Suppose a certain capsule is manufactured so that the dosage of the active ingredient follows the distribution y ~ n(μ = 10 mg, σ = 1 mg). a dosage more than 13mg is considered dangerous. if we sample 49 capsules at random, compute the probability that the mean, y-bar, falls into the dangerous region. pick the closest answer be

So that the means of the sample falls into the dangerous region then

Where is normally distributed with mean  and standar desviation

Then

So:

Finally

.

The probability that the sample mean falls in the dangerous region is approximately zero.

This makes sense, since as the sample size increases, it is less likely to deviate more than 2 standard deviations from the mu population mean.

this is a very good question

step-by-step explanation:

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your answer is the frist one

hop i