6) Confidence Interval And Hypothesis Testing

Question 1

Central limit theorem

Answer 1

The distribution of means from sample size n, obtained on a population with standard deviation s, converges to a normal distribution with the same mean as the population and standard deviation given by s/sqrt(n)

Question 2

Confidence interval

Answer 2

• the population mean is in the itnerval u +- 2SE with 95% confidence
• the interval pop mean +- 2SE contains 95% of the means from the samples drawn from the population

SE = s/sqrt(n)

Question 3

P value

Answer 3

• probability of having a sample with a mean as extreme or more extreme than X, assuming that Ho is true
• the smaller the p value, the less likely Ho is true
• if small p value -> reject Ho

Question 4

True or false: P value is the probability of Ho being true?

Answer 4

False

Question 5

True or false: High p value means that Ho is true

Answer 5

NO