Question

Below are the results of the most recent Nathan’s Hot Dog Eating Contest held this year. The average number of hot dogs that can be consumed in 10 minutes by competitive eaters in the United States is 42 (SD =6.6). Answer the Following questions –

PARTICIPANT	NUMBER OF HOT DOGS
Joey Chesnut	72
Carmen Cincotti	62
Matt Stone	48
Geoffrey Esper	46
Miki Sudo	41
Michelle Lesco	33
Sonya Thomas	30

1. Calculate a z-score for each participant.
2. What is the probability that a competitive eater would be able to eat more hot dogs than Miki Sudo but fewer than Matt Stone?
3. What percentage of eaters can eat more hot dogs than Sonya Thomas?
4. What percentage of eaters can eat less than Michele Lesco?
5. If Takeru Kobayashi has a standardized score of 10.30; how many hot dogs can he consume?
6. How many hot dogs can a person who is in the 70^th percentile consume?
7. How many hot dogs can a person who is in the 40^th percentile consume?
8. Draw the distribution for both F & G labeling the Z, X and p on the abscissa.

Answer 1