Stat 1000: Tips for Assignment 10
Published: Fri, 11/04/11
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If you are taking the course by Distance/Online (Sections D01, D02, etc.), click here for my tips for your Assignment 10.
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There is no Assignment 10 for those taking Classroom Lecture sessions.
Study Lesson 9: Hypothesis Tests for the Mean in my book, if you have it, to prepare for this topic.
You will be using Table A and Table D while learning Lesson 8 and doing this assignment. Here is a link where you can download those tables if you have not done so already:
First, be sure
to note whether a question gives you σ, the population standard
deviation, or s, the sample standard deviation. That dictates whether
you will use z or t when making your confidence interval. I would
assume, at this stage, you are likely to be given σ most of the time.
Question 1 is basic P-value stuff as taught in Lesson 9.
Questions 2 and 3 are a good run through of the 5 steps to test a hypothesis.
Question 4: Requires use of JMP.
To make a confidence interval for the mean using JMP:
Select and copy the data. Click "New
Data Table", then select "Edit" then "Paste with Column Names". Now
select "Analyze", "Distribution" and highlight "radon" and click "Y,
Columns", then click OK. You are now looking at a histogram and stuff.
Click the red triangle next to "radon" then select "Confidence
Interval" from the drop-down list. Select "Other" to get a pop-up menu.
It probably already has 0.95 typed in (for 95% confidence interval),
but, if not, be sure to type in 0.95. Make sure you click the box saying "Use known Sigma".
Click "OK" and you will then get a pop-up menu to type in the sigma
value. I believe σ = 9 in your case. Click "OK" and JMP gives you the
Confidence Interval at the bottom of the printout.
To test a hypothesis for the mean using JMP:
You
should already be in the output screen having done the confidence
interval in part (a). You are now looking at a histogram and stuff.
Click the red triangle next
to the variable and select "Test Mean" from the drop-down list. Enter in
the
mean from your null hypothesis and enter in the given standard
deviation. Click
"OK" and JMP gives you the hypothesis test at the bottom of the
printout. Look
at my questions 13 and 14 for examples of how to read this printout.
You can now select, copy and paste your
output to a file ready for upload as usual.
Question 5:
Follow the same steps as done in question 4 to test the hypothesis about IQ.
Make sure you read my section on P-values to learn how to properly
interpret your P-value.
In question 6 in the Web Assign assignments remember the
note I write after my question 4 talking about statistical significance versus
practical significance. Also, remember the Law of Large Numbers taught in
Lesson 7 of my book.