Congratulations for being hired Director of Casino Services for the Adelphi Casi
ID: 3042412 • Letter: C
Question
Congratulations for being hired Director of Casino Services for the Adelphi Casino and Racetrack. On your second week of work, you received a state complaint filed by 132 patrons of the casino that the vendor WMS has sent faulty slot machines to your casino. The claim has indicated that some machines are not paying out at the claimed payout percentages. To that end, your staff has sampled over a five-hour period the number of times a bonus was initiated on the machines below:
Slot Machines - http://www.wms.com/Games/Video/IPlay/Pages/default.aspx
Jade Palace
The Princess Bride
Winning Bid 2
Jackpot Block Party
Airplane
1 p.m.
1
2
3
3
4
2 p.m.
1
6
2
3
4
3 p.m.
3
3
3
1
5
4 p.m.
2
7
7
5
8
5 p.m.
6
4
8
6
3
6 p.m.
7
3
4
4
6
The five machines initiate bonuses at a mean of 4.15/per hour and a SD of 2.06
The average money spent was $212 per hour and an SD of $294
The judge advanced five complainants who kept meticulous records. The judge has allowed you to use the sum for each complainant for the bonuses (i.e. Add up each bonus per complainant and find the mean. Then convert the mean into a z-score and then find the area. You also find the z-score for the money spent per complainant.)
Money
Spent
Jade Palace
The Princess Bride
Winning Bid 2
Jackpot Block Party
Airplane
Complainant 1
$300
7
6
4
2
11
Complainant 2
$550
8
3
6
7
2
Complainant 3
$75
3
6
22
6
4
Complainant 4
$688
9
15
0
8
4
Complainant 5
$290
4
4
11
8
5
% Above in Money Spent
% Over in Bonuses Per Hour
Complainant #1
Complainant #2
Complainant #3
Complainant #4
Complainant #5
To make the decision below, the complainant must be above 65% of their class action suit group in Money Spent and over 85% in Bonuses per hour. If they exceed both metrics, then the complainant lost their case.
1) Did complainant #1 win the case? YES NO
2) Did complainant #2 win the case? YES NO
3) Did complainant #3 win the case? YES NO
4) Did complainant #4 win the case? YES NO
5) Did complainant #5 win the case? YES NO
6) You won your lawsuit if the majority of the complainants lost. Did you win your case?
(provide evidence at the end of the document.)
Congratulations for being hired Director of Casino Services for the Adelphi Casino and Racetrack. On your second week of work, you received a state complaint filed by 132 patrons of the casino that the vendor WMS has sent faulty slot machines to your casino. The claim has indicated that some machines are not paying out at the claimed payout percentages. To that end, your staff has sampled over a five-hour period the number of times a bonus was initiated on the machines below: Slot Machines - http://www.wms.com/Games/Video/IPlay/Pages/default.aspx Jade Palace The Princess Bride Winning Bid 2 Jackpot Block Party Airplane 1 p.m. 1 2 3 3 4 2 p.m. 1 6 2 3 4 3 p.m. 3 3 3 1 5 4 p.m. 2 7 7 5 8 5 p.m. 6 4 8 6 3 6 p.m. 7 3 4 4 6 The five machines initiate bonuses at a mean of 4.15/per hour and a SD of 2.06 The average money spent was $212 per hour and an SD of $294 The judge advanced five complainants who kept meticulous records. The judge has allowed you to use the sum for each complainant for the bonuses (i.e. Add up each bonus per complainant and find the mean. Then convert the mean into a z-score and then find the area. You also find the z-score for the money spent per complainant.) Money Spent Jade Palace The Princess Bride Winning Bid 2 Jackpot Block Party Airplane Complainant 1 $300 7 6 4 2 11 Complainant 2 $550 8 3 6 7 2 Complainant 3 $75 3 6 22 6 4 Complainant 4 $688 9 15 0 8 4 Complainant 5 $290 4 4 11 8 5 % Above in Money Spent % Over in Bonuses Per Hour Complainant #1 Complainant #2 Complainant #3 Complainant #4 Complainant #5 To make the decision below, the complainant must be above 65% of their class action suit group in Money Spent and over 85% in Bonuses per hour. If they exceed both metrics, then the complainant lost their case. 1) Did complainant #1 win the case? YES NO 2) Did complainant #2 win the case? YES NO 3) Did complainant #3 win the case? YES NO 4) Did complainant #4 win the case? YES NO 5) Did complainant #5 win the case? YES NO 6) You won your lawsuit if the majority of the complainants lost. Did you win your case? (provide evidence at the end of the document.)
Slot Machines - http://www.wms.com/Games/Video/IPlay/Pages/default.aspx
Jade Palace
The Princess Bride
Winning Bid 2
Jackpot Block Party
Airplane
1 p.m.
1
2
3
3
4
2 p.m.
1
6
2
3
4
3 p.m.
3
3
3
1
5
4 p.m.
2
7
7
5
8
5 p.m.
6
4
8
6
3
6 p.m.
7
3
4
4
6
Explanation / Answer
fill the table like this. find the z-score by the formula (x-mu)/sigma.
Find the percentage by the formula norm.s.dist(z-score,true)
Only complainant 4 scores over 65% in money spent and over 85% in bonuses per hour. so he wins the lawsuit.
a)
Did complainant #1 win the case? NO
2) Did complainant #2 win the case?
NO
3) Did complainant #3 win the case?
NO
4) Did complainant #4 win the case?
YES
5) Did complainant #5 win the case?
NO
6) You won your lawsuit if the majority of the complainants lost. Did you win your case?
yes, since only 1 out of 5 has won the lawsuit, the majority is towards our side.
Money spent Jade Palace The Princess Bride Winning Bid 2 Jackpot Block Party Airplane z-score of money spent norm.s.dist(z-score,true) Avg bonuses per hour z-score of avg bonuses/ hr norm.s.dist(z-score,true) Complainant 1 $300 7 6 4 2 11 0.30 61.8% 6 0.90 81.5% Complainant 2 $550 8 3 6 7 2 1.15 87.5% 5.2 0.51 69.5% Complainant 3 $75 3 6 22 6 4 (0.47) 32.1% 8.2 1.97 97.5% Complainant 4 $688 9 15 0 8 4 1.62 94.7% 7.2 1.48 93.1% Complainant 5 $290 4 4 11 8 5 0.27 60.5% 6.4 1.09 86.3%Related Questions
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