Sales manager supervising a sales force

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You are the sales manager supervising a sales force of three in a kitchen appliance department. You are considering changing the compensation and would like to know if there is a significant difference in sales among the three salespersons.

  • Salesperson #1 sells 49 appliances.
  • Salesperson #2 sells 56 appliances.
  • Salesperson #3 sells 51 appliances.
  1. Write the null and alternative hypotheses.
  2. The ANOVA produces a calculated F of .929 the critical F is 4.26.  What is your conclusion? Will you take any action?