Stat 1000: Tips for Assignment 6

Published: Fri, 11/29/13

Do note that my final exam seminar is split over two days: Sunday Nov. 30 and Thursday, Dec. 5.  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:
Did you read my Tips for Assignment 4?  If not, here is a link to those important suggestions:
Did you read my Tips for Assignment 5?  If not, here is a link to those important suggestions:
Tips for Assignment 6
You need to continue studying Lesson 8: Confidence Intervals for the Mean and Lesson 9: Hypothesis Testing for the Mean.  You also need to study Lesson 10: Inferences for Two Means (only in newer editions of Grant's Tutoring Basic Stats 1) and Lesson 11: Inferences about Proportions (formerly Lesson 10 if you have an older edition).

IMPORTANT NOTE: Only study to the end of question 2 in Lesson 10 of my book.  The rest of Lesson 10 is now OMITTED from the course.  Which is to say, you need to learn how to do confidence intervals and hypothesis tests for matched pairs , but you do not need to learn how to do confidence intervals or hypothesis tests for two-sample problems.

You will be using Table A and Table D while doing this assignment and learning these lessons.  Here is a link where you can download those tables if you have not done so already:
Table D

Remember: When listing your givens make sure you distinguish between being given the population standard deviation, 
σ, and the sample standard deviation, s.  You can use z for an inference for the mean if and only if you are given sigma.
Don't have my book?  You can download a free sample containing Lesson 1 at my website here:
A Warning about StatsPortal
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.
Question 1
You need to decide whether to use z or t to construct the confidence interval for the mean, and test the hypothesis for the mean in this question.  Otherwise this a standard confidence interval and hypothesis test question.  Remember: if you are given the POPULATION standard deviation, sigma, you can use z.  Otherwise, you must use t.

To use JMP for this question:

First, open a New Data Table, name your column "CO Level" and enter the data down that column.


Select "Analyze, Distribution" and make "CO Level " the "Y Column " and click OK to get the Histogram and stuff.  Click the red triangle next to the variable and select "Test Mean" from the drop-down list. Enter in the mean, mu, from your null hypothesis in part (c). Click "OK" and JMP gives you the hypothesis test at the bottom of the printout. Look at my questions 16 and 17 for examples of how to read this printout.

Remember:

Prob > |t| is the two-tailed P-value

Prob > t is the upper-tailed P-value
Prob < t is the lower-tailed P-value

JMP does not know the alternative hypothesis, so it gives you three choices for the P-value.  You should know which is correct.  JMP also tells you the value of the test statistic in the "Test Mean" output which you can use to check your calculations for part (d).

By the way, you could also use JMP to construct the confidence interval for you,
but they asked you to do it by hand.  Perhaps use JMP to check your answer though.

Click the red triangle next to CO Level above your histogram and select "Confidence Interval".   Select "Other" to get a pop-up menu. It probably has 0.95 typed in (for 95% confidence interval), but you want a 90% confidence interval, so be sure to type in 0.90.  Click "OK" and you will then get the confidence interval added to your printout. This interval should match the answer you got in part (a).
Question 2
Much like question 1, just no JMP this time.
Question 3
As they make quite obvious, this is a matched pairs problem.  Be sure to study questions 1 and 2 in Lesson 10 of my book.  If you have an old edition of my book, matched pairs may be taught at the end of Lesson 9, questions 19 and 20.
Question 4
Another matched pairs problem.
Question 5
This uses the sample size formula for proportions as taught in questions 5 and 6 in Lesson 11 of my book.  I show you how to get z* for an unusual level of confidence in Lesson 8, question 10.

You now have TWO sample size formulas!  One is for MEANS (Lesson 8, questions 6 to 8) and the other is for PROPORTIONS (Lesson 11, questions 5 and 6).  One needs a sigma, one does not.

Cheesy trick to help tell them apart:
  • If they give you sigma, the population standard deviation, they must want you to use the sample size formula for means because that formula needs a sigma.  Read the question, they will clearly tell you that you are trying to estimate the mean.
  • If they don't give you sigma, then they can't be trying to estimate the mean (because you have to be given a sigma for those questions).  They must be estimating a proportion.  Use the sample size formula for proportions.  It doesn't need a sigma.
Question 6
Clearly, this is inference for proportions.  Study Lesson 11 in my book.  Note the word "majority" as discussed in question 3 of my Lesson 11.
Question 7
Similar to question 6.