Question

Cans of regular coke are labled to indicate they contain 12 oz. Lets say we have a sample n=36 with mean 12.19 oz. Assuming u=12oz and zigma=0.11oz, find the probablity that a sample of 36 cans will have a mean of 12.19 oz or greater. Do the results indicate an unusual event?

Answer 1

Solution :

Given that ,

mean = = 12

standard deviation = = 0.11

n = 36

= and

= / n = 0.11 / 36 = 0.11 / 6

P( 12.19) = 1 - P( 12.19)

= 1 - P(( - ) / < (12.19 - 12) / 0.11 / 6)

= 1 - P(z < 10.36)

P( 12.19) = 1 - 1 = 0

Probability = 0

Probability is less than 0.05 .

This is the unusual event .