A machining operation produces bearings with diameters that are normally distributed with mean 5.0005 inches and standard deviation 0.0010 inch. Specifications require the bearing diameters to lie in the interval 5.000 ± 0.0020 inches. Those outside the interval are considered scrap and must be remachined. What should the mean diameter, in inches, be in order to minimize the fraction of bearings that are scrapped?
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A machining operation produces bearings with diameters that are normally distributed with mean 5.0005 inches and...
The diameters of ball bearings are distributed normally. The mean diameter is 51 millimeters and the variance is 25. Find the probability that the diameter of a selected bearing is greater than 46 millimeters. Round your answer to four decimal places.
The diameters of ball bearings are distributed normally. The mean diameter is 99 millimeters and the standard deviation is 5 millimeters. Find the probability that the diameter of a selected bearing is greater than 109 millimeters. Round your answer to four decimal places.
The diameters of ball bearings are distributed normally. The mean diameter is 100 100 millimeters and the variance is 36 36 . Find the probability that the diameter of a selected bearing is between 88 88 and 106 106 millimeters. Round your answer to four decimal places.
A process manufactures ball bearings with diameters that are normally distributed with mean 25.15 mm and standard deviation 0.08 mm. a) A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on? (Round up the final answer to the nearest whole number.) b) To meet a certain specification, a ball bearing must have a diameter between 25.0 and 25.3 millimeters. What proportion of the ball bearings meet the specification?
(2) A process manufactures ball bearings with diameters that are normally distributed with mean 25.1 millimeters and standard deviation 0.08 millimeter. (a) To meet a certain specification, a ball bearing must have a diameter between 25.0 and 25.2 millimeters. Find the percentage of ball bearings that meet the specification. (b) Find the third quartile of the diameters.
• Men's heights are normally distributed with u = 71.2499 inches and o = 14.8530 inches • Men's weights are normally distributed with u = 168.5468 pounds and o = 40.0461 pounds • Women's heights are normally distributed with u = 63.7975 inches and o = 9.6149 inches • Women's weights are normally distributed with j = 135.7459 pounds and o = 30.9147 pounds 4. Physiology Suppose that blood chloride concentration (nmol/L) has a normal distribution with mean 104 and...
The diameters of ball bearings are distributed normally. The mean diameter is 81 millimeters and the variance is 16. Find the probability that the diameter of a selected bearing is greater than 85 millimeters. Round your answer to four decimal places Answer 2 Points Keypad If you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the...
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...
Precision manufacturing: A process manufactures ball bearings with diameters that are normally distributed with mean 25.2 millimeters and standard deviation 0.07 millimeter. Round the answers to at least four decimal places. (a) Find the 20 percentile of the diameters. (b) Find the 34th percentile of the diameters. (c) A hole is to be designed so that 1% of the ball bearings will fit through it. The bearings that fit through the hole will be melted down and remade. What should...
A) The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that the diameter of a randomly selected pencil will be between 0.21 and 0.29 inches? B) The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that the diameter of a...