A CNC (computer numerical control) machine produces iron automobile crankshafts. Samples are measured and the inner diameterare found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 centimeters. For all computations, assume an approximately normaldistribution. The sample mean and standard deviation for the given data are = 1.0056, and s =0.0246.Find a 99% confidence interval on the mean of diameter. Compute a 99% prediction interval on a measured diameter of a singlecrankshaft piece taken from the machine. Find the 99% tolerance limits that will contain most of the metal pieces produced by the CNC machine.O a. CI on the mean: 0.9781 <µ <1.0331. Prediction Interval: 0.9186 s Xp+151.0926. Tolerance Interval (0.8937 and 1.1175)O b. Insufficient data to compute. Missing the sample size nOc CIon the mean: 0.9781 <µ<1.0331. Prediction Interval: 0.9186 s Xp+151.0926. Tolerance Interval (0.8937 and 1.1175). Insufficient data to computefor the Tolerance IntervalOd. CI on the mean: 0.970 < µ < 1.9845. Prediction Interval: 0.9186 s Xn+1$1.0926. Tolerance Interval (0.8937 and 1.1175)

sample mean 'x̄= 1.0056 sample size n= 9 std deviation s= 0.0246 std error…

Answered: Find a 99% confidence interval on the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36. The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40. The margin of error of the population proportion is found using half the range. What is the interval estimate of the true population proportion? (0.20, 0.52) (0.24, 0.48) o (0.22, 0.50) (0.30, 0.42)
To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average penetration of x = 52.7 and a sample standard deviation of s = 4.9. The conduits were manufactured with the specification that true average penetration be at most 50 mils. They will be used unless it can be demonstrated conclusively that the specification has not been met. What would you conclude? (Use a = 0.05.) State the appropriate null and alternative hypotheses. Ho: u + 50 Haiu > 50 O Ho: µ = 50 H: µ > 50 Ho:H > 50 H: u = 50 Ho:u = 50 HaiH# 50 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence to conclude that the true…
To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average penetration of x = 52.6 and a sample standard deviation of s = 4.2. The conduits were manufactured with the specification that true average penetration be at most 50 mils. They will be used unless it can be %3D demonstrated conclusively that the specification has not been met. What would you conclude? (Use a = 0.05.) State the appropriate null and alternative hypotheses. O Ho: H = 50 Ha: H > 50 O Ho: H = 50 Н: и# 50 О Н: и + 50 Ha: H > 50 O Ho: u > 50 H: H = 50 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. O Do not reject the null hypothesis. There is sufficient evidence to conclude that…
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 766 hours. A random sample of 30 light bulbs has a mean life of 754 hours. Assume the population is normally distributed and the population standard deviation is 61 hours. At α=0.08, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). Identify the critical value(s). Use technology. Identify the standardized test statistic. Use technology. (d) Decide whether to reject or fail to reject the null hypothesis, and(e) interpret the decision in the context of the original claim.
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To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average penetration of x = 53.1 and a sample standard deviation of s = 4.2. The conduits were manufactured with the specification that true average penetration be at most 50 mils. They will be used unless it can be demonstrated conclusively that the specification has not been met. What would you conclude? (Use a = 0.05.) State the appropriate null and alternative hypotheses. O Ho: H = 50 H: H + 50 O Ho: H = 50 H: u > 50 O Ho: u > 50 H: H = 50 O Ho: 4 + 50 HạiH > 50 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value =
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If needed do not use a P value to answer any problem. No credit will be given if a P value is used. Use only criticalvalues.
A type of casting iron has Hall-Petch parameters: σ0 = 36.3 MPa and K = 6.5 MPa ∙ mm^−0.5. For a given sample, the grain size distribution is shown in the diagram below. Each bar represents the percentage of grains in particular size. First, estimate the average grain size based on concept of “weighted mean” (in case you do not know, search for this term). Then, apply Hall-Petch Equation to calculate the yield stress. (Note: 1 μm = 0.001 mm)

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