The weights of the population of cans of Coke are normally distributed with a mean of 12 oz and a population standard deviation of 0.13 oz. Using the answer from part (a), find the probability that a sample of 10 cans will have a sample mean weight between 11.98 oz and 12.03 oz. Round your answer to 4 decimal places.
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We are told that the weights of cans of Coke are normally distributed with a mean (\(\mu\)) of 12 oz and a population standard deviation (\(\sigma\)) of 0.13 oz. We are interested in finding the probability that the mean weight of a sample of 10 cans falls between Show more…
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Cans of regular Coke are labeled as containing 12 oz. Statistics students weighed the content of 9 randomly chosen cans and found the mean weight to be 12.09 oz. 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 σ = 0.11 oz. Find the probability that a sample of 9 cans will have a mean amount of at least 12.09 oz. Hint: If you have the population standard deviation (which you do in this case), you can use the normal distribution instead of the t-distribution.
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