SOLUTION: Suppose the number of friends a randomly chosen Facebook member has is normally distributed with mean 300 and standard deviation 70. A simple random sample of 50 members is take

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Question 926515: Suppose the number of friends a randomly chosen Facebook member has is normally distributed with mean 300 and standard deviation 70.
A simple random sample of 50 members is taken. Determine the probability that the sample average number of friends is fewer than 310.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the number of friends a randomly chosen Facebook member has is normally distributed with mean 300 and standard deviation 70.
A simple random sample of 50 members is taken. Determine the probability that the sample average number of friends is fewer than 310.
z(300) = (310-300)/(70/sqrt(50)) = 10/9.8999= 1.0102
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P(x-bar < 310) = P(z < 1.0102) = 0.8438
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Cheers,
Stan H.
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