Question

In: Statistics and Probability

Below are the results of the most recent Nathan’s Hot dog eating Contest held this year....

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

Participant

Number of hotdogs

Z score

A

72

4.55

B

62

3.03

C

48

0.91

D

46

0.61

E

41

-0.15

F

33

-1.363

G

30

-1.82

a) How many hot dogs can a person who is in the 70th percentile consume?

b) How many hotdogs can a person who is in the 40th percentile consume?

Solutions

Expert Solution

Ans:

a)

P(Z<=z)=0.7

z=normsinv(0.7)=0.5244

x=42+0.5244*6.6=45.46 i.e. 45 approximately

b)

P(Z<=z)=0.40

z=normsinv(0.4)

z=-0.2533

x=42-0.2533*6.6=40.33 i.e. 40 approximately

orchestra answered 2 years ago
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