Recently, the Maryland Gaming Commission has received complaints from numerous patrons of the

Maryland Live! Casino in Hanover, Maryland, regarding the dice game known as Craps. The compla

ints

generally state that the dice at the casino appear to be "loaded," meaning unfair. To investigate, you

select a random sample of dice from the casino and test whether each die is fair, meaning whether

each

of the six sides is equally likely. The resul

ts for one die follow:

VALUE f

1 10

2 20

3 32

4 35

5 31

6 22

a. State the null and alternative hypotheses associated with the test.

b. What is the calculated value of the associated test statistic?

c. If the level of significance equals 0.01, what is the critical value of the associated test statistic?

d. State your decision regarding the null hypothesis.

e. State your conclusion

(meaning, describe what the decision means in this problem).