To determine whether a metal lathe that produces machine bearings is properly adjusted, a sample of 36 bearings is collected and the diameter of each is measured. Assume the standard deviation of the diameter of the machine bearing is stable and equal to 0.001 inch. What is the probability that the mean diameter "x bar" of the sample will lie within 0.0001 inch of the process mean?
To determine whether a metal lathe that produces machine bearings is properly adjusted, a sample of 36 bearings is collected and the diameter of each is measured. Assume the standard deviation of the...
To determine whether a metal lathe that produces machine bearings is properly adjusted, a random sample of 36 bearings is collected and the diameter of each is measured. If the standard deviation of the diameters of the bearings measured over a long period of time is 0.001 inch, what is the approximate probability that the mean diameter of the sample of 36 bearings will fall between (mu- 0.0001) and (mu + 0.0001) inch where mu is the population mean diameter of...
An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.73 inch. The lower and upper specification limits under which the ball bearing can operate are 0.72 inch (lower) and 0.74 inch (upper). Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.732 inch and a standard deviation of 0.006 inch. Suppose a random sample of 21 ball bearings are selected. Complete parts (a)...
A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is 0.600 in. A bearing is acceptable if its diameter is within 0.004 in. of this target value. Suppose, however, that the setting has changed during the course of production, so that the distribution of the diameters produced is well approximated by a normal distribution with mean 0.599 in. and standard deviation 0.002 in. What percentage of the bearings...
Lazarus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of the rods are normally distributed, and they vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. The standard deviation of the lengths of all rods produced on this machine is always equal to .035 inch. The...
A machine produces ball bearings with diameters that have a normal distribution with known standard deviation of 0.04 centimeters. Ball bearings with diameters that are too small or too large are undesirable. The machine is out of calibration if the machine's average output differs from 0.50 cm. Assume that a technician randomly samples 25 bearings which had a mean diameter of 0.51 centimeters. The technician wants to perform a hypothesis test to determine whether the machine is out of calibration....
9.29 Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of the rods are approximately normally distributed and vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. The standard deviation of the lengths of all rods produced on this machine is always equal to.035 inch. The...
1. A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is selected, and the diameter is measured. The resulting data (in millimeters) are as follows: 11.44 11.39 11.35 11.38 11.45 11.4311.4211.44 11.34 11.39 11.46 11.36 11.44 11.49 11.41 a) Use a Normal Probability Plot to check the assumption of normality for rod diameter. b) Is it believable the mean rod diameter is less than 1 1.50 mm? Construct the appropriate 99% confidence...
The certain paper suggested that a normal distribution with mean 3,500 grams and standard deviation 590 grams is a reasonable model for birth weights of babies born in Canada. (Use a table or technology.) (a) One common medical definition of a large baby is any baby that weighs more than 4,000 grams at birth. What is the probability that a randomly selected Canadian baby is a large baby? (Round your answer to four decimal places.) (b) What is the probability...
A steel factory produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of these rods vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. According to design, the standard deviation of the lengths of all rods produced on this machine is always equal to .05 inches. The quality control...
A steel factory produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of these rods vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. According to design, the standard deviation of the lengths of all rods produced on this machine is always equal to .05 inches. The quality control...