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STPM PBS Assignment

STPM Mathematics (T) Term 3 Assignment

By KK LEE

June 24, 2016

STPM 2016 Term 3 MT Coursework Explained

JUNE, 2016

Sampling
Confidence Interval
Hypothesis Testing

I will start posting Mathematics (T) coursework sample answer again this term. Only sample solution for mathematical part will be posted. Thanks

Parents often wonder how tall their kids would be. Would they be short, average, or tall? Is height inherited?

1 (a) Select a random sample of 50 upper secondary students of the same gender from your school. Describe how to ensure the randomness of your sample.
(b) Record the heights of the students and their parents in centimeters.

2 Determine suitable confidence intervals for the mean height of the students using a normal distribution. Interpret your results.

Measure your height

Photograph by Johanna84 via Pixabay

The height, in cm, of a person can be predicted from one’s parents’ heights using the following formulae:
For girl: 0.5(father’s height + mother’s height) – 6.35
For boy: 0.5(father’s height + mother’s height) + 6.35

“Please ask your school teacher for introduction, methodology, and conclusion.”

3 (a) Calculate the predicted heights of the students based on of the formulae given above.
(b) Classify the predicted heights into three categories (short, average and tall).

4 (a) Carry out a suitable hypothesis test to determine whether the students’ actual heights can be modeled by the predicted heights by category.
(b) What can you say about the formula given?
(c) Comment on whether the height of a person is inherited from one’s parents.

Knowledge.

Photograph by jarmoluk via Pixabay

Sample solution will be posted once i discussed the solution in class. If you are my students and you need the solution asap, Whatsapp me! So that i can plan about the date to discuss the questions.

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Tags: Hypothesis Testing MT Term 3 Normal Distribution Sampling STPM 2016 STPM MT

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KK LEE

KK LEE has been a STPM Mathematics tuition teacher since June 2006, but his love of Maths dates back to at least 1999 when he was Form 4. KK LEE started teaching in 2006 at Pusat Tuisyen Kasturi. He was known as "LK" when he was teaching in PTK. After teaching STPM Mathematics for 8 years in PTK, he joined Ai Tuition Centre in 2014. Over the years he has taught Mathematics (T), Mathematics (S), Mathematics (M), Additional Mathematics.

20 Comments

nabilah on August 17, 2016 at 11:02 pm

Teacher for the intro,
What should we have in intro?
Reply
Chin on September 5, 2016 at 1:30 pm

Teacher can i have the solution ASAP because i need to hand in this week.
Tq..
Reply
- KK LEE on September 6, 2016 at 11:35 pm
  
  ok. Posting
Chu on September 9, 2016 at 6:37 pm

Sir, can I know how to make sentence for the question 4 (b)?
Reply
Su on September 12, 2016 at 10:11 am

Teacher, may i ask the answer for question 2? Thank you
Reply
- KK LEE on September 12, 2016 at 11:47 am
  
  You can check the first pic
N on September 14, 2016 at 11:31 pm

how to know that the confidence interval is 95 percent?
Reply
- KK LEE on September 15, 2016 at 12:37 am
  
  95% is just a sample. You can take any confidence level.
Xiao Chun on September 19, 2016 at 10:57 pm

Teacher,can you give me the sample answer for this assignment?I neeeded to hand in this week,hope you can email to me.Thank you.
Reply
- KK LEE on September 20, 2016 at 9:42 am
  
  Hi. The sample solution is given above. You can refer the two pictures attached.
Alice on September 23, 2016 at 9:58 pm

Sir, is it possible to reject H0 ? I calculated my X2 cal is 11.922, is it too big?
Reply
- KK LEE on September 25, 2016 at 6:27 pm
  
  Yes
Jia xin on October 1, 2016 at 1:25 am

May I know the test statistics is mean-mean(predicted height of short group)？or mean-mean(short group)
Reply
- KK LEE on October 2, 2016 at 7:15 pm
  
  Which test statistic do you mean
peipeichn on October 2, 2016 at 8:36 pm

sir, may i ask how to find the critical value at 8% of significance level?
Reply
- KK LEE on October 2, 2016 at 9:15 pm
  
  Which test are you referring?
vishnuphantom on October 7, 2016 at 5:56 pm

Sir, may I know how to ensure the randomness of the sample. (The Question in 1.a)
Reply
- KK LEE on October 7, 2016 at 11:51 pm
  
  Prepare a box with balls with numbers
  
  Pick a ball
unknowm on October 8, 2016 at 5:43 pm

Sir, can I know how to find the predicted height?
Reply
- KK LEE on October 9, 2016 at 11:50 pm
  
  The predicted height formula is given in the question. It depends on boys or girls.