Still Confused?

Try reviewing these fundamentals first.

- Home
- A-Level Maths
- Normal Distribution and Confidence Intervals

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

Nope, I got it.

That's that last lesson.

Start now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started Now- Lesson: 116:44
- Lesson: 2a5:24
- Lesson: 2b3:20
- Lesson: 2c4:09
- Lesson: 2d4:20
- Lesson: 32:36
- Lesson: 4a6:34
- Lesson: 4b4:05

Basic concepts: Measures of relative standing - z-score, quartiles, percentiles,

- 1.Confidence Level: $1-\alpha$

.

Common Confidence levels:

$\cdot$ $0.90$→$Z_\frac{\alpha}{2}=1.645$

$\cdot$ $0.95$→$Z_\frac{\alpha}{2}=1.96$

$\cdot$ $0.99$→$Z_\frac{\alpha}{2}=2.575$

Critical value is the z-score relating to a confidence level

- 2.
**Finding the Critical Value**

Find the resulting critical values from the following confidence levels:a)A confidence level of 0.50b)A confidence level of 0.90c)A confidence level of 0.95d)A confidence level of 0.99 - 3.What would be the value of $Z_\frac{\alpha}{2}$ for a confidence level of 0.98?
- 4.
**Theoretical interpretation of the confidence level and critical value**

What would be the resulting critical value fora)A confidence level of 1?b)A confidence level of 0?

37.

Normal Distribution and Confidence Intervals

37.1

Introduction to normal distribution

37.2

Normal distribution and continuous random variable

37.3

Z-scores and random continuous variables

37.4

Sampling distributions

37.5

Central limit theorem

37.6

Confidence levels and critical values

37.7

Confidence intervals to estimate population mean

37.8

Student's t-distribution

We have over 1290 practice questions in A-Level Maths for you to master.

Get Started Now