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Unformatted text preview: Wmnm'mwiaummwmmmﬁwmwm H... , . ‘ ~ Part IX Sample Minimum Competency Exams Sample Minimum Competency Exam I Questions 110 refer to the following information: The Psychology Department at the University of Dupage uses a questionnaire to evaluate students’ attitudes
about teachers. One of the items on this questionnaire was: “Is the teacher entertaining?” The students chose
from one of the following alternatives: ‘ w . 1. I was bored the entire semester. 2. I was bored half the semester. ‘3
3. i was not bored, but I was not entertained. W H , W/ , n
4. I was entertained. .th/‘JVA W M “ WE W U“
5. I have never seen a teacher with better delivery. (
' . k. w‘f I 3 )3 i”!
The results for Dr. Meade E. Oker were as follows: M ’ I
Score 1' ' “'3 of ref av
” m. ‘ .F ... (3 7t ' . «a
5 2 200 1.09 . h.  _.....
Q 10 198 .99 N ‘37.? r, 6H
3“ 146 19g .  .94, W
2 40‘ 48 .24
1 8 :8 I .04‘~ 1. Does the scale yield ordered or unordered data? WM WA 2. Whatarethereallimitsofaseoreoflt‘? 5
as" rq’q/ . . ., a
3. Are the data drscrete or conﬁnuous. WWW \
M 225 4. Using the set of axes below, sket a_ 1301ng r this frequency distribution. 5. Considering the polygon in item 4, what change(s) c0316. he made m the axes to convey the impression that
the students polled had very djﬂqrent attitudes toward Dr. eade E. Oker?
W 226 54$)” 21]. 7/9 [ I
(9)
Use the set of axes below to construct an ogive for the preceding frequency distribution for Dr. Meade EL.
Oker. 6. '. /‘lI L 3" 4 gwguﬂﬂ’ 1 2 Using the ogive sketchéd in item 6, estimate: Q3 3°2~383 1693/ 7. 8. PRP of a score of 2 ! 227 $95,» 2n w ‘
Questions 11—14 refer to the following information: The results for Dr. Oker and another instructor, Dr. Susan Perior, were Plotted as smoothed r®
polygons. rf Dr. Perior /. \ ntertaining Not Entertaining “Elite W143“ M a 1113 Compare these two distributions in terms of shape, location (central tendency), and variability. lgi on F. ._ «u 11. Shape: 12. Location: Ma k at” Q NH 13. Variability: WM Uta/m 14. Why do you think relative frequencies, instead of frequencies, were used in constructing the smoothed
polygons comparing Dr. Oker and Dr. Perior? MVWM *$*$*******=31$$$*$*******$****BicHGDieHt31¢******$*$*$******$*3i:*8!31¢*$53link**$*****$*****$***$***#$ 15. The following percentiles were obtained ﬁ'om a distribution of scores for a test in Elementary Statistics: P1 2 10 P25 = 70 P50 : 80 P75 = 85 P99 3 90
Go u; S LS
Which of the following best describes the shape of the distribution? (Circle one choice below.) Symmetrical egatively skeweil IQFQL < Qlﬂca M M
cogwee WW Q}...th C9; (Pi Positively skewed 10 Wagpw m (6)
Questions 16—21 are based on the following 5 number  3,4 5, 8, 10 16. Find E5; Xi2 : ‘5} .4— Hc—i— ZS‘a—LﬁH—wu :1" “2l4}
iml ‘
T” M ‘71] (DDW Atom/bf, 17. Findthemedian '5 3?“; 3&3 9‘ (o 18. Findthemeandeviation [3le + +¢l+iSle + [944+ WT")... B+Z+H 1w z ,2 r M, MB:— 5 5“ '5' m. L
19. mathevaﬁancej‘; a4» 9} I+‘£+ Ila‘2 39 CL. 5/ v ELXC‘X)¢'(§,X (m s 5* 14 The preceding 5 scores were arrived at by subtracting 100 from the IQ scores of 5 students: 20. What was the mean ofthe originalS IQ scores? ,1 Y+ ND
2 + wzoﬂwvrloﬁé Y: 41""? ) Y
X Y! MK: (0+100210b 21. What was the variance ofthe original 5 IQ scores? c. 2 1 S L __ Z
SIX1.5191ch \g‘f 1?? Y'Hoou Yak? *1:***$***=§=$$$*=§=$Dink?!ch$060k$>§¢=§=>k***>!s5kﬁnial:=k*****iambic*5!€*******3416*1‘*3“):=5:$****$*X¢*$**$*********$* Questions ~ ‘2 ‘4 n = e based on a distribution of scores that have a ' d a standard F 1‘;
deviation  M "‘
eev
22. What is Alice’s zoscore if her test score is 1'8? 2_ r;_ [g/P )SMH 3 A L 5/
r I III— ,» #
Z “i Yﬂ
S 23. Ifthe instructor transforms the scores to have a mean of 100 and standard devia
the transformed vaiue of someone with a score of i3? ' a. 2 3— :5“; M3; :2 T x "TagoOIBJW‘ig‘? 1:. Mi , " 24. The original scores are skeived to the ﬁght. What is the shape ofthe distribution ofthc Y satires, where Y: —' 7 . ' ‘
20?: I 15)+100, _ e Juncmr M Q
2 a [5% a 344' V3302+wo
25. What would be the effect on the median of a distribution of 10 scores if only the largest score was increased by 5 points? (Circle one choice below) 26. What would be the effect on the mean if the largest score was increased by z X
H ' n of 20, what would be Increase Decrease M 5 points? (Circle one choice below) Increase Decrease Remain the same r“
229 E X + 5 3 M W W
h ...
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 Spring '11
 JimMaxey

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