Ask Question
3 December, 09:50

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

+5
Answers (1)
  1. 3 December, 09:56
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Suppose babies born in a large hospital have a mean weight of 4022 grams, and a standard deviation of 266 grams. If 53 babies are sampled ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers