mean=101 Std Dev=10 What is the probability that a random sample of 29 pregnancies has a...

mean=101

Std Dev=10

What is the probability that a random sample of 29 pregnancies has a mean gestation period of 97 days or less?

The probability that the mean of a a random sample of 29 pregnancies is less than 97 days is approximately.

Please show formula and work that is easy to understand, thank you!

Solutions

Expert Solution

Solution :

Given that,

mean = = 101

standard deviation = = 10

n = 29

= 101

= / n = 10/ 29=1.86

P( < 97) = P[( - ) / < (97-101) /1.86 ]

= P(z < -2.15)

Using z table

=0.0158

probability=0.0158

orchestra answered 1 year ago

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