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Chat Area => General Discussion Area => Topic started by: STEMO on 18 June 2017, 14:48:32

Title: My lad is revising for further maths
Post by: STEMO on 18 June 2017, 14:48:32
I went up to his room to do something and he told me that he was having trouble getting z tests to work out. 'Keep at it' I said, 'you'll get there'.
So I came down and thought I'd have a quick look to see if I could help. I mean, it's only numbers. So I found this:

A Z-test is any statistical test for which the distribution of the test statistic under the null hypothesis can be approximated by a normal distribution. Because of the central limit theorem, many test statistics are approximately normally distributed for large samples. For each significance level, the Z-test has a single critical value (for example, 1.96 for 5% two tailed) which makes it more convenient than the Student's t-test which has separate critical values for each sample size. Therefore, many statistical tests can be conveniently performed as approximate Z-tests if the sample size is large or the population variance known. If the population variance is unknown (and therefore has to be estimated from the sample itself) and the sample size is not large (n < 30), the Student's t-test may be more appropriate.

If T is a statistic that is approximately normally distributed under the null hypothesis, the next step in performing a Z-test is to estimate the expected value θ of T under the null hypothesis, and then obtain an estimate s of the standard deviation of T. After that the standard score Z = (T − θ) / s is calculated, from which one-tailed and two-tailed p-values can be calculated as Φ(−Z) (for upper-tailed tests), Φ(Z) (for lower-tailed tests) and 2Φ(−|Z|) (for two-tailed tests) where Φ is the standard normal cumulative distribution function.


I think I'll leave him to it  ;D
Title: Re: My lad is revising for further maths
Post by: ronnyd on 18 June 2017, 14:57:36
Whaaaaaat :o :o :o :o :o :o :o ;D
Title: Re: My lad is revising for further maths
Post by: Viral_Jim on 18 June 2017, 15:13:23
It all got a bit hazy after "I went"... ???

 ;D
Title: Re: My lad is revising for further maths
Post by: ronnyd on 18 June 2017, 16:08:13
Does that stuff have any relevance in the real world?  ???
Title: Re: My lad is revising for further maths
Post by: Doctor Gollum on 18 June 2017, 16:53:04
Does that stuff have any relevance in the real world?  ???
Yup. Used for statistically grading samples of anything... grains of rice/rivets/likelihood of resisting a very specific form of cancer based on genetic origin and whether you eat carrots or not/likelihood of any given grade of insulation panel resisting burning below/above any given temperature... which reminds me...
Title: Re: My lad is revising for further maths
Post by: TD on 18 June 2017, 17:00:03
Its easy, let me explain simply.....

For example..

Each apple weighs 0.25lbs and price of apples is £1.50/lb.
How much are 1kg of bananas?

See easy  ::) ;D
Title: Re: My lad is revising for further maths
Post by: Doctor Gollum on 18 June 2017, 17:02:31
Its easy, let me explain simply.....

For example..

Each apple weighs 0.25lbs and price of apples is £1.50/lb.
How much are 1kg of bananas?

See easy  ::) ;D
Statically speaking... :D
Title: Re: My lad is revising for further maths
Post by: BazaJT on 18 June 2017, 20:53:21
I understood every last word of that                          oh no wait a minute that should have been I understood the last word ;D ;D ;D
Title: Re: My lad is revising for further maths
Post by: Viral_Jim on 18 June 2017, 21:45:24
Does the lad have any idea what he wants to do as a career ste? He seems like a helluva bright chap!
Title: Re: My lad is revising for further maths
Post by: STEMO on 18 June 2017, 21:50:06
Does the lad have any idea what he wants to do as a career ste? He seems like a helluva bright chap!
He wants to follow in mummy's footsteps....teaching. I've got about 4 years to convince him of the error of his ways.
Title: Re: My lad is revising for further maths
Post by: Viral_Jim on 18 June 2017, 21:54:04
Ha!

You could talk to him about the actuarial profession, and the joys of a 6 figure salary  ;D
Title: Re: My lad is revising for further maths
Post by: STEMO on 18 June 2017, 21:54:52
Ha!

You could talk to him about the actuarial profession, and the joys of a 6 figure salary  ;D
AI will be taking care of all that soon.  :P  ;D
Title: Re: My lad is revising for further maths
Post by: Marks DTM Calib on 19 June 2017, 11:30:46
A Z test is just a means of getting an indication if a set of results is valid or not

Title: Re: My lad is revising for further maths
Post by: Field Marshal Dr. Opti on 19 June 2017, 11:47:31
Whatever happened to......"lf Johnny has two apples and he gives one apple to Jilly (for a quick feel) how many apples and what percentage of the original apples does randy Johnny have left"

Answer......one apple and 50%.

Kids stuff. :)
Title: Re: My lad is revising for further maths
Post by: Field Marshal Dr. Opti on 19 June 2017, 11:48:41
Does the lad have any idea what he wants to do as a career ste? He seems like a helluva bright chap!

On his mother's side. :)
Title: Re: My lad is revising for further maths
Post by: ronnyd on 19 June 2017, 12:47:47
Nice to have a consensus. ;D
Title: Re: My lad is revising for further maths
Post by: STEMO on 28 June 2017, 21:39:08
That is it. Last A level done today.
Now..what to do to entertain an 18 year old for nearly 3 months.
Title: Re: My lad is revising for further maths
Post by: Sir Tigger KC on 28 June 2017, 21:42:25

Now..what to do to entertain an 18 year old for nearly 3 months.

If his laptop is working OK, I'm sure he's more than capable of entertaining himself!  ;)
Title: Re: My lad is revising for further maths
Post by: STEMO on 28 June 2017, 21:57:42

Now..what to do to entertain an 18 year old for nearly 3 months.

If his laptop is working OK, I'm sure he's more than capable of entertaining himself!  ;)
I feel guilty if he doesn't get out and about but, I suppose, I shouldn't.
Title: Re: My lad is revising for further maths
Post by: aaronjb on 29 June 2017, 10:41:52
That is it. Last A level done today.
Now..what to do to entertain an 18 year old for nearly 3 months.

Strippers?
Title: Re: My lad is revising for further maths
Post by: STEMO on 29 June 2017, 10:52:02
That is it. Last A level done today.
Now..what to do to entertain an 18 year old for nearly 3 months.

Strippers?
Hmmm...I've been meaning to paint those bannisters....... :-\
Title: Re: My lad is revising for further maths
Post by: Kevin Wood on 29 June 2017, 12:57:44
That is it. Last A level done today.
Now..what to do to entertain an 18 year old for nearly 3 months.

Strippers?

That's the first 3 minutes sorted (giving the lad the benefit of the doubt). :y
Title: Re: My lad is revising for further maths
Post by: Field Marshal Dr. Opti on 29 June 2017, 18:49:23
That is it. Last A level done today.
Now..what to do to entertain an 18 year old for nearly 3 months.

I can't believe that a red-blooded 18 year old will want to be 'entertained' by an old fart for 3 months. :)

Now that would be sad.
Title: Re: My lad is revising for further maths
Post by: Field Marshal Dr. Opti on 29 June 2017, 18:51:33
That is it. Last A level done today.
Now..what to do to entertain an 18 year old for nearly 3 months.

Strippers?

That's the first 3 minutes sorted (giving the lad the benefit of the doubt). :y

Recuperation will be extremely swift for an 18 year old. He'll be ready to go (or watch) in another 15 minutes. ;)
Title: Re: My lad is revising for further maths
Post by: Rods2 on 30 June 2017, 19:44:24

Now..what to do to entertain an 18 year old for nearly 3 months.

If his laptop is working OK, I'm sure he's more than capable of entertaining himself!  ;)
I feel guilty if he doesn't get out and about but, I suppose, I shouldn't.

Time for dad to broarden his educational horizons with a day trip to London and Spearmint Rhinos. ;)
Title: Re: My lad is revising for further maths
Post by: STEMO on 30 June 2017, 19:56:46
Just dropped him at the Marriott hotel in Leeds for his end-of-college do. That will keep him going for now. Gotta drive all the way back to pick him up later.