Statistics Chapter 6 (Probability Distribution)

Question 1

What is the sampling distribution

Answer 1

It ist the probability distribution that specifies probabilities for the possible values the statistic can take
For example when measuring different samples of a opinion, the results will always differ a bit, because no sample is the same. The probability distribution summarises these results

It helps us to determine how close to the population parameter a sample statistics is likely to fall

Question 2

Explain the central limit theorem

Answer 2

For any large enough sample, the sampling distribution of the mean is approximately normally distributed with the mean and the standard deviation.
In normal English, if the values for a variable are not normally distributed, if you repeat it many times, the means of the variable will be normaly distributed

Question 3

What does binary mean

Answer 3

That there are only two possible outcomes

Question 4

What does binary mean

Answer 4

That there are only two possible outcomes

Question 5

Explain the relationship between population distribution, data distribution and sampling distribution

Answer 5

Population distribution is the distribution of a variable in the whole population (this is what we want to know)
Data distribution is the distribution of a sample of the population
Sampling distribution is the distribution of the different samples, so that we can know what a likely value for the population is