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A lottery researcher collecting data for an article on his state lottery system,

ID: 406593 • Letter: A

Question

A lottery researcher collecting data for an article on his state lottery system, has found the 200 digits most recently selected to be distributed as shown below. Based on this information, and using the 0.10 level of significance, can he conclude that the digits have not been drawn from a discrete uniform distribution?

Digit Frequency

0___1___2 __3 __4__ 5__ 6 __ 7 __8__ 9

17_18__24__ 25_ 19_ 16 _14_ 23_ 24_ 20

total 200

0___1___2 __3 __4__ 5__ 6 __ 7 __8__ 9

17_18__24__ 25_ 19_ 16 _14_ 23_ 24_ 20

total 200

Explanation / Answer

Given the Siginificance level = 0.10.

Digit Frequency

he conclude that the digits have not been drawn from a discrete uniform distribution. Level of significance is 10% and the value of z is 1.28. Since standard deviation and mean are not available.

0 17 1 18 2 24 3 25 4 19 5 16 6 14 7 23 8 24 9 20
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