Complete the following problem showing your work:
To demonstrate the effects of listening to different kinds of music while working on productivity, researchers recruited a sample of 9 people. They randomly assigned each person to one of the music groups: Group 1 listened to Heavy Metal, Group 2 listened to Country, and Group 3 listened to nothing. Each participant was given a data entry task to complete while they listened to music. The researchers noted the number of errors each participant made in data entry (dependent variable). The number of errors made by participants are given below.

Test whether or not there are differences in the number of errors made based on the type of music listened to, using a .05 level of significance. State the value of the test statistic and the decision to retain or reject the null hypothesis.
Null and alternative hypotheses (1 point each)
SSTotal, SSBetween, and SSWithin (1 point each)
dfTotal, dfBetween, and dfWithin (1 point each)
MSBetween and MSWithin (1 point each)
F-value (1 point)
F critical value (1 point)
Decision whether to retain or reject null hypothesis (1 point)