In a factory, a machine produces cylindrical metal pieces. A random sample of the pieces yields...
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, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 centimeters. a. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution. b. Find a 99% prediction interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution.
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.
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...
1. The numbers of incorrect answers on a true false competency test for a random sample of 15 students were recorded as follows: 2, 1,3,0, 1, 3, 6, 0,3,3,5, 2, 1, 4, and 2. Find (a) the mean; (b) the median; (c) the mode. 2. The grade-point averages of 20 college seniors selected at random from a graduating class are as follows: 3.2 1.9 2.7 2.4 2.8 2.9 3.8 3.0 2.5 3.3 1.8 2.5 3.7 2.8 2.0 3.2 2.3 2.1...
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...
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 (in millimeters). Diameter 8.24 8.21 8.23 8.25 8.26 8.23 8.2 8.26 8.19 8.23 8.2 8.28 8.24 8.25 8.24 Using RStudio, find and interpret a 95% confidence interval (CI) for the true mean diameter (in millimeters) of metal rods used in an automobile suspension system. Label the parameter: (4 points) Propose an appropriate confidence interval. Explain!...
3. A machine produces metal rods used in an automobile suspension system. A random sample of 12 rods is selected and the diameter is measured. The resulting data in mm, are shown here: 8.23 8.29 8.19 8.14 8.31 8.19 8.29 8.32 8.42 8.24 8.30 8.40 Find a two-sided 95% confidence interval for the mean rod diameter. State the assumption necessary to find the confidence interval. (5 marks) Is there any evidence to indicate that mean rod diameter exceeds 8.20 mm...
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...