Question

There is an annual hot dog eating contest in Plattsburg, MS and the average number of hot dogs eaten by one person is 36 with a standard deviation of 6. Find the critical value for a person who can eat more than 2 deviations above the mean.

Answer 1

Answer: 2

Explanation:

Given : There is an annual hot dog eating contest in Plattsburg, MS and the average number of hot dogs eaten by one person $\mu=36$

Standard deviation : $\sigma=6$

let X be a random variable that represents the number of hot dogs eaten by any person in annual hot dog eating contest .

The formula to calculate the critical value of z is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For $x=36+2(6)=48$

$z=\dfrac{48-36}{6}=2$

Hence, the critical value for a person who can eat more than 2 deviations above the mean = 2.