Introduction to Statistical Modeling I

Business Statistics I

For quetions I and 2, considerthe following MINITAB generated boxplots of coagulation timeo (in seconds) for sample of blood drawn from animals receiving thre different diets. denoted 1, 2 and 3. dl.ct' ' ii-" r ---r * E, r. l--------li- ',: f. 2 '": -----i.--;-=--------i--- : . 1. Consider the following 3 statements, and circle the correct answer below. I) The animal that had the longest coagulation time was given diet 3. II) The great€st variability in coagulation times occurs with diet 3. III) Diet I show evidence of right skewnessaod diet 2 shows evidence of teft skewnes. .A\ a) Only I is true. b) Only II is rrue. '[ ") bO, III is true. d) Only I and II are true. e) Only I and III are truL_/ 2. Consider the following 3 statements, and circle the correct answer below. I) Approximately 25Vo of the snimels on diet 2 had coagulations times in excess of 63 seconds. II) Diet t has the greatest upper (third) quartile of the 3 diets. III) We can deduce tbat the mean for diet I is less than 62 eecond6. ^Q) Only II is true. f)ttare fale€. c) Only IItr is true. 3. Consider the folloqrin MINITAB generated stenFandlesf plot of students' GPAs (Grade Point Average). Stcm-andJeaf of GpA N = l(F Leaf Unit : 0.f 0 111 2t3 a 1{{ 516 7 L 88 21 2 00000000000111111 35 2 1333333t333 {19 2 {{aartaa{555555 (11) 2 66666677777 a0 2 888889999999 2g 3 0000000000011111 12 I 2333 I I {{rl{ 4366? :. 18 a) Only I ie true. d) AII are true. r ) 5. The values of. P(22 > 1) and E(c) are repetively a) l/E and 1/4 b) rl4 and l/E c) l/E and 0 6. Suppce that P(l) = 0.4, P(Bc) : 0.7, and P(AU B) = 0.S8. Considerthe following3 statements, and circle the correct angwer below. I) Events z4and B are mutually exclusive. II) Events .4 and B are independent. m) P(/na) = o.tz Nnly III is true. b) Only II is true. c) Only I is rrue. ( d) 9"ty II andIII are tme. e) Only I andIII are true. 7. Given the daia: 3, -3, l, 6, -1, 6, the mean and the median are respectively a) 2 and -3 b) 0 and 2 c) o *na -1ffi)!nd 2 e) none of the above \-/ 8. FfeET the two points (2, 3) and (3.5,6), whereb > 3.2, the value of the correlation coefficienr t\ "),/r always I Yf is always -t c) is aiways either I or -1, dependingon the value of b d) can be any number in tbe range -l t,o I depending on the value of D What is tUe ta)9l.]\above data? a) 1.4 ( u1 o.z ) c) 2.2 \__/ lI P(x > 7.5)= .3923, what is p? a)ro.e b)5.8 {a ll For quetions 4 and 5 consider the discret€ random variable, o. which follows the distribution sbown below. a l-2 -l 0 | 2 P(x : a) | r/8 Ll4 r/a l/a p 4. What is the value of p? ,...q\ /\ a)la b)0 c)l {d)1/8 ) e)noneoftheabove \_-/ 10. The probability of raia today is 0.2. The probebility of rain tommorrow is also 0.2. The probability of rain on both days is 0.1. What is the probablity that it will rain tommopow if it rains todav? a) 0.2 b) 0.1 d) 1 e) none of the above 11. A normal random variabte, c, han sp unkown meaD ,, and va^rienceo2 :4. 9. You are given that tbe equation- V :2.3 - 0.8s is the least-squares line of bestfit for a re8ression of y on c, lf s!: aazr, the correlatiron coefficient, r, between c and y is a) 0.6 b) -0.8 \ ") -o I d) not computabte \-/ d) 7 e) none of tbe above d) 8.6 e) none of the above

STAT | 2507 | Introduction to Statistical Modeling I | assessment | For quetions I and 2  consider

t Mathematics and Statistics, STAT 2606 A, "Final Exam-August 2(}o5~ Page 8- TABLE 3 Critical Values of the t Distribution ta Degrees of Freedom 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 60 120 (X) t.100 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1397 1383 1372 1363 1356 1350 1.)45 1.341 1337 1333 1330 1328 1325 1323 1321 1319 1318 1316 1315 1314 1313 1311 1310 1.303 1.296 1.289 1.282 t.oso 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.684 1.671 1.658 1.645 t.ozs 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.080 2.074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2.042 2.021 2.000 1.980 1.960 t.010 31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.~;00 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.423 2.390 2.358 2.326 t.oos 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.750 2.704 2.660 2.617 2.576 Source:M. Merrington, "Table of PercentagePoints of the t-Distribution," Biometrika32 (1941), p. 300. Reproduced by permission of the Biometrika trustees.

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