Confidence Interval

Hypothesis Testing

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.

For girl: 0.5(father’s height + mother’s height) – 6.35

For boy: 0.5(father’s height + mother’s height) + 6.35

(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.

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Teacher for the intro,

What should we have in intro?

Teacher can i have the solution ASAP because i need to hand in this week.

Tq..

ok. Posting

Sir, can I know how to make sentence for the question 4 (b)?

Teacher, may i ask the answer for question 2? Thank you

You can check the first pic

how to know that the confidence interval is 95 percent?

95% is just a sample. You can take any confidence level.

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.

Hi. The sample solution is given above. You can refer the two pictures attached.

Sir, is it possible to reject H0 ? I calculated my X2 cal is 11.922, is it too big?

Yes

May I know the test statistics is mean-mean(predicted height of short group)？or mean-mean(short group)

Which test statistic do you mean

sir, may i ask how to find the critical value at 8% of significance level?

Which test are you referring?

Sir, may I know how to ensure the randomness of the sample. (The Question in 1.a)

Prepare a box with balls with numbers

Pick a ball

Sir, can I know how to find the predicted height?

The predicted height formula is given in the question. It depends on boys or girls.