4. Shafts manufactured for use in optical storage devices havediameters that are normally distributed with mean μ = 0.659cm and standard deviation o = 0.003 com. The specificationfor the shaft diameter is 0.652 ± 0.006 cm.a) What proportion of the shafts manufactured by this processmeet the specificationsb) The process mean can be adjusted through calibration. If themean is set to 0.651 cm, what proportion of the shafts willmeet specifications?c) If the mean is set to 0.651 cm, what must the standard deviationbe so that 92% of the shafts will meet specifications?

Let X denotes the shaft diameter. Given that X~N(μ=0.659,σ2=(0.003)2). Let, Z=X-0.6590.003, then…

Answered: 4. Shafts manufactured for use in…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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8. a) The mean of 6 different plots of acidic soil samples is 3.2. An extra plot with pH value 3.9 is included in the sample. What is the new mean? b) Five soil samples have a mean of 12 dS/m for soil electrical conductivity (EC). When a soil sample was removed, the mean is 11 dS/m. What is the value of the soil EC been removed? 9. Loss of calcium is a serious problem for older women. At the beginning of a study on the influence of exercise on the rate of loss, the amounts of bone mineral content in the radius bone of the dominant hand of 11 elderly women were: 0.88, 1.06, 0.90, 1.06, 0.79, 0.80, 0.85, 0.91, 0.94, 1.00, 0.72 Calculate: (a) The mean. (b) The median. (c) The mode. (d) A researcher says: "The mode seems to be the best average to represent the data in this survey." Give ONE reason to support this statement.
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To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
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6a.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 4 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the X-bar chart? O a. 145.40, 190.72 O b. 143.55, 165.47 144.77, 159.11 O d. 156.55, 170.47 O e. 142.92, 160.96 Of. None is correct US PAGE NEXT PAGE

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