A feed supply developed a special feed supplement to see if it will promote weight gain in livestock. The researchers report that the 57 cows studied gained an average of 50 pounds with a std. dev. 8 pounds. What’s the probability that a random sample of 33 cows result in a mean weight gain of more than 59 pounds?
From the given information,
We have to find
P(Xbar>59)
Now distribution of Xbar is normal with
Mean=50
SD=8/sqrt(33)=1.3926
Hence
Required probability is
P(Z>((59-50)/1.3926)
=P(Z>6.4627)
=0
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