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Darina [25.2K]
3 years ago
12

Suppose babies born in a large hospital have a mean weight of 4022 grams, and a standard deviation of 266 grams. If 53 babies ar

e sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by more than 45 grams?
Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer: 0.866

Step-by-step explanation:

Mean = 4022

SD = 266

We are looking for the probability of samples 45g differ than the mean. Hence 2 probability combination:

X>4067 and X<3977

Calculate for Z we'll get Z = 0.16917 and -0.161917

Using Z formula we can find P(Z=0.17) = 0.433

Since both probability will occupy the same area, total probability is 0.433x2 = 0.866

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