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b) A film-coated process produces films whose thicknesses are normally distributed with a mean of 110...
A large company employs workers whose IQs are distributed normally with mean 110 and standard deviation 12.5. Management uses this information to assign employees to projects that will be challenging, but not too challenging. What percent of employees would have IQs between 100 and 130?
o uego 3. Metal plate thicknesses are normally distributed with a mean of 5.6mm and variance of 0.0576mm. Draw curves where relevant, 4 places past decimal: a) If 9 metal plates are averaged, what is the mean (E(X)) of the distribution of their average? What is the standard deviation? 63 1 5226 b) What is the probability that the average thickness is greater than 5.65mm ?
12. The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.3 inches. a) What is the probability that the average length of a steel sheet from a sample of 9 units is more than 29.95 inches long? Sketch the probability b) What is the probability that the average length of a steel sheet from a sample of 9 units is less than 29.7 inches long? Sketch the...
A manufacturer produces widgets whose lengths are normally distributed with a mean of 6.8 cm and standard deviation of 2.1 cm. A. If a widget is selected at random, what is the probability it is greater than 6.8 cm.?_____ B. What is the standard deviation of the average of samples of size 36 ?______ C. What is the probability the average of a sample of size 36 is greater than 6.8 cm?_______ Round answer to four decimal places
A manufacturer produces widgets whose lengths are normally distributed with a mean of 9.9 cm and standard deviation of 3.7 cm. A. If a widget is selected at random, what is the probability it is greater than 9.7 cm.? B. What is the standard deviation of the average of samples of size 41 ? C. What is the probability the average of a sample of size 41 is greater than 9.7 cm? Round answer to four decimal places.
A manufacturer produces widgets whose lengths are normally distributed with a mean of 17.3 cm and standard deviation of 2 cm. A. If a widget is selected at random, what is the probability it is greater than 17.4 cm.? Round to dour decimal places B. What is the standard deviation of the average of samples of size 32 ? Round answer to four decimal places C. What is the probability the average of a sample of size 32 is greater...
The fiber-spinning process currently produces a fiber whose strength is normally distributed with a mean of 75 N/m2 and a standard deviation of 8 N/m2. a. Find the probability that the strength of a randomly chosen fiber has a strength greater than 80 N/m2 b. Find the probability that the strength of a randomly chosen fiber has a strength between 71 N/m2 and 86 N/m2 c. Find the top 15% strongest fibers
A process (assumed to be normally distributed) has the process mean of 34 with a process standard deviation of 7. When the specifiction limits are [10, 48], what is the proportion of defects due to oversize? (parts being too big) (note: return numbers not percentage, for example, write 0.50, not 50 or 50%)
Weights of female cats of a certain breed are normally distributed with mean 4.3 kg and standard deviation 0.6 kg. What proportion of female cats have weights between 3.7 and 4.4 kg? How heavy is a female cat whose weight is on the 80th percentile? A female cat is chosen at random. What is the probability that she weighs more than 4.5 kg?
Company ABC claims that they produces cans whose diameters are normally distributed with a population mean of 2 inches and a population standard deviation of 0.06 inch. A customer wants to check if the mean diameter of the cans is different than 2 inches. He takes a random sample of nine samples and finds a sample mean of 1.95 inches. Use a significance level of α = 0.07 to perform a hypothesis test using p value approach. Answer key: Two...