Question

After getting trounced by your little brother in a children’s game, you suspect the die he gave you to roll may be unfair. To check, you roll it 60 times, recording the number of times each face appears. Do these results cast doubt on the die’s fairness?

a) If the die is fair, how many times would you expect each face to show?

b) To see if these results are unusual, will you test goodness-of-fit, homogeneity, or independence?

c) State your hypotheses.

d) Check the conditions. Is the counted data conditions met? (Yes or No)

is the randomization condition met? (Yes or No)

Is the expected cell frequency condition met (Yes or No)

e) How many degrees of freedom are there?

f) Find and the P-value. (Round to 4 decimal places)

g) State your conclusion. Assume that 0.05 is a reasonable significance level.

Face   Count
1   14
2   8
3   7
4   9
5   8
6   14

Answer 1