18.3 - Student's T-test Flashcards
How the student's t-test can be used to compare means between two datasets
What is Student’s t-test?
Statistical test to compare means of two populations
What are the conditions for using Student’s t-test?
Continuous data
What is the formula for variance?
Variance = Σ(x-x̄)^2 / (n-1)
What are the steps in conducting a t-test?
State null hypothesis
What is the null hypothesis in a t-test?
No significant difference between means
What is the formula for the t statistic?
t = (x̄1 - x̄2) / √(σ1^2/n1 + σ2^2/n2)
What does x̄1 represent in the t-test formula?
Mean of first dataset
What does x̄2 represent in the t-test formula?
Mean of second dataset
What does σ1 represent in the t-test formula?
Standard deviation of first dataset
What does σ2 represent in the t-test formula?
Standard deviation of second dataset
What does n1 represent in the t-test formula?
Sample size of first dataset
What does n2 represent in the t-test formula?
Sample size of second dataset
How do you calculate degrees of freedom (df) in a t-test?
df = n1 + n2 - 2
When do you reject the null hypothesis in a t-test?
t statistic is greater than critical value
When do you accept the null hypothesis in a t-test?
t statistic is less than critical value
