Do note that my second midterm seminar is the weekend  of Mar. 8 and 9.  Click here for more details:

Did you read my tips on how to study and learn Stat 1000?  If not, here is a link to those important suggestions:

Did you read my Calculator Tips?  If not, here is a link to those important suggestions:

Did you read my Tips for Assignment 1?  If not, here is a link to those important suggestions:

Did you read my Tips for Assignment 2?  If not, here is a link to those important suggestions:

Did you read my Tips for Assignment 3?  If not, here is a link to those important suggestions:

Don't have my book?  You can download a free sample of my book and audio lectures containing Lesson 1:

Make sure that you are using Firefox for your browser.  Don't even use Internet Explorer.  It actually also has some glitches in the HTML editor boxes.

Do note that every time you exit a question in StatsPortal, the next time you return to it, the data may very well change.  Do not press the "back-up" button on your browser in a question.  That, too, will change the data.  When you are prepared to actually do a question, open the link, keep it open, and do not close it until you have submitted your answers.  Be sure to press "Save Answers" once you have done any calculations and entered any information to ensure the data does not change and force you to start over again.

After you submit the answer to a question, if you have been marked wrong on any parts, be sure that you write down the correct answers before you exit the screen (or grab a screen shot).  To try a second attempt at the question do not click the link to the question again, that will change the data and you will have to start all over again.  Also, DO NOT click "try again" or make a "second attempt."  That will also reset the data.

Instead, exit back to the home screen where they show the links for all the different questions on the assignment.  Where it shows the tries for a question on the right side of your screen, you should see the "1" grayed out, showing that you have had 1 attempt.  Click the number "2" to get your second attempt with the same data.  That way you can enter the answers you already know are correct and focus on correcting your mistakes.

You should also have already downloaded the JMP statistical software which was provided with either one of the course options for StatsPortal as mentioned in your course outline.

Make sure you have gone through Assignment 0 completely to learn how to use the interface.  I also suggest you print out a copy of question 8 in Assignment 0 (Long Answer Questions - Part 3) so that you have the steps for saving and uploading files into the HTML editor in front of you.

I tell you the definitions of parameters and statistics at the start of Lesson 4 of my book and I repeat them again in Lesson 7 and illustrate with my question 1.  Note that although n is a sample size, n itself is a parameter.

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 two events are independent or not in those questions (as well as others earlier in the lesson). 

This question is very similar to my question 18.  However, they do not give you enough information to fill in every part of your three-circle Venn diagram.  Similar to what I do in my question 17, you will need to put x in one of the missing parts of your three-circle diagram, then solve for x.

Don't enter percentages into your Venn, use decimals to set up for the format StatsPortal wants for your answers.  For example, if the percentage is 32.15%, enter that as 0.3215 in your Venn.

There appear to be two versions of this question.  If yours has Ski Jumping labelled as SK, Speed Skating as SS, and Snowboarding as SB, read the SK, SB, SS version below.  If your question has Ski Jumping labelled as simply J, Snowboarding as B, and Speed Skating as S read the S, B, J version below.

The SK, SS, and SB version:

• Start with the last piece of information they give and work your way up the list.
  
• You are given the percentage that follow all three sports, so you can put that value in the centre of your three-circle diagram.  You are given the percentage that are SK and SS fans, so you can fill the appropriate region in such that the two regions representing SK and SS add up to this given percentage.  You are also given the percentage that are SK and SB fans.  Again, there are two regions in the diagram representing that, and you already know the number in one of them, so you can fill in the missing part knowing the total must be this SK and SB amount.
• Here is where things get tough.  You are not given SB and SS, so put x in that region that you are missing.
• Now, we go to the first piece of info.  We are told the percentage that are SK fans.  There are four regions in the SK circle in your diagram, and you should have numbers already in three of them, so you can figure out what value to put in that fourth region to make the total correct.
• We are also given the percentage that are SB fans.  The problem is that we have four regions in the SB circle but only have two numbers filled in.  First add those two numbers and subtract from the total SB percentage.  For example, if you have 70% that are SB fans, and the two given regions add up to 30%, that leaves 70-30=40% to put in the remaining two regions.  One of those regions is already labelled x, so that means the remaining region can be labeled 0.40-x.  Of course, these are not your numbers.
• We are also given the percentage that are SK or SS fans.  There are six regions in your diagram that represent SK or SS.  You already have numbers labeled in four of them (the four in the SK circle).  Add those four up and subtract them from the SK or SS amount to see what is remaining.  For example, if you know 40% follow SK , and 52% follow SK or SS then we know that 52-40=12% remains to put in the two remaining regions of the SS circle.  One of those regions we have already labeled x so we will label the other region 0.12-x.  Again, these are not your numbers, of course.
• Finally, we are given the percentage that are SB or SS followers.  Add those six regions up.  You will note that, besides the numbers, you will be adding -x + x + (-x).  This collects up to just -x.  Of course, there are also a bunch of numbers you can add up in those six regions, so, if all the numbers add up to say 62%, then we discover the six regions add up to 0.62-x.  But we can set that equal to the percentage that do follow SB or SS and solve x.
• Once you have solved x, you are rolling. 
  

The J, B, and S version:

• Start with the last piece of information they give and work your way up the list.
  
• You are given the percentage that follow all three sports, so you can put that value in the centre of your three-circle diagram.  You are given the percentage that are J and S fans, so you can fill the appropriate region in such that the two regions representing J and S add up to this given percentage.  You are also given the percentage that are J and B fans.  Again, there are two regions in the diagram representing that, and you already know the number in one of them, so you can fill in the missing part knowing the total must be this J and B amount.
• Here is where things get tough.  You are not given B and S, so put x in that region that you are missing.
• Now, we go to the first piece of info.  We are told the percentage that are J fans.  There are four regions in the J circle in your diagram, and you should have numbers already in three of them, so you can figure out what value to put in that fourth region to make the total correct.
• We are also given the percentage that are B fans.  The problem is that we have four regions in the B circle but only have two numbers filled in.  First add those two numbers and subtract from the total B percentage.  For example, if you have 70% that are B fans, and the two given regions add up to 30%, that leaves 70-30=40% to put in the remaining two regions.  One of those regions is already labelled x, so that means the remaining region can be labeled 0.40-x.  Of course, these are not your numbers.
• We are also given the percentage that are J or S fans.  There are six regions in your diagram that represent B or S.  You already have numbers labeled in four of them (the four in the J circle).  Add those four up and subtract them from the J or S amount to see what is remaining.  For example, if you know 40% follow J , and 52% follow J or S then we know that 52-40=12% remains to put in the two remaining regions of the S circle.  One of those regions we have already labeled x so we will label the other region 0.12-x.  Again, these are not your numbers, of course.
• Finally, we are given the percentage that are B or S followers.  Add those six regions up.  You will note that, besides the numbers, you will be adding -x + x + (-x).  This collects up to just -x.  Of course, there are also a bunch of numbers you can add up in those six regions, so, if all the numbers add up to say 62%, then we discover the six regions add up to 0.62-x.  But we can set that equal to the percentage that do follow B or S and solve x.
• Once you have solved x, you are rolling. 

Don't even think about asking me any more questions about this one.  I have told you too much as it is.  You are on your own from there.

Lesson 6.  If you are ever asked to decide if a particular situation is binomial or not, remember, to be binomial, four conditions must be satisfied:

1. There must be a fixed number of trials, n.
2. Each trial can have only two possible outcomes, success or failure, and the probability of success on each trial must have a constant value, p.
3. Each trial must be independent.
4. X, the number of successes, is a discrete random variable where X = 0, 1, 2, ... n.

Hints: If you are reading off numbers from a randomly selected row in the random number table, note that every row has 40 digits.  That is like 40 trials looking for whatever digit you may be looking for.  What is the probability that, at any moment on the table, the next digit is a 0, or a 1, or a 2, etc..

If you are selecting objects, are you sampling with replacement (independent trials) or without replacement (dependent trials)?

Lesson 6.  I introduce the formula for mean and standard deviation of a binomial distribution in my question 7.  Be careful that you are using the correct n and p for each question since they keep switching which flight and how many years and flights they are talking about.  Note that n is the total number of flights he has taken to a specific destination during the time period, not just the number that arrive on time.

This is Lesson 7 stuff.  You have to always be asking yourself, "Is the problem talking about one individual score X? Or, is it talking about the mean of n scores, x-bar?"  If it is talking about just one score X, is X normally distributed?  If it is talking about the mean of n scores, x-bar, can we assume x-bar is normally distributed?  Why or why not?  If we can assume these are normally distributed, then be careful to use the proper standardizing formula.  Either the X-Bell Curve formula or the x-Bar Bell Curve formula.

Look at my questions 4 through 7 in Lesson 7 for examples.

Approach this just like the previous question.  Ask yourself the same questions.

Your probabilities are exact if you know for sure that the distribution is normal.  However, if you were only able to say the distribution is approximately normal, then your probabilities are only approximate.

You are on your own for this question.