A business major wants to determine whether the variation in advertising costs of hair salons is different from the variation in advertising costs of nail salons.He surveys several businesses and finds the standard deviation in monthly advertising costs is $23 for 12 hair salons, and $43 for 8 nail salons.

What is the test value for this hypothesis test?

Test value:

At the 0.05 level of significance, what is the critical value?

Critical value: