Applied Statistics and Probability for Engineers 7th Edition

Because the confidence interval contains only negative values, the absorbency of towel 1 is less than that of towel 2. The confidence interval does not contain zero. Therefore, the hypothesis test for the equality of means would reject the null hypothesis (that the means do not differ) at  = 0.05. No, the confidence

6) Reject the null hypothesis if f0  f1− /2,n1 −1,n2 −1 = f0.975,12,13 = 1 f0.025,13,12 = 1 = 0.308 or 3.23 f 0  f /2,n1 −1,n2 −1 = f 0.025,12,13 = 3.15 for  = 0.05. 7) Conclusion: Because 0.308  0.623  3.153 , we fail to reject the null hypothesis. There is no sufficient

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 H 0 : 1 −  2 = 0 against H1 : 1 − 

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. 2) H0 : μ1 – μ2 = 0 or μ1– μ2 3) H1 : μ1 – μ2 ≠ 0 or

(d) 0.1=, 0.05=. For a two-sided alternative, the common sample size is ( )( )1 2 1 2 2/2 1 1 2 2212()2()p p q qz z p q p qnpp++++=− ( )( ) ( ) ( )220.85 0.75 0.15 0.25(1.96 1.28 0.85 0.15 0.75 0.25

b) =0.667d sd = 2.964, n = 12  = 0.05 95% confidence interval: −−   −   +         −   +  −   /2, 1 /2, 12.964 2.9640.667 2.201 0.667 2.20112 121.216 2.55ddnddndssd

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 the number of patients who need liver transplantation. The following data are the Liver Transplantation

(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 R 2 for the new model. Is it larger or smaller than the value of R 2 computed in part (a)? Why? 2 (d) Calculate the

Applied Statistics and Probability for Engineers, 7th edition 2017 11-21 11.7.6 a) R2 = 71.27% b) No major departure from normality assumptions. c) Assumption of constant variance appears reasonable. 11.7.7 a) The regression equation is Compressive Strength = -

Applied Statistics and Probability for Engineers, 7th edition 2017 11-32 b) The P-value for the test of the coefficient of load is near zero. Therefore, load has a significant effect on failing performance. 11.10.3 a) The fitted logistic regression model is1ˆ1 exp[ ( 2.08475

Applied Statistics and Probability for Engineers, 7th edition 2017 11-1 CHAPTER 11 Section 11-2 11.2.1 a) 01i i iyx  = + + 26322.28162674.2 2789.282250xxS= − = (6322.28)(4757.9)125471.1 5147.996250xyS= − = 105147.996ˆ1.8462789.282ˆ19.032 (1.846)(25.289) 27.643xyxxSS= =

5.71 66.5 Assuming that a simple linear regression model is appropriate, fit the regression model relating the rating (y) to the average number of yards gained per pass attempt (x). Find a 95% confidence interval on each of the following: a. Slope b. Intercept c. Mean rating when the average yards per attempt is 8.0 d. Find a

Applied Statistics and Probability for Engineers, 7th edition 2017 12-1 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 researchers also measured 13

Predictor Coef SE Coef T P Constant 7.6443 0.9530 8.02 0.015 -0.00268 0.05574 -0.05 0.966 3.232 3.109 1.04 0.408 Glycerol -0.2643 0.2357 -1.12 0.379 Water -0.2518 0.1520 -1.66 0.239 Liquid soap Sugar S = 0.0323160 R-Sq = 71.9% R-Sq(adj) = 15.7% 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 R2 = SS R SST = 0.005344 5  or R 2 = 71.9% 0.007433 7 Reserve Supplemental Exercises Chapter 12 Problem 5 The data shown in the table below represent the thrust of a jet-turbine engine (y) and six candidate

(b) Calculate a 95% confidence interval on mean stack loss when x1 = 80 , x2 = 20 , and x3 = 90 . (c) Calculate a 95% prediction interval on stack loss for the same values of the regressors used in part (b). (d) Calculate a 95% confidence interval and a 95% prediction

Applied Statistics and Probability for Engineers, 7th edition 2017 12-21 (b) ==2ˆ9.48EMS ==21ˆˆ( ) 1.539jjse c H0: 1 = 0 H1: 1 ≠ 0  = 0.05 ===101ˆˆ()7.03 4.5681.539tse −==0.025,9 3 0.025,6 2.447tt 0 /2,6| | ,tt Reject H0, 1 is significant in the model at

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 of Internet users was measured. Each time three random groups of 10 thousand people of

Applied Statistics and Probability for Engineers, 7th edition 2017 12-41 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 Quality

Applied Statistics and Probability for Engineers, 7th edition 2017 12-55 (d) Stepwise Regression: W versus GF, GA, ... Backward elimination. Alpha-to-Remove: 0.1 Response is W on 14 predictors, with N = 30 Step

(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 Pct Comp Pct TD Pct Int 2.986 1.19857 4.5956 –3.8125 ˆ 2 = 4.14 R-Sq = 95.3% (a) R 2 = 95.3% (b) Cook's distance values 0.00706

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 this test? (b) Conduct the t-test for each regression coefficient. Use  =

H 0 : 1 =  2 =  3 =  4 = 0; H1 : at least one  j  0  = 0.05, DFreg = 4 ( 4 regressors ) , DFerr = 16 ( 21 observation − 1 − 4 estimators ) f 0.05,4,16 = 3.01 f

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 in the table below. Tensile Strength of Paper (psi) Observation 5% hardwood 10% hardwood concentration concentration 1 7 12 2 9 17 3 15 12 4 10 17 5 10 19 6 9 14 a) Compare these

There is some indication of a greater variability for the FasT method. The normal probability plot looks acceptable. 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 − Sq(adj)=34.96% (a) How many levels of the factor were used in this experiment? (b)

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

Applied Statistics and Probability for Engineers,7th edition 2017 13-36 (c) Analysis of Variance for LEAKAGE VOLTAGE Source DF SS MS

SOLUTION ANOVA output: Source DF Factor 2 Error 72 Total 74 SS MS F P 0.144 0.072 0.443 0.644 11.696 0.1624 11.84 ˆ 2 = MSerror = 0.1624 MStreatments − MSerror 0.072 − 0.1624 = = −0.0036 ˆ2 = n 25 Negative estimate of ˆ 2 is evidence that there is no variance between diets. Reserve Problems Chapter 13 Section 4 Problem 1 An experiment was performed to determine the effect of

Applied Statistics and Probability for Engineers,7th edition 13-21 2017 Applied Statistics and Probability for Engineers,7th edition Cross-linker level 0.5 1 2017 ---------+---------+---------+---------+ (---*---) (---*---) ---------+---------+---------+---------+ -0.50 0.00 0.50 1.00 Cross-linker level = 0.5 subtracted from: Cross-linker level 1 Cross-linker level 1 Lower -0.3618 Center -0.1667 Upper 0.0285 ---------+---------+---------+---------+ (---*---) ---------+---------+---------+---------+ -0.50 0.00 0.50 1.00 Cross-linker levels −0.5, 0, 0.5, and 1 are not detected to differ. Cross-linker levels −0.75 and −1 are not detected to differ from one other, but both are significantly different to the others. (b) The

Applied Statistics and Probability for Engineers, 7th edition 14.5.5 2017 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 system. Handle the experiment as four replicates

Applied Statistics and Probability for Engineers, 7th edition 2017 14-80 (c) The normal probability plot does not suggest a departure from normality. The assumption of constant variance may be of concern. It appears that the variability is lower for the high level of

A*B*C*D A*B*C*E A*B*D*E A*C*D*E B*C*D*E 5-Way Interactions A*B*C*D*E Error Lack-of-Fit Pure Error Total 1 0.0 1 0.3 1 7.0 1 0.8 1 7.0 1 0.3 1 0.3 4 32.8 1 694.0 4 32.8 36 12390.8 0.0 0.3 7.0 0.8 7.0 0.3 0.3 32.8 694.0 32.8 The experimental error can be estimated as 0.03 0.28 7.03 0.78 7.03 0.28 0.28 8.20 694.04 8.20 0.00 0.03 0.86 0.10 0.86 0.03 0.03 84.64 0.001 MSE ( pure error ) = 8.20 = 2.86 . 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 and Coefficients for y (coded

Applied Statistics and Probability for Engineers, 7th edition 2017 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 an experiment to minimize variations in blood glucose levels. The factors were volume of juice intake before

Source Main Effects A B C D E Residual Error Total DF 5 1 1 1 1 1 10 15 SeqSS 0.1944 0.0946 0.0298 0.0176 0.0410 0.0116 0.1179 0.3123 AdjSS 0.1944 0.0946 0.0298 0.0176 0.0410 0.0116 0.1179 AdjMS F 0.0389 3.3 0.0946 8.02 0.0298 2.52 0.0176 1.49 0.0410 3.48 0.0116 0.98 0.01179 P 0.051 0.018 0.143 0.250 0.092 0.345 From the analysis, factor A is possibly significant for variability in free height. Reserve Supplemental Exercises Chapter 14 Problem 6 An article in Biotechnology Progress (December 2002, Vol. 18(6), pp. 1170–1175) presented a 27−3 fractional factorial to evaluate factors promoting astaxanthin production. The data

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 20 150 0.25 0.75 2 0 0 2.967 21 65 0.12 0.75 0 − 2 0 1.21 22 65 0.5 0.75 0 2 0 6.733 23 65 0.25 0.42 0 0 − 2 2.833 24 65 0.25 1.33 0 0 2 3.267 Levels Lowest Low Center High Highest Coding − 2 -1 0 1 2 Speed, V (m/min) 28 36 65 117 150 Feed, f (mm/rev) 0.12 0.15 0.25 0.4 0.5 Depth of cut, d (mm) 0.42 0.5 0.75 1.125 1.33 (a) Fit both first- and second-order models to the data. Determine test statistics for the following parts of models. (b) Comment on the adequacies of these models. Which reduced model we can fit? (c) What are the coefficients to

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 and testing and do not appear in student versions of the text. Reserve Problems Chapter

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 type) on the brightness of

Applied Statistics and Probability for Engineers, 7th edition 2017 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 studied, and some of the results

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 power input (kW). The factors were temperature settings at the sites: A = Upper

Analysis of Variance for Production (coded units) Source DF Seq SS Adj SS Adj MS 10 1 Main Effects 2 168539 168539 84270 38.32 0.000 NumberTrucks 1 55120 25.07 0.000 55120 55120 10 P Blocks TravelTime 10 F 1 113419 113419 113419 51.58 0.000 Residual Error 28 61567 61567 2199 Lack of Fit 4 697 697 174 Pure Error 24 60871 60871 2536 Total 0.00 0.947 0.07 0.991 31 230117 The main effects of NumberTrucks and TravelTime are significant. Reserve Problems Chapter 14 Section 8 Problem 4 An article in Journal

𝑃(𝑈̄< 2.18)=𝑃(𝑍 < 2.18−17√17 ) = 𝑃(𝑍 17.84,𝜆 = 17)=𝑃(𝑍 >17.84−17√17/5 ) = 𝑃(𝑍 > 0.45) =1−𝑃(𝑍 < 0.54)=0.326425.22 18( 19.02, 18) ( ) ( 0.54) 1 ( 0.54) 1 0.705 0.318 / 5P U P Z P Z P Z− = =  =  = −  ==

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 constructed for samples of size n = 5 , and x and r are

Applied Statistics and Probability for Engineers, 7th edition 2017 (c) 2 limits P(X  X + 2ˆ ) + P(X  X − 2ˆ ) = P(z  2) + P(z  −2) = 2(0.02275) = 0.0455 ARL = 1/p = 1/0.0455 = 21.98. This ARL is not satisfactory. There would be too many

Applied Statistics and Probability for Engineers, 7th edition 2017 15-21 (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 after dataset) Hypothesis test on

Applied Statistics and Probability for Engineers, 7th edition 15.8.4 2017 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 and assume that the desired process target

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 as follows: ==2014460iix ==201271.6iis

Therefore, the minimum subgroup size is 29n=. Reserve Problems Chapter 15 Section 7 Problem 3 Consider an X control chart with 7.443UCL =, 5.125LCL =, and 3n=. Suppose that the mean shifts to 5.49. (a) What is the probability that this shift will be detected on the next sample?

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 good review. Let H, M, and P denote

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: (a) P(A  B)

Applied Statistics and Probability for Engineers, 7th edition 2017 2-1 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 of each experiment.

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}. 3.1.2 The range of X is {0, 1, 2, 3, 4, 5}. 3.1.3 The

Applied Statistics and Probability for Engineers, 7th edition c) E [Y ] = 3.6.14 2017 3 r = = 15 p 0.2 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 (i.e., obtaining an order) is the same for all customers. b)

Applied Statistics and Probability for Engineers, 7th edition 4.7.14 1 a)  = E ( X ) = =  1 = 4.6  = 4.6, then  = 0.2174  b) P ( X  10) = 2017 1  4.6 e − x / 4.6 dx = e −10/ 4.6 = 0.1137 10  c) P ( X  x ) =  x 1 − u / 4.6 e du

Applied Statistics and Probability for Engineers, 7th edition 2017 CHAPTER 4 Section 4.1 4.1.1 a) − − − = = − = =111(1 ) ( ) 0.3679xxP X e dx e e b) − − − −  = = − = − =2.5

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 signals to the dish’s focal point. An antenna designer analyzed signals transmitted to a satellite

(d) P( X  x) = e − 1 x 17000 = 0.02. Therefore, x = ( −17000 )  ln ( 0.02 ) = 66504.39 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

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 denote the time until a computer server connects to your machine (in milliseconds), and let

From the second equation Y   = 2 and Y − Y  X = 0 X X and these can be written as Y = 2 X and  Y = Y  X . X From the first equation above 2 2 2  2 X  −  1 ( ) 2  = 2 .   Because  x = 1 , the previous equation can be solved for  to

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( , ) 14

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 percentage of slabs classified as medium with probability p2 = 0.85 percentage of slabs classified as

P( Z  2) = 1 −  P ( Z = 0 ) + P ( Z = 1) + P ( Z = 2 )  ( P( Z  2) = 1 − 0.920 + 20 0.11 )( 0.9 ) + 190 ( 0.1 )( 0.9 ) = 0.323 19 2 18 (e) f Z

Stem-and-leaf display. Yard: unit = 1.0 1 22 | 6 5 23 | 2334 8 23 | 677 16 24 | 00112444 20 24 | 5578 33 25 | 0111122334444 46 25 | 5555556677899 (15) 26 | 000011123334444 39 26 | 56677888 31 27 | 0000112222233333444 12 27 | 66788999 4 28 | 003 1 28 | 5 Yes, the histogram shows the same shape as the stem-and-leaf display. Reserve Problems Chapter 6 Section 3 Problem 8 A semiconductor

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 asking 500 people about their bank deposits. Using the data in the table, calculate the

C D How does the boxplot compare in interpretive value to the original stem-and-leaf diagram? SOLUTION The boxplot shows the same basic information as the stem-and-leaf plot but in a different format. Reserve Problems Chapter 6 Section 6 Problem 1 The following table presents data on the ratings of quarterbacks for the 2008 National Football league season

C D Does it seem reasonable to assume that O-ring joint temperature is normally distributed? SOLUTION Yes, O-ring joint temperature is approximately normally distributed with some departures from the line at the ends of the distribution. Reserve Supplemental Exercises Chapter 6 Problem 1 The National Oceanic and Atmospheric Administration provided the monthly absolute estimates of global (land and

Applied Statistics and Probability for Engineers, 7th edition 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: 351.8 x = = 43.975 8 Sample variance: 8  x i = 351.8 i =1 19  x i2 = 16,528.403 i =1 Sample standard deviation: s = 151.143

Applied Statistics and Probability for Engineers, 7th edition a) Median = 67.50, Lower Quartile: Q1=58.50, Upper Quartile: Q3=75.00 b) Data with lowest point removed Variable N Mean Temp 35 66.86 Variable Temp Minimum 40.00 Median 68.00 Maximum 84.00 TrMean 67.35 Q1 60.00 StDev 10.74 SE Mean 1.82 Q3 75.00 The mean and median have increased slightly and the standard deviation and difference between the upper and lower quartiles have decreased slightly. c)Box Plot: The box plot indicates that there

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 14.5 15.4 13.3 14.9 14.3 16.4 13.9 16.1 14.6 15.2 14.1 14.8 16.4 14.2 15.2 16.6 14.1

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, 00:56:12, 00:56:20, 00:56:23, 00:56:36, 00:56:37, 00:56:50, 00:57:08, 00:58:41, 00:58:44, 00:58:48, 00:58:53, 00:59:14, 00:59:30, 00:59:30,

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 D E SOLUTION Let mark the histograms with letters as follows. In the data provided we can observe seven results between

Applied Statistics and Probability for Engineers, 7th edition 2017 7-1 CHAPTER 7 Section 7.2 7.2.1 The proportion is 10/80 =1/8. 7.2.2 n = 6 n = 49 3.5 1.4296Xn= = = 3.5 0.549Xn= = = X is reduced by 0.929

1 7.35 2 5.14 3 4.74 4 4.65 5 6.18 Here the sample median is computed for each of the bootstrap samples. The standard error is estimated as the standard deviation of these sample medians, and in this case we obtain 1.15. Reserve Problems Chapter 7 Section 3 Problem 10 An exponential distribution is known to have a mean of 10. You want

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 in size is taken from a population with a mean of 1540 and unknown variance.

CHAPTER 8 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. 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

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 as the number of CAT scans per thousand members of the health plan): 2.31,

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  −   + is determined by the value of z0 which is 2.14. From Table

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 alternative hypothesis, and the

Because −5.166  1.685 , we fail to reject the null hypothesis. There is not sufficient evidence to conclude that the true mean coefficient of restitution is greater than 0.635 at  = 0.05 . Find the P-value. The area to right of -5.166 under the tdistribution is greater than 0.9995 from Table

(c) n=( z /2 p0 (1 − p0 ) + z p (1 − p ) p − p0 )2 1.96 0.10 (1 − 0.10 ) − 1.28 0.16 (1 − 0.16 ) 2 n=( )  313 0.16 − 0.10 Reserve Problems Chapter 9 Section 5 Problem 7 In a random sample of 500 handwritten zip code digits, 464

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 had observed that the new barman poured in average

Applied Statistics and Probability for Engineers, 7th edition 2017 9-21 3) H1: The form of the distribution is not Poisson. 4) The test statistic is ( )=−=2201.kiiiiOEE 5) Reject H0 if =220.05,4 9.49o for  = 0.05 6) ( ) (

 (c) n = 100:  =  1.96 −  2 100   =  ( −0.4 ) = 0.4840 . 10  (d)  (probability of a type II error) decreases as the sample size increases because the variance of the sample mean decreases. Consequently, the probability of observing a sample mean in the acceptance region