Stat 1000: Assignment 3 Tips (Classroom Lecture Sections)
Published: Wed, 02/13/13
My tips for Assignment 5 are coming below, but first a couple of announcements.
Please note that my second two-day review seminar for
Stat 1000 will be on Saturday, Mar. 9 and Sunday, Mar. 10, in room 100 St. Paul's College,
from 9 am to 6 pm each day. This seminar will cover the lessons in Volume 2 of my book.
I am also taking registrations for all my midterm exam
prep seminars (Calculus, Linear Algebra and Statistics). Please click this link for more info and to register, if
you are interested:
Make sure you do: Tips on How to Do Well in Stat 1000
Did you read my Tips on what kind of calculator you should get?
Did you miss my Tips for Assignment 2?
Tips for Assignment 3 (Classroom Lecture Sections A01, A02, A03, etc.)
Don't have my book? You can download a free sample containing Lesson 1 at my website here:
You will have to study both Lesson 4: Density Curves and the Normal Distribution and Lesson 5: Introduction to Probability in my Basic Stats 1 book to prepare for this assignment.
Questions 1, 2, 3 and 4 cover the concepts I teach in Lesson 4. The
remaining questions are dealt with in Lesson 5 of my book. Note: if you
are using an older edition of my book, you may find that Density Curves
and the Normal Distribution is Lesson 2.
I strongly recommend you read my section about the Z Bell Curve Ladder and the X Bell Curve Ladder and make the ladder every single time you have a bell curve problem. Then climb up or down the rungs. Many students are guilty of not thinking a problem through, and consequently looking at Table A too soon. The ladder trains you to focus on the fact that Table A deals with z scores and Left Areas, but your problem may be interested in something else.
You will be using Table A for much of this lesson. Here is a link where you can download the table if you have not already done so:
This question is very similar to my question 2 in Lesson 4. In part (d) you
will have to work backwards. You know the area, so you can establish
what the width of the shaded region must be. Then, you can establish
what b must be. In part (e), keep in mind that the
quartiles slice the population into 25% sections. You need to slice the
density curve up into 4 equal areas of 25% each.
Question 2
This question is very similar to my question 5 in Lesson 4.
Question 3.
This question is very similar to my question 6. Note that I also
do a percentile example in my question 7. As I say in my question 7,
the 80th percentile, for example, is the z score that has 80% of the
area to the left of that score.
Question 4
Make sure you have studied all my
X-Bell Curve problems (questions 9 to the end) in Lesson 4 before you
attempt this question. You also need to know the 68-95-99.7 Rule taught
earlier in my lesson. Part (h) is all about z
scores. The higher your z score in a normal distribution, the better
you did relative to others. See my question 14 in Lesson 4 for an
example of this principle.
Question 5
This is a question best solved by Venn Diagrams. Make sure you
have studied that section in Lesson 5 of my book and have done questions
14 to 18 before you attempt this question. Make sure you have
definitely looked over my examples of how to prove to events are
independent or not in those questions (as well as others earlier in the
lesson).
Question 6
This question is a good runthrough of two-way tables and
probability distributions. Be sure that you have gone through all of my
questions 3 to 13 in Lesson 5 before attempting this question. Note that
the first two parts just want you to list a Sample
Space (all the outcomes that are possible) similar to what I do in my
questions 3 and 4 part (a). You do not list the probabilities of those
outcomes there. You may find my questions 4 and 12 especially helpful
with part 3 of this problem.