This is the most complete guide on A Level JC H2 Math Hypothesis Testing.
The best part?
It comes with hypothesis testing questions and answers pdf and VIDEO SOLUTIONS.
So if you want to master hypothesis testing in time for A Level, you’ll love this.
Let’s dive right in..
Contents (Clickable links ✓)
If you are confused/new
- Population normal, variance known
- Population normal, variance unknown
- etc
Practice questions with solutions
- How to determine null hypothesis?
- How to determine alternate hypothesis
- What is x̄ and X̄?
- What is observed test statistic, z?
- What is the critical region?
- How to obtain p-value using the Graphing Calculator?
- What does step 2 mean?
- Why is Z equals to that clunky looking fraction?
- How to use MF26 to get z critical?
- Sample data in Sigma Notation form
- How to use MF26 to get p-value?
- Population Variance Unknown
- Side by Side comparison with Question 3
- How to calculate s², unbiased estimator of population variance?
- Sample data in Raw Form
- How to compute p-value using “Data” instead of “Stats”?
- What is the meaning of “5% LoS” in context of question?
For curious students
- What is Central Limit Theorem
- Why does X̄ have a reduced variance? (coming soon)
- Why sample size greater than 30? i.e. why not 29 or 31? (coming soon)
- What is unbiased estimator? (coming soon)
- Why divide by n-1? (coming soon)
- Why normal population, variance unknown and small sample size out of syllabus? (coming soon)
For those who don’t like to read
How to use this hypothesis testing guide
1. If you learn better from watching than reading..
If you don’t like reading long articles, and prefer watching videos
Check out our Tl:dr section below
I’ve compiled every single video in here into a playlist.
2. About me
Hey, I’m Mr Wu.
I’ve used this exact guide to help many students master hypothesis testing.
That being said..
3. this is a long guide, you don't need to to go through everything
Every student is at different stages of revision and have different questions.
To cover as much ground as possible, this guide had to be long.
You don’t need to go through everything.
But if you do, I guarantee you will master H2 math Hypothesis Testing
(mastering is much much more than just scoring an A..)
4. to succeed you must write
Writing improves retention of new information.
(Govt say one hor, don’t play play)
If you want to master Hypothesis Testing, you need to start writing!
5. to understand you must ask
My explanation might be clear to some, but confusing to others.
There’s a comment box at the end of each section.
Click on it.
Let me know how I can improve this guide.
Or maybe you have a question about something you see.
Leave a comment!
The gist of hypothesis testing
Is Hypothesis Testing just memorization to you?
Are you writing solutions despite a vague understanding?
Instead of reading h2 math hypothesis testing notes, why not watch a video?
Let me explain the gist of Hypothesis Testing!
Video: GIST OF H2 Math Hypothesis TESTING
I kept the video simple, avoiding jargons and technical terms.
You do need to know binomial distribution though!
H2 math hypothesis test flow chart
I assume you have attempted h2 maths hypothesis testing assignments and tutorials.
Then you would know..
H2 math hypothesis testing is hard because of Step 2
Students are confused with what to write after <Under H₀>
I have simplified this with a flow chart.
(Note: Dear H2 Further Math students, I’m sorry but this flow chart will not work for you!)
Flow CHART VIDEO
- Is the population normally distributed?
- Is the population variance known?
H2 math hypothesis testing question 1
Q1 Video Solution
In Q1 we also covered
- How to determine H0 and H1 (1:08 in video)
- What is x̄ and X̄ (3:35 in video)
- What is z-value (4:19 in video)
- What is the critical region (5:47 in video)
- How to obtain p-value from the GC (7:34 in video)
H2 math hypothesis testing Practice Question 2
Q2 Video Solution
In Q2 we talked about:
- What does step 2 mean (1:28 in video)
- Why is Z equals to that clunky looking fraction? (2:35 in video)
- How to use MF26 to get z critical (4:13 in video)
H2 math hypothesis testing Practice Question 3
Q3 Video Solution
In Q3 we cover
- How to process Sample data in Sigma Notation form
- Population Variance vs Sample Variance, which one to use (0:48 in video)
- How to work out x̄, unbiased estimator of population mean (1:17 in video)
- How to use MF26 to get p-value (4:30 in video)
H2 math hypothesis testing Practice Question 4
Q4 Video Solution
In Q4 we discuss
- Population Variance Unknown type of question
- Side by Side comparison with Question 3
- How to calculate s², unbiased estimator of population variance (0:48 in the video)
H2 math hypothesis testing Practice Question 5
Q5 Video Solution
In Q5 we go through
- How to treat Sample data in Raw Form
- How to compute p-value in GC using “Data” instead of “Stats”
- What is the meaning of “5% Level of Significance”
H2 math hypothesis testing Practice Question 6
In Q6 we attempt
- A past year question from A Levels 2017
What is Central Limit Theorem?
What is Central Limit Theorem?
Here’s a short 15 second clip
ICYMI, here’s a pictorial summary of CLT
Ok here’s a proper summary taken from stats.libretext.org
Do note that we can only invoke CLT when sample sizes are 30 and above!
Tl:dr (Too long: Didn't read)
Here are the videos used in this guide.
These links will open them in a new window.
- The Gist of Hypothesis Testing
- Flow Chart
- Practice Question 1
- Practice Question 2
- Practice Question 3
- Practice Question 4
- Practice Question 5
- Practice Question 6
- Sampling Simulation
As you see, this H2 Math Hypothesis Testing Guide is really comprehensive.
What do you think?
Did I miss anything?
Or maybe you have a question.
Or just dropping some good vibes. In that case, thanks in advance!
Let me know by leaving a comment below
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