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 the bearings?
To determine whether a metal lathe that produces machine bearings is properly adjusted, a random sample...
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?
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)...
In a factory, a machine produces cylindrical metal pieces. A random sample of the pieces yields diameters 1.01,0.97, 1.03, 1.04,0.99, 0.98,0.99, 1.04, 1.03, 1.01. Determine a 99% confidence interval for the mean diameter. You may assume the diameters are normally distributed. A. (0.989, 1.022) B. 10.983, 1.035] C. 10.991, 1.034] D. 0.987, 0.024 E none of the above
A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 1.01, 0.97, 0.95, 1.04, 0.97, 0.98, 1.03, 1.01, and 1.06 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution. The confidence interval is ___<mu<___ (Round to three decimal places as needed.)
Consider a machine that produces metal pieces which are cylindrical in shape. We select a sample of nine pieces and measure the diameters: 1.01; 0.97; 1.03; 1.04; 0.99; 0.98; 0.99; 1.01; 1.03 The sample and sample standard deviation are x̄ = 1.00556 and s = 0.02455, respectively. Give a 95% confidence interval for the true mean diameter, assume that the population is normal.
Ball-Bearings, Inc. produces ball bearings automatically on a Kronar BBX machine. For one of the ball bearings, the mean diameter is set at 20.00 mm (millimetres). The standard deviation of the production over a long period of time was computed to be 0.150 mm. What percent of the ball bearings will have diameters 20.27 mm or more?
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...
Consider a machine that produces metal pieces which are cylindrical in shape. We select a sample of nine pieces and measure the diameters: 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, 1.03 The sample and sample standard deviation are T = 1.00556 and s = 0.02455, respec- tively. Give a 95% confidence interval for the true mean diameter, assume that the population is normal. A. (0.989,1.022] B. (0.978,1.033] C. (0.991,1.034] D. (0.987,1.024] E. none of the preceding
Please, i need clear answer for this statistics question Problem 6 A machine produces metal pieces that are cylindrical in shape. A sample of these pieces is taken and the diameters are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01 and 1.03 centimeters. The sample mean and standard deviation for the given data are i-1.0056 and s = 0.0246. Assume normality. (a) Find a 99% confidence interval on the mean diameter (b) Compute a 99% prediction interval...
The diameters of ball bearings made by a machine follow a normal distribution. Ball bearings that are too large or too small are undesirable since they will not work properly. The manager wants to see if the machine is producing ball bearings that are significantly different from .35 inches. To make sure the machine is working properly, we take a random sample of 25 ball bearings and find that the sample mean diameter is .34 inches. Assume the population standard...