Sample Test Stuff

We will test two sample variances using the F-distribution to see how likely it is that the population variances are equal. \(\sigma_x = \sigma_y\)

Define the variables

# Define known variables
n_1 = 16; x_bar = 67.1; var_x = 7.82 
n_2 = 13; y_bar = 72.3; var_y = 24.12 

Was the probability significant? True or False?

## [1] 0.02120469

## [1] TRUE