Populations and Samples

A random number generator, generates random integers, $X$`X`, between $43$43 and $65$65 with equal probability.

a

What type of probability distribution does this scenario represent?

Uniform continuous probability distribution

A

Uniform discrete probability distribution

B

Uniform continuous probability distribution

A

Uniform discrete probability distribution

B

b

What is the mean or expected value of this distribution of generated random numbers?

c

A sample of $10$10 numbers are generated and shown below.

$43,49,62,57,47,64,58,50,59,47$43,49,62,57,47,64,58,50,59,47

Calculate the mean of this sample data.

Easy

Approx 3 minutes

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Make inferences from surveys and experiments: A determining estimates and confidence intervals for means, proportions, and differences, recognising the relevance of the central limit theorem B using methods such as resampling or randomisation to assess

Use statistical methods to make a formal inference