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Social ScienceSuppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ=272 days and standard deviation σ=19 days.What is the probability that a random sample of 51 pregnancies has a mean gestation period of 265 days or less?
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What is the probability that a random sample of 51 pregnancies has a mean gestation period of 265 days or less?
Expert Answer
From the given information,
Mean (μ) =272days and standard deviation (σ) =19days
Sample size (n) =51
Let ‘X’ be a normal distribution of a random variable
Now, standard deviation for sample mean is
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n 19 51 = 2.67
Now, probability for a mean gestatio...
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265-272 х-и P(X 265)-P 2.67 х =P(Z-2.62) (from the satandard normal distribution table) P(X2650.00379 2. P(X 265 0.0038
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