It is expected that you provide the step-by-step hypothesis test writing for every null hypothesis posed in your responses - standard protocol for all remaining labs.

The sponsors of the workshop, with the help of a researcher, decided to compare the results on the initial knowledge test for each of the four program groups of educators with those of the population of educators who attended similar workshops and who wrote the initial knowledge test (from Lab 3, #3.4: = 66.52 and = 12.27). Is there evidence that any of the four program area groups differ on average from the population on the initial knowledge test that they took in the workshop? Stated another way, Does it matter with respect to the initial knowledge test which of the four program areas the educators represent?