Question

In: Statistics and Probability

Assume that newborn girls have birth weights with a mean of 3021 grams and a standard...

Assume that newborn girls have birth weights with a mean of 3021 grams and a standard deviation of 694 grams. A random sample of 100 newborn girls is obtained and they have a mean birth weight of 2963 grams. What is the probability of randomly selecting another 100 newborn girls and getting a mean birth weight that is 2963 grams or lower?

Solutions

Expert Solution

Solution :

Given that,

mean = = 3021

standard deviation = =694

n = 100

=3021

= / $\sqrt$ n = 694 $\sqrt$ 100 = 69.4

P( < 2963 )

P ( - / ) < ( 2963- 3021 / 69.4)

P ( z < -58 / 69.4 )

P ( z < -0.83)

= 0.2033

Probability = 0.2033

orchestra answered 1 year ago

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