The weight of the contents of a can of Campbell's minestrone soup can be modelled by a normal distribution with a mean of 440.3 grams and a standard deviation of 3.9 grams. A random sample of 12 cans is selected for quality control testing. Determine the probability that (to 4 decimal places)
1. A randomly selected can weighs more than 436.0 grams
2. The sample mean of the cans taken for quality control testing will be within the target range of 437.0 to 443.0 grams
We have the following information i.e.
Here, X is weight of the contents of a can of Campbell's minestrone soup.
A random sample of 12 cans is selected. So, sample will follow
1. The probability that a randomly selected can weighs more than 436.0 grams i.e.
2. The sample mean of the cans taken for quality control testing will be within the target range of 437.0 to 443.0 grams
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