Sodas in a can are supposed to contain an average 12 oz. This particular brand has a standard deviation of 0.1 oz, with an average of 12.1 oz. If the can’s contents follow a Normal distribution, what is the probability that the mean contents of a six-pack are less than 12 oz?

The probability is  

Step-by-step explanation:

From the question we are told that

        The population mean is

         The  standard deviation is  

          The sample mean is  

          The sample size is  n = 6 packs

The standard error of the mean is mathematically represented as

substituting values

Given that the can’s contents follow a Normal distribution then then  the probability that the mean contents of a six-pack are less than 12 oz is mathematically represented as

Generally  

So

substituting values

From the normal distribution table the value of is  

=>  

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

7.3

step-by-step explanation: