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c the frequencies one would expect if the sample were normally distributed d non

ID: 3362287 • Letter: C

Question

c the frequencies one would expect if the sample were normally distributed d none of the above Instructions: Questions 6 and 7 refer to the following observed data: A gambler interested in increasing his understanding of the odds associated with a standard deck of playing cards conducts the following experiment. Using a standard deck of 52 cards, he randomly "cuts" the deck twenty times and records the suit of the top card. The resulting distribution is as follows: Clubs 3 Diamonds 11 Hearts 0 Spades 6

Explanation / Answer

here as each suit has equal probability =1/4

theefore applying chi square goodness of fit on above data:

from above chi square test statistic =13.2

observed Expected Chi square category Probability O E=total*p =(O-E)^2/E club 0.250 3.000 5.00 0.80 Diamond 0.250 11.000 5.00 7.20 Heart 0.250 0.000 5.00 5.00 spade 0.250 6.000 5.00 0.20 1 20 20 13.2000
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