Amanufacturing process produces potato chip bags that have normally distributed weights, with a mean weight of 15 oz. and a standard deviation of .3 oz. what is the probability that 16 randomly selected bags have a mean weight that exceeds 15.2 oz?

Step-by-step explanation:

This a normal distribution. We need to calculate the Z score, and then with a Z-table, find the probability. We do that, using the mean, standard deviation and the value from the question 15.2 oz.

So, Z score:

Refer to the image attached. If we consult the z-table, we find that 0.6 belongs to a probability of 0.73. But, we need to find the probability of weight that exceeds 15.2 oz. So, we need to subtract the 0,73, from the total probability, which is one:

Just, remember that 0.73 belongs to a probability where the weight is less than 15.2, that's why we need to subtract.

Hence, the probability is 27%.

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