AP Statistics / Mr. Hansen

Name: ____________________________

Take-Home Portion of Chapter 5 Test

Due at start of class Wednesday, Nov. 17, 1999

19. The attached personality quiz is designed to predict the subject's response to question 11 based on his or her responses to questions 1-10. However, this quiz (Internet "lint," as I call it) is not very scientific. In fact, I have serious doubts as to whether it is any better at predicting the subject's response to question 11 than people's friends would be, or indeed whether the quiz is more reliable than mere random guessing.

Your mission is to design an experiment (don’t execute it--that would require having the scoring key and would require oceans of time) to address this question: How do the first 10 questions of this personality quiz fare as a predictor of question 11, compared to the person's friends answering question 11, and compared to a mere random choice for question 11? Preliminary evidence suggests that the quiz results are strikingly different for males and females, as well as for students versus faculty.

Extra credit (optional): Answer all 11 questions on the quiz and bring to class Wednesday.

20. At _________________ School (fill in your least favorite school here), there were 10 faculty members in 1996 when the class of '00 entered. Each spring, the school hires 2 additional faculty, and each existing faculty member has a 20% chance of attrition (caused by resignation, firing, death, or whatever). The class of '00 initially had 35 students in the fall of 1996. Students' retention probability for the following fall is 90% in each year that had no net change in the faculty size during the spring reshuffling and 75% in each year that had a change in faculty size (either an increase or a decrease). No new students are allowed to join the class of '00, and students re-enroll or drop out only during summer breaks. Design a simulation and run 3 repetitions to estimate the size of the class of '00 in June 2000 just before the end of their senior year. Show all your work by marking up your random digit table, starting in row ____149____ .

 

 

PERSONALITY QUIZ

NOTE: If no answer is correct, choose the one that fits best among the choices presented.

1. When do you feel your best?
(a) In the morning
(b) During the afternoon and early evening
(c) Late at night

2. You usually walk
(a) fairly fast, with long steps
(b) fairly fast, but with short, quick steps
(c) less fast, head up, looking the world in the face
(d) less fast, head down
(e) very slowly

3. When talking to people, you
(a) stand with your arms folded
(b) have your hands clasped
(c) have one or both your hands on your hips
(d) touch or push the person to whom you are talking
(e) play with your ear, touch your chin, smooth your hair

4. When relaxing, you sit with
(a) your knees bent and your legs neatly side by side
(b) your legs crossed
(c) your legs stretched out or straight
(d) with one leg curled under you

5. When something really amuses you, you react with
(a) a big, appreciative laugh
(b) a laugh, but not a loud one
(c) a quiet chuckle
(d) a good laugh
(e) a sheepish smile

6. When you go to a party or social gathering, you
(a) make a loud entrance so everyone notices you
(b) make a quiet entrance, looking around for someone you know
(c) make the quietest possible entrance and try to stay unnoticed

7. You are working hard, concentrating hard. You are interrupted. You:
(a) welcome the break
(b) feel extremely irritated
(c) vary between these two extremes

8. Which of the following colors do you like most?
(a) red or orange
(b) black
(c) yellow or light blue
(d) green
(e) dark blue or purple
(f) white
(g) brown or gray

9. When you are in bed at night, in those last few moments before going to sleep, you lie:
(a) stretched out on your back
(b) stretched out face down on your stomach
(c) on your side, slightly curled
(d) with your head on one arm
(e) with your head under the covers

10. You often dream that you are
(a) falling
(b) fighting or struggling
(c) searching for something or somebody
(d) flying or floating
(e) You usually have a dreamless sleep
(f) Your dreams are always pleasant

11. Which of the following descriptions fits you best?

(a) Others see you as someone they should "handle with care." You are seen as vain, self-centered, and extremely dominant. Others may admire you and wish they could be more like you, but they don’t always trust you and hesitate to become too deeply involved with you.

(b) Your friends see you as an exciting, highly volatile, rather impulsive personality; a natural leader, quick to make decisions (though not always the right ones). They see you as bold and venturesome, someone who will try anything once; someone who takes a chance and enjoys an adventure. They enjoy being in your company because of the excitement you radiate.

(c) Others see you as fresh, lively, charming, amusing, practical, and always interesting; someone who is constantly the center of attention, but sufficiently well-balanced not to let it go to your head. They see you also as kind, considerate, and understanding; someone who will cheer them up and help them out.

(d) Other people see you as sensible, cautious, careful, and practical. They see you as clever, gifted, or talented, but modest. Not a person who makes friends too quickly or too easily, but someone who is extremely loyal to the friends you do make and who expects the same loyalty in return. Those who really get to know you realize that it takes a lot to shake your trust in your friends, but, equally, that it takes you a long time to get over it if that trust is broken.

(e) Your friends see you as painstaking and fussy. They see you as very, very cautious and extremely careful, a slow and steady plodder. It would really surprise them if you ever did something impulsively or on the spur of the moment. They expect you to examine everything carefully from every side and then, usually decide against it. They think this reaction on your part is caused partly by your careful nature and partly by laziness.

(f) People think you are shy, nervous, and indecisive, someone who needs to be looked after, who always wants someone else to make the decisions and who doesn’t want to get involved with anyone or anything. They see you as a worrier, who sees problems that don’t exist. Some people think you’re boring. Only the people who know you well know that you aren’t.