Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1 and a mean diameter of 201 inches. If 8585 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 201.3 inches? Round your answer to four decimal places.
Added by Kathy C.
Step 1
- Population mean, \(\mu = 201\) inches - Population standard deviation, \(\sigma = 1\) inch - Sample size, \(n = 8585\) - We want \(P(\bar{X} < 201.3)\), where \(\bar{X}\) is the sample mean. Show more…
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