Suppose the horses in a large stable have a mean weight of 1128lbs, and a standard deviation of 58lbs.
What is the probability that the mean weight of the sample of horses would be less than 1136lbs if 37 horses are sampled at random from the stable? Round your answer to four decimal places.
solution
mean = = 1128
standard deviation = = 58
n = 37
= 1128
= / n = 58 / 37=9.5351
P( <1136 ) = P[( - ) / < (1136 -1128) /9.5351 ]
= P(z < 0.84)
Using z table
= 0.7995
probability=0.7995
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