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Do note that my second midterm seminar is the weekend of Nov. 2 and 3. 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: 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.
Don't have my book? You can download a free sample containing Lesson 1 at my website here:
A Warning about StatsPortal
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It appears that StatsPortal is not fully functional if you are using Internet Explorer as your browser. This has ramifications if you are using the HTML Editor box. I strongly recommend that you use Mozilla Firefox as your internet browser whether you use a Mac or PC to ensure no problems with submitting your assignments. Here is a link where you can download Firefox direct from Mozilla (it is free):
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. There is also some debate whether even pressing "Save Answers" locks the data in place. 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.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 because you know the width times the height equals the area. Then, you can establish what b must be. I strongly recommend you read my section in Lesson 4 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 is very similar to my question 6 in Lesson 4. 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. Make sure you have studied all my X-Bell Curve problems (questions 9 to the end) in Lesson 4 before you attempt this question. Make sure you use the X-Bell Curve Ladder to help you work your way through each part of this question.
You also need to know the 68-95-99.7 Rule taught earlier in my lesson (questions 3 and 4 in Lesson 4).
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. Don't forget to click the Html Editor link before you type your answers into their box.
I show you how to determine a Sample Space through the use of two-way tables if necessary in Lesson 5 of my book. Note that all you are asked for is the sample space in each part, so your answer would be something like this (don't forget to use those squiggly brackets "{}"):
Here is the sample space for the outcome of flipping a coin twice where H=heads and T=tails: {HH, HT, TH, HH}.
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.
Note, in part (a)
, when they ask how many outcomes there are, count every single region in your Venn diagram to count all the possible outcomes. For example, a classic two-circle Venn diagram like my question 16, has four separate regions (four separate probabilities or percentages are labelled in the diagram). Therefore, question 16 has 4 outcomes in its sample space.
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. My question 4 is similar to this problem. |
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