Question 10 8 pts The length of a crack in a steel shaft is normally distributed with mean value 36.4 mm and standard deviation 1.0 mm. 75% of all cracks will be shorter than ______ mm. Report your answer to three (3) decimal places.
Added by Matthew M.
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To find the z-score, we can use the standard normal distribution table or a calculator. Since we want to find the value that corresponds to the 75th percentile, we need to find the z-score that corresponds to an area of 0.75 to the left of it. Using a standard Show more…
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Suppose a batch of steel rods produced at a steel plant have a mean length of 170 millimeters, and a standard deviation of 10 . If 299 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would differ from the population mean by greater than 0.7 millimeters? Round your answer to four decimal places.
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Suppose a batch of steel rods produced at a steel plant has a mean length of 170 millimeters and a standard deviation of 10 millimeters. If 299 rods are randomly sampled from the batch, what is the probability that the mean length of the sample rods would differ from the population by 0.7 millimeters? Round your answer to four decimal places.
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