I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.
Course Notes
Finally completed: here.
Week 12
In Week 12 we will finished the module by looking at Hypothesis Testing and Control Charts.
Week 13: Review Week
I will be available to any and all students (Groups A & B) at the following (usual) times and (usual) venues:
- Review Lecture Monday 09:00 B212
- Review Lecture Tuesday 14:00 B212
- Review Lecture Wednesday 11:00 B212
- Review Tutorial Thursday 15:00 B228
The Review Lectures will be conducted as follows (from Monday 9 December)
- Students can ask any question and I will answer it on the whiteboard. If we run out of questions
- I will start going through the Autumn 2013 paper (which was given out in the Thursday 28 December tutorial). If we finish this paper
- I will help ye one to one.
The Review Tutorials will be conducted as follows
- Students can ask any question and I will answer it on the whiteboard. If we run out of questions
- I will help ye one to one
Academic Learning Centre
I would urge anyone having any problems with material that isn’t being addressed in the tutorials to use the Academic Learning Centre. As you can see the timetable is quite generous. You will get best results if you come to the helpers there with specific questions.
Math.Stack Exchange
If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly. For example What is a Confidence Interval?
J.P. McCarthy: Math Page 
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December 10, 2013 at 8:57 am
J.P. McCarthy
Regarding Autumn 2012 Question 4 (e).
I have finally figured out what this question is saying exactly. The question I have set on hypothesis testing is more like what we have seen in the notes so shouldn’t cause such a headache.
The root of the confusion is the fact that I have it drilled into ye that the null hypothesis is the status quo and according to part (c) the status quo is that the mean is 2.5 m, end of.
My guess would be that Sean did hypothesis testing questions like part (e) in classes. I have done no questions like this. In all of mine, the one-sided hypothesis tests look like
H_0: mean equal to \mu
H_A: mean is greater than \mu
or
H_0: mean is equal to \mu
H_A: mean is less than \mu
This question 4, in part (e), introduces a second null hypothesis. Now the manufacturers are saying that the mean length of lentils is at MOST 2.5 m and if you have at most 2.5 pints you have LESS than 2.5 pints so we have
H_0: mean is less than 2.5 m
Then the alternative hypothesis is set up as the adversarial
H_A: mean is greater than 2.5 m.
It’s as simple as this: this kind of question will NOT be on your paper. The null hypothesis will always be
H_0: mean is equal to \mu.
Regards,
J.P.