Solve the following:
Q1. You would like to help some of your math-deficient friends understand probability before they loose too much on lottery tickets. After shuffling two decks of cards, you lay down 40 of them. You say that there should be 10 in each of the four suits: hearts, diamonds, spades, and clubs. What you actually get is 9 hearts, 8 diamonds, 10 spades, and 13 clubs. Close enough you say. What are the factors to be researched? What level of data is described? What statistic would you use to make your decision?
Q2. The mental health and rehabilitation counselors at one state agency were fighting over who was getting paid the most. A mediator was brought in to study the situation and tell the decision makers if a significant difference was found between the groups. What are the factors to be researched? What level of data is described? What statistic would you use to make your decision?