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Reserve Problems Chapter 10 Section 2 Problem 10 The following is a random sample of 15 measurements from high-flow rivers and 13 from low- flow rivers of a total algae content (units are mg/L). High Low High Low 24.3 21.4 […]

6) Reject the null hypothesis if 12 0 1 /2, 1, 1 0.975,12,13 0.025,13,12 11 0.308 3.23 nn f f f f  − − −  = = = = or 7) Conclusion: Because 0.308 0.623 3.153 , we […]

CHAPTER 10 RESERVE PROBLEMS The following problems have been reserved for your use in assignments and testing and do not appear in student versions of the text. Reserve Problems Chapter 10 Section 1 Problem 1 Consider the hypothesis test 0 […]

CHAPTER 10 Section 10.1 10.1.1 a) 1) The parameter of interest is the difference in means μ1 – μ2. Note that 0 = 0. 7) Conclusion: Because –1.96 < –0.9 < 1.96, do not reject the null hypothesis. There is […]

(d) 0.1  = , 0.05  = . For a two-sided alternative, the common sample size is ( )( ) 1 2 1 2 2 /2 1 1 2 2 () 2 p p q q z z p […]

10.4.3 a) 1) The parameter of interest is the mean difference in natural vibration frequencies, d where di = finite element − equivalent plate. 2) H0 : μd = 0 3) H1 : μd ≠ 0 4) The test statistic […]

CHAPTER 11 RESERVE PROBLEMS The following problems have been reserved for your use in assignments and testing and do not appear in student versions of the text. Reserve Problems Chapter 11 Section 2 Problem 1 The department of health studied […]

(c) Delete the two points identified in part (b) from the sample and fit the simple linear regression model to the remaining 18 points. Calculate the value of 2 R for the new model. Is it larger or smaller than […]

Applied Statistics and Probability for Engineers, 7th edition 2017 11-21 11.7.6 a) R2 = 71.27% 11.7.7 a) The regression equation is Compressive Strength = – 2150 + 185 Density Predictor Coef SE Coef T P Constant -2149.6 332.5 -6.46 0.000 […]

Applied Statistics and Probability for Engineers, 7th edition 2017 11-32 11.10.3 a) The fitted logistic regression model is 1 ˆ 1 exp[ ( 2.08475 0.13573 )] yx =+ − − + The computer results are shown below. Binary Logistic Regression: […]

Applied Statistics and Probability for Engineers, 7th edition 2017 11-1 CHAPTER 11 Section 11-2 11.2.1 a) 01i i i yx    = + + 2 6322.28 162674.2 2789.282 250 xx S= − = b) ˆ27.643 1.846(30) 27.726y=− + […]

(a) 95% confidence interval on 1  /2, 2 0.025,30 2.042 n tt  −== ( ) 1 /2, 2 1 ˆˆ n t se   −  ( ) 0.025,30 10.092 1.288t ( ) 10.092 2.042 1.288 7.46 […]

Applied Statistics and Probability for Engineers, 7th edition 2017 CHAPTER 12 Sections 12.1 12.1.1 Exercise 11.2.1. described a regression model between percent of body fat (%BF) as measured by immersion and BMI from a study on 250 male subjects. The […]

Predictor Coef SE Coef T P Constant 7.6443 0.9530 8.02 0.015 Analysis of Variance Source DF SS MS F P Regression 4 0.005344 0.001336 1.28 0.483 Residual Error 2 0.002089 0.001044 Total 6 0.007433 20.005344 5 0.007433 7 R T […]

(b) Calculate a 95% confidence interval on mean stack loss when 180x= , 220x= , and 390x= . (c) Calculate a 95% prediction interval on stack loss for the same values of the regressors used in part (b). (d) Calculate […]

Applied Statistics and Probability for Engineers, 7th edition 2017 12-21 (b) == 2 ˆ9.48 MS  12.2.11 Consider the bearing wear data in Exercise 12.1.13. (a) For the model with no interaction, test for significance of regression using  = […]

CHAPTER 12 RESERVE PROBLEMS The following problems have been reserved for your use in assignments and testing and do not appear in student versions of the text. Reserve Problems Chapter 12 Section 1 Problem 1 During a research, the amount […]

12-41 Applied Statistics and Probability for Engineers, 7th edition 2017 Applied Statistics and Probability for Engineers, 7th edition 2017 12-42 Sections 12.6 12.6.1 An article entitled “A Method for Improving the Accuracy of Polynomial Regression Analysis” in the Journal of […]

Applied Statistics and Probability for Engineers, 7th edition 2017 (d) Stepwise Regression: W versus GF, GA, … Backward elimination. Alpha-to-Remove: 0.1 Response is W on 14 predictors, with N = 30 Step 1 2 3 4 5 6 Constant 512.2 […]

(a) What proportion of total variability is explained by this model? (b) Are there any influential points in these data? SOLUTION The regression equation is Rating Pts 2.99 1.20Pct Comp 4.60Pct TD 3.81Pct Int= + + − Predictor Coef Constant […]

Fit a multiple regression model to relate the quarterback rating to the percentage of completions, the percentage of TDs, and the percentage of interceptions. (a) Test for significance of regression using 0.05  = . What is the P-value for […]

Reserve Problems Chapter 12 Section 2 Problem 3 You have fit a regression model with three regressors to a data set that has 19 observations. The total sum of squares is 1150 and the model sum of squares is 550. […]

CHAPTER 13 RESERVE PROBLEMS The following problems have been reserved for your use in assignments and testing and do not appear in student versions of the text. Reserve Problems Chapter 13 Section 2 Problem 1 Consider the tensile strength example […]

Reserve Supplemental Exercises Chapter 13 Problem 5 Consider the following computer output. Source DF SS MS F P Factor ? ? ? ? ? Error 15 167.5 ? Total 19 326.2 S = 3.342 R − Sq = ? R […]

Applied Statistics and Probability for Engineers,7th edition 2017 13-1 CHAPTER 13 Section 13.2 13.2.1 Consider the following computer output. Source DF SS MS F P-value Factor ? 117.4 39.1 ? ? Error 16 396.8 ? Total 19 514.2 (a) How […]

Applied Statistics and Probability for Engineers,7th edition 2017 (c) Analysis of Variance for LEAKAGE VOLTAGE Source DF SS MS F P LENGTH 3 8.1775 2.7258 6.16 0.009 WIDTH 4 6.8380 1.7095 3.86 0.031 Error 12 5.3100 0.4425 Total 19 20.3255 […]

SOLUTION ANOVA output: Source DF SS MS F P Factor 2 0.144 0.072 0.443 0.644 20.1624 ˆerror MS  == 20.072 0.1624 0 ˆ.0036 25 treatments error MS MS n   −− = = = − Negative estimate of […]

13–21 Applied Statistics and Probability for Engineers,7th edition 2017 Applied Statistics and Probability for Engineers,7th edition 2017 13–22 Cross-linker level ———+———+———+———+ 0.5 (—*—) 1 (—*—) Cross-linker level = 0.5 subtracted from: Cross-linker level Lower Center Upper 1 -0.3618 -0.1667 0.0285 […]

14-21 14.5.5 An article in Journal of Construction Engineering and Management (“Analysis of Earth-Moving Systems Using Discrete—Event Simulation,” 1995, Vol. 121(4), pp. 388–396) considered a replicated two-level factorial experiment to study the factors most important to output in an earth-moving […]

Applied Statistics and Probability for Engineers, 7th edition 2017 14-80 (c) 14.S9 An article in the Textile Research Institute Journal (1984, Vol. 54, pp. 171–179) reported the results of an experiment that studied the effects of treating fabric with selected […]

A*B*C*D 1 0.0 0.0 0.03 0.00 0.954 A*B*C*E 1 0.3 0.3 0.28 0.03 0.862 Pooling out nonsignificant effects: From the analysis terms A, B, C, and AB are significant. Factorial Fit: y versus A, B, C, and AB. Estimated Effects […]

Applied Statistics and Probability for Engineers, 7th edition 2017 14-41 In this model with blocking there are no significant factors. 14.8.5 An article in Quality Engineering [“Designed Experiment to Stabilize Blood Glucose Levels” (1999–2000, Vol. 12, pp. 83–87)] reported on […]

Source DF SeqSS AdjSS AdjMS F P Main Effects 5 0.1944 0.1944 0.0389 3.3 0.051 A 1 0.0946 0.0946 0.0946 8.02 0.018 Reserve Supplemental Exercises Chapter 14 Problem 6 An article in Biotechnology Progress (December 2002, Vol. 18(6), pp. 1170–1175) […]

15 65 0.12 0.75 0 2− 0 1.153 16 65 0.5 0.75 0 2 0 6.333 17 65 0.25 0.42 0 0 2− 2.533 18 65 0.25 1.33 0 0 2 3.2 19 28 0.25 0.75 2− 0 0 3.233 […]

CHAPTER 14 RESERVE PROBLEMS Please note that the values in the problem statements for this chapter may not be consistent with the values that appear in your evaluation copy. The following problems have been reserved for your use in assignments […]

Applied Statistics and Probability for Engineers, 7th edition 2017 14-1 CHAPTER 14 Section 14.3 14.3.1 An article in Industrial Quality Control (1956, pp. 5 – 8) describes an experiment to investigate the effect of two factors (glass type and phosphor […]

14-61 14.11.5 An article in Tappi (1960, Vol. 43, pp. 38–44) describes an experiment that investigated the ash value of paper pulp (a measure of inorganic impurities). Two variables, temperature T in degrees Celsius and time t in hours, were […]

Reserve Problems Chapter 14 Section 6 Problem 1 An article in the Annals of Nuclear Energy (“Statistical Analysis of the Fort Calhoun Reactor Coolant Pump System,” Vol. 24(3), 1997) considered the effect of five factors on a recirculating pump motor […]

Analysis of Variance for Production (coded units) Source DF Seq SS Adj SS Adj MS F P Blocks 1 10 10 10 0.00 0.947 TravelTime 1 113419 113419 113419 51.58 0.000 Residual Error 28 61567 61567 2199 Lack of Fit […]

Reserve Supplemental Exercises Chapter 15 Problem 6 An EWMA chart with 0.5  = and 3.07L= is to be used to monitor a process. Suppose that the process mean is 010  = and 2  = . Consider the […]

CHAPTER 15 RESERVE PROBLEMS The following problems have been reserved for your use in assignments and testing and do not appear in student versions of the text. Reserve Problems Chapter 15 Section 3 Problem 1 Control charts are to be […]

Applied Statistics and Probability for Engineers, 7th edition 2017 15–60 15.S17 Consider the hub data in Exercise 15.S5 (a) Construct an EWMA control chart with  = 0.2 and L = 3. Comment on process control. (b) Construct an EWMA […]

Applied Statistics and Probability for Engineers, 7th edition 2017 (b) Consider a hypothesis test on the mean and standard deviation of data before and after the change (with point 20 removed from the before dataset and point 19 removed from […]

15–41 15.8.4 The concentration of a chemical product is measured by taking four samples from each batch of material. The average concentration of these measurements for the last 20 batches is shown in the following table: Use σ = 8 […]

Applied Statistics and Probability for Engineers, 7th edition 2017 15-1 CHAPTER 15 Section 15-3 15.3.1 Control charts are to be constructed for samples of size n = 4, and x and s are computed for each of 20 preliminary samples […]

𝑃(𝐿𝐶𝐿<𝑋̄⟨𝑈𝐶𝐿|𝜇=45)=𝑃(𝐿𝐶𝐿−𝜇 𝜎𝑋 ̄<𝑍<𝑈𝐶𝐿−𝜇 𝜎𝑋 ̄) ( 44) ( ) LCL UCL P LCL X UCL P Z   −−  = =   Reserve Problems Chapter 15 Section 7 Problem 3 Consider an X control chart with 7.443UCL […]

Applied Statistics and Probability for Engineers, 7th edition 2017 2-34 (c) If a product does not attain a good review, what is the probability that it will be a highly successful product? Let G denote a product that received a […]

Applied Statistics and Probability for Engineers, 7th edition 2017 2-21 Let A denote the event that the patient was treated with ribavirin plus interferon alfa, and let B denote the event that the response was complete. Determine the following probabilities: […]

Applied Statistics and Probability for Engineers, 7th edition 2017 CHAPTER 2 Section 2-1 Provide a reasonable description of the sample space for each of the random experiments in Exercises 2.1.1 to 2.1.11. There can be more than one acceptable interpretation […]

Applied Statistics and Probability for Engineers, 7th edition 2017 3-1 CHAPTER 3 Section 3-1 3.1.1 The range of X is {0, 1, 2, …, 1000}. 3.1.10 All probabilities are greater than or equal to zero and sum to one. a) […]

Applied Statistics and Probability for Engineers, 7th edition 2017 3-12 3.6.14 Let X denote the number of customers who visit the website to obtain the first order. a) Yes, since the customers behave independently and the probability of a success […]

Applied Statistics and Probability for Engineers, 7th edition 2017 4.7.16 Let X denote the time between two consecutive arrivals. a)  = = = = 11 ( ) 0.4 2.5 EX time units b) P(X > 0.3) = exp(−2.5 × […]

Applied Statistics and Probability for Engineers, 7th edition 2017 CHAPTER 4 Section 4.1 4.1.2 a) −−      = = = − − =          2 2 32 1 […]

CHAPTER 4 RESERVE PROBLEMS The following problems have been reserved for your use in assignments and testing and do not appear in student versions of the text. Reserve Problems Chapter 4 Section 1 Problem 1 A parabolic satellite dish reflects […]

(d) Reserve Problems Chapter 4 Section 7 Problem 2 Web crawlers need to estimate the frequency of changes to Web sites to maintain a current index for Web searches. Assume that the changes to a Web site follow a Poisson […]

CHAPTER 5 RESERVE PROBLEMS The following problems have been reserved for your use in assignments and testing and do not appear in student versions of the text. Reserve Problems Chapter 5 Section 1 Problem 1 Let the random variable X […]

(e) From the formulas for the mean and variance of conditional narmal distribution we have ( ) ( ) 22 1 2 2 Y Y Y X X xx        − = + − […]

Applied Statistics and Probability for Engineers, 7th edition 2017 5-1 CHAPTER 5 Section 5-1 5.1.1 First, f(x,y) ≥ 0. Let R denote the range of (X, Y) Then, = + + + + = 1 1 1 1 1 ( […]

Applied Statistics and Probability for Engineers, 7th edition 2017 5-18 Section 5-5 5.5.1 a) percentage of slabs classified as high with probability p1 = 0.05 b) X is the number of voids independently classified as high X  0 Y […]

Reserve Supplemental Exercises Chapter 5 Problem 6 To evaluate the technical support from a computer manufacturer, the number of rings before a call is answered by a service representative is tracked. Historically, 70% of the calls are answered in two […]

Stem-and-leaf display. Yard: unit = 1.0 1 22 | 6 (15) 26 | 000011123334444 39 26 | 56677888 31 27 | 0000112222233333444 12 27 | 66788999 4 28 | 003 1 28 | 5 Yes, the histogram shows the same […]

CHAPTER 6 RESERVE PROBLEMS The following problems have been reserved for your use in assignments and testing and do not appear in student versions of the text. Reserve Problems Chapter 6 Section 1 Problem 1 An independent research was made […]

C D How does the boxplot compare in interpretive value to the original stem-and-leaf diagram? SOLUTION Reserve Problems Chapter 6 Section 6 Problem 1 The following table presents data on the ratings of quarterbacks for the 2008 National Football league […]

C D Does it seem reasonable to assume that O-ring joint temperature is normally distributed? SOLUTION Reserve Supplemental Exercises Chapter 6 Problem 1 The National Oceanic and Atmospheric Administration provided the monthly absolute estimates of global (land and ocean combined) […]

Applied Statistics and Probability for Engineers, 7th edition 6-1 CHAPTER 6 Section 6.1 6.1.1 No, usually not. For example, if the sample is {2, 3} the mean is 2.5 which is not an observation in the sample. 6.1.7 Sample average: […]

Applied Statistics and Probability for Engineers, 7th edition 6-20 a) Median = 67.50, Lower Quartile: Q1=58.50, Upper Quartile: Q3=75.00 b) Data with lowest point removed Variable N Mean Median TrMean StDev SE Mean Temp 35 66.86 68.00 67.35 10.74 1.82 […]

15.3 13.1 15.2 15.9 15.1 14.9 13.6 13.7 15.3 15.5 14.5 16.5 13.4 15.2 15.3 13.8 14.3 12.6 15.3 14.8 14.1 14.4 14.3 15.6 14.8 14.6 15.6 15.1 14.8 15.2 15.6 14.5 15.2 14.3 15.8 17.0 14.3 14.6 16.1 12.8 […]

The triathlon is a multiple-stage competition involving the completion of three disciplines, in its most popular form, swimming, cycling and running. The following data represents the results of 2017 Hamilton CAMTRI Sprint Triathlon American Cup for men: 00:55:14, 00:55:21, 00:56:00, […]

13.2 15.1 16.2 11.9 11.7 14.0 15.0 15.1 17.0 16.2 14.2 14.6 14.6 14.8 15.1 15.3 13.6 14.2 16.2 12.2 16.0 12.7 12.9 13.7 16.1 14.4 16.7 12.5 13.4 12.9 Choose the correct histogram for the data. A B C […]

Applied Statistics and Probability for Engineers, 7th edition 2017 7-1 CHAPTER 7 Section 7.2 7.2.2 n = 6 n = 49 3.5 1.429 6 Xn   = = = 3.5 0.5 49 Xn   = = =  […]

Reserve Problems Chapter 7 Section 3 Problem 10 An exponential distribution is known to have a mean of 10. You want to find the standard error of the median of this distribution if a random sample of size 8 is […]

CHAPTER 7 RESERVE PROBLEMS The following problems have been reserved for your use in assignments and testing and do not appear in student versions of the text. Reserve Problems Chapter 7 Section 1 Problem 1 A random sample of 140 […]

CHAPTER 8 RESERVE PROBLEMS Chapter 8 Section 1 Problem 1 For a normal population with the known variance 2  , answer the following questions. a) What value of confidence level gives /2 z  equal to 2.10? b) What […]

A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data for a particular clinics follows (the reported variable is the number of CAT scans each month expressed […]

Applied Statistics and Probability for Engineers, 7th edition 2017 8-1 CHAPTER 8 Section 8.1 8.1.1 a) The confidence level for 2.14 / 2.14 /x n x n    −   + b) A z = 1.65 would […]

Applied Statistics and Probability for Engineers, 7th edition 2017 9-1 CHAPTER 9 Section 9.1 9.1.1 a) H0: μ= 25, H1: μ  25 Yes, because the hypothesis is stated in terms of the parameter of interest, inequality is in the […]

(b) From the normal probability plot, the normality assumption seems reasonable. (c) 00.64 0.635 0.38 0.0131 d    −− = = = = Using the OC curve, Chart VII g) for 0.05, 0.38d  == and 40n= , […]

Reserve Problems Chapter 9 Section 5 Problem 7 In a random sample of 500 handwritten zip code digits, 464 were read correctly by an optical character recognition (OCR) system operated by the U.S. Postal Service (USPS). USPS would like to […]

CHAPTER 9 RESERVE PROBLEMS The following problems have been reserved for your use in assignments and testing and do not appear in student versions of the text. Reserve Problems Chapter 9 Section 1 Problem 1 A frequenter of a pub […]

9-21 3) H1: The form of the distribution is not Poisson. 4) The test statistic is ( )  = − =2 2 0 1 . kii ii OE E 5) Reject H0 if  = 22 0.05,4 9.49 o […]

Reserve Supplemental Exercises Chapter 9 Problem 4 An inspector of flow metering devices used to administer fluid intravenously will perform a hypothesis test to determine whether the mean flow rate is different from the flow rate setting of 203 milliliters […]