Confidence Intervals and Statistical Tests

To estimate the range within which a population parameter lies

To determine the exact value of a population parameter

To prove a hypothesis is true

To compare two unrelated samples

Binomial and geometric distributions

Exponential and uniform distributions

Normal and Poisson distributions

Z and t distributions

Factorial design

Independent sample design

Matched pair design

Randomized block design

The sum of the samples

The mean of each sample

The mean difference between two samples

The variance of the samples

To compare two independent samples

To compare two related samples

To determine the population variance

To calculate the sample mean

Categorical data

Ordinal data

Normally distributed data

Interval data

Identify the population mean

Determine the sample size

Find the difference between paired samples

Calculate the variance of each sample

To reduce the variance

To increase the sample size

To ensure the samples are independent

To accurately calculate the mean difference

By multiplying the means of both samples

By dividing the sum of differences by the number of pairs

By subtracting the mean of one sample from the other

By adding the means of both samples

The average of the standard deviations of two samples

The sum of the standard deviations of two samples

The square root of the variance of differences

The difference between the standard deviations of two samples