Cans of regular coke are labeled as containing 12 oz. statistics students weighted the content of 5 randomly chosen cans, and found the mean weight to be 12.13. 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 0.12 oz. find the probability that a sample of 5 cans will have a mean amount of at least 12.13 oz.

0.0078

Step-by-step explanation:

We 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 0.12 oz.

As per given , we have

 and

Sample size : n= 5

Let be the sample mean amount of coke in can.

Then, the  probability that a sample of 5 cans will have a mean amount of at least 12.13 oz will be :_

 [By using z-table]

Hence, the required probability = 0.0078

- 1.613 = -1.6 or -1.61

-1.522 = -1.5 or -1.52

0.587 = 0.6 or 0.59

3.079 = 3.1 or 3.08

1,645,493,059.35

step-by-step explanation: