11.H 0 : = 100 vs. H a : 100 . The test statistic is s + = sum of the ranks associated with the positive values of ( xi - 100) , and we reject Ho at significance level .05 if s + 64 . (from Table A.13, n = 12, with / 2 =
Texas A&M - STAT - 211
CHAPTER 14Section 14.11. a. We reject Ho if the calculated 2 value is greater than or equal to the tabled value of2 , k -1 from Table A.7. Since 12.25 .2 , 4 = 9.488 , we would reject Ho . 05b. c. d.Since 8.54 is not Since 4.36 is not
Texas A&M - STAT - 211
CHAPTER 16Section 16.11. All ten values of the quality statistic are between the two control limits, so no out-of-control signal is generated.2.All ten values are between the two control limits. However, it is readily verified that all but one
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Penn State - EE - 3601
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61 thru 63Lecture 24Oerstedhttp:/www.youtube.com/watch?v=74kmsDg45ANOT STATIC ! (this took `em a while to figure out)http:/www.youtube.com/watch?v=stUDqGzpev8The loop belowConsider64 thru 66Lecture 25The loop shown belowhttp:/yo