A random sample of size n = 78 is taken from a population with mean ? = ?14.8 an
ID: 3434598 • Letter: A
Question
A random sample of size n = 78 is taken from a population with mean ? = ?14.8 and standard deviation ? = 3.
What is the probability that the sample mean falls between ?15 and ?14? (Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
A random sample of size n = 78 is taken from a population with mean ? = ?14.8 and standard deviation ? = 3.
What is the probability that the sample mean falls between ?15 and ?14? (Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
Explanation / Answer
So the probability that the sample mean falls between ?15 and ?14 is
P(-15<xbar<-14)
= P((-15+14.8)/(3/sqrt(78)) <(xbar-mean)/(s/vn) <(-14+14.8)/(3/sqrt(78)))
=P(-0.59<Z<2.36) =0.7133 (from standard normal table)
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