Question
Multiple Sample Hypothesis Testing with Playing Cards Take a standard deck of 52 playing cards. Separate the cards into 4 stacks by suit. For our
Multiple Sample Hypothesis Testing with Playing Cards Take a standard deck of 52 playing cards. Separate the cards into 4 stacks by suit. For our purposes, let's assume the Ace is worth 1 point, 2 through 10 are worth their respective points, Jack is worth 11 points, Queen is worth 12 points, and King is worth 13 points. So there are 4 suits with values of 1 through 13 in them. The average value of all cards is 7.00. From the Diamonds, remove the A, 2, 3 and 4; shuffle the rest of the stack and randomly choose 4 cards. From the Hearts, remove the A, 2, Q and K; shuffle the rest of the stack and randomly choose 4 cards. From the Clubs, remove the 10, J, Q and K; shuffle the rest of the stack and randomly choose 4 cards. From the Spades, remove nothing; shuffle the entire stack and randomly choose 4 cards. Using the Excel file for Analysis of Variance, conduct an ANOVA to test for a difference in the means for the four suits. Use a .05 significance level. If the null is rejected, be sure to look at the post hoc test results that follow. After each student has posted their results, which will include the card values for each suit and the p-value, conclusion and post hoc results for the hypothesis test, the instructor will summarize the findings. What we should see is that many samples will probably show a significant difference between the suits since the values are lower for some suits and higher for others.
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