Question

Suppose you wish to test if a number cube (die) is loaded or not. If the...

Suppose you wish to test if a number cube (die) is loaded or not. If the die is not loaded, the theoretical probabilities for each roll should be:

1

2

3

4

5

6

16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 %


You roll the die 83 times and come up with the following distribution:

1

2

3

4

5

6

12 11 19 12 15 14

(Dont need to show work just answer)
What type of test should be used in this situation and what is the test statistic?

a) One proportion z test; z = 2.140

b) χ2 Goodness of Fit; χ2 = 3.096

c) One proportion z test; z = 0.085

d) χ2 Goodness of Fit; χ2 = 4.074

e) Two proportion z test; z = 0.085

f) None of the above

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Answer #1

The statistical software output for this problem is :

b) χ2 Goodness of Fit; χ2 = 3.096

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