Question

In: Statistics and Probability

Cans of regular Coke are labeled as containing 12 oz. Statistics students weighed the contents of...

Cans of regular Coke are labeled as containing 12 oz. Statistics students weighed the contents of 7 randomly chosen cans, and found the mean weight to be 12.12 ounces. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.09 oz. Find the probability that a sample of 7 cans will have a mean amount of at least 12.12 oz.

Expert Solution

Solution :

Given that,

mean = = 12

standard deviation = = 0.09

= =12

= / n = 0.09 / 7 = 0.034

P( >12.12 ) = 1 - P( <12.12 )

= 1 - P[( - ) / < (12.12-12) / 0.034]

= 1 - P(z <3.53 )

Using z table

= 1 - 0.9998

= 0.0002

probability=0.0002

orchestra answered 3 years ago

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