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

Step-by-step 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=(x-\mu)/(\sigma)`

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

`z=(48-36)/(6)=2`

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