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Solutions and Audio for over 200 Final Exam Practice Questions available for only $19.99!
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Unfortunately, I have decided not to offer a Final Exam Seminar this term. The strike delay has rendered it impossible for me to schedule it. I have, however, got this offer of over 200 questions with my complete step by step solutions and audio of me working through most
of these questions recorded from previous seminars I have offered. I am offering this for $19.99 + GST. Click here for more details:
Try a Free Sample of Grant's Audio Lectures (on sale for only $30) |
Don't have my book or audio? You can download a free sample of my book and audio lectures containing Lesson 1:
Did you read my tips on how to study and learn this course? If not, here is a link to those important suggestions: The department posted solutions for Assignment 1 (these are not my solutions). Click here.The department posted solutions for Assignment 2 (these are
not my solutions). Click here.The department posted solutions for Assignment 3 (these are not my solutions). Click here.Here is a link to the actual assignment, in case you don't have it handy: Study Lesson 8: Confidence Intervals for the Mean and Lesson 9: Hypothesis Testing for the Mean in my book, if you have it, to prepare for this topic.
I am very
disappointed to discover that this assignment only gives you practice using z for confidence intervals and hypothesis testing. Do not make the mistake of assuming a problem requires z instead of t. I strongly recommend you study my Lessons 8 and 9 thoroughly, where I teach you z and t simultaneously, trying to train you to think carefully in each question to decide properly whether the problem requires z or t.
This assignment is exactly why
students are often caught unprepared and ill-focused on the exam.
In that respect, please make sure you read this previous email I sent with some useful handouts summarizing the final third of the course:
Do note that Lesson 10: Comparing Two Means in my book has been OMITTED from the course. However, you must certainly study Lesson 11: Inference for Proportions as part of your exam preparation even though Lesson 11 is not included on this assignment.
Do not confuse my Lesson numbers with your prof's unit numbers. Their Unit 10 is actually more of what I have already covered
in my Lessons 8 and 9 (unit 10 is where they start using t instead of z). Their Unit 11 is my Lesson 11. I repeat, my Lesson 10 is no longer included in your course.
Of course, always seek out assistance from my book, your course notes, etc. if you ever hit a question you don't understand, but try not to be learning things as you do an assignment. Learn first, then put your learning to the test.
Important Note about Hypothesis Testing
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Unlike what I instruct in my book, make sure that you compute a P-value every single time that you perform a hypothesis test. They have decided to not teach about critical values this term, so there is no need to use Table D to get z* or t*, the critical
value, for any hypothesis test. Because you are not using critical values, it therefore becomes essential to compute a P-value.
Your steps to test a hypothesis should always be: - State the Hypotheses and so establish whether the test is upper-tailed, lower-tailed, or two-tailed.
- State the given level of significance, alpha. Let alpha = 5% if none is given.
- Compute
the test statistic using the correct formula for z or t.
- Compute the P-value by marking the test statistic on a bell curve and shading the appropriate region according to your alternative hypothesis.
- State your conclusion knowing that you always reject Ho if the P-value < alpha.
You will be using Table A and Table D while learning Lesson 8 and 9 and doing this assignment. Here is a link where you can download those tables if you have not done so already: By the critical value, they want you to simply tell them what z* is. Note that the problem is that 97% confidence is not given on Table D, so that means you must read Table A backwards in order to establish z*. Don't make the mistake of
looking up an area of .9700 on the table!
The level of confidence is the area in the MIDDLE of the bell curve bounded by -z* and z*. See my Lesson 8, question 10 for an example.
Now compute the lower and upper limits of the confidence interval, as per usual. See my Lesson 8, question 1 or 10 for an example.
See my Lesson 8, question 1(b) for an example of how to properly interpret a confidence interval. Memorize these one or two sentences. It is a standard part of an exam long answer question to be asked to interpret a confidence
interval.
This is very easy to do once you have made the confidence interval. Be very clear that you can use a confidence interval to test a TWO-TAILED hypothesis. See my Lesson 9, question 13(d) for an
example.
See my Lesson 9, question 13(d) for an example.
See my Lesson 9, question 1 for an example of how to properly state hypotheses. Also read the introductory pages in Lesson 9 prior to my question 1.
Also, take a look at my Lesson 9, question 12 for
a full, 5-step runthrough of testing a hypothesis to assist with #6-11.
Use the appropriate test statistic formula.
Compute the P-value as I instruct. See my Lesson 9, The P-value section for examples.
Never forget. We reject Ho if P-value < α, the level of significance.
Here, they want a properly worded conclusion (as I outline in Step 5 of my steps for testing hypothesis). Always make sure your conclusion uses the same words they used in the question. See my Lesson 9, question 3 for examples of stating a
conclusion.
See my Lesson 9, question 6 for a examples of interpreting the P-value. Many students will have trouble properly interpreting a P-value. I wouldn't lose a lot of sleep over it. Traditionally, you will have to do it once on the final
exam. What is more important is that you are capable of computing the P-value correctly, and making the correct decision about rejecting Ho or not, and stating a properly worded conclusion.
Note that they have changed the alternative hypothesis, so that will change the P-value.
They simply want you to tell them z* for 95% confidence. Easy!
This is standard sample size stuff, like my questions 6 to 8 in Lesson 8.
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