### Tire Quality Control Confidence Interval CalculationA tire manufacturer aims to ensure consistent quality in tire production to minimize the variability in tire mileage. The quality control team uses a 90% confidence interval of the variance, testing a sample of 12 tires to monitor this consistency. Based on this context, please calculate the following:1. **Lower Critical Value Calculation:** - Determine the lower critical value using the chi-squared table provided in class. - Round your final answer to the nearest tenth.2. **Upper Critical Value Calculation:** - Determine the upper critical value using the chi-squared table provided in class. - Round your final answer to the nearest tenth.For both calculations, ensure to apply the appropriate degrees of freedom for the data set.

Solution : Given that, confidence level=90% 1-α=0.90α=0.10 n=12 now degrees of freedom df=n-1…

Answered: A tire manufacturer wants to ensure…

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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You are interested in estimating the the mean weight of the local adult population of female white-tailed deer (doe). From past data, you estimate that the standard deviation of all adult female white-tailed deer in this region to be 29 pounds. What sample size would you need to in order to estimate the mean weight of all female white-tailed deer, with a 96% confidence level, to within 8 pounds of the actual weight? (Use Excel to find the appropriate critical value and round to 3 decimal places.)Sample Size:
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Part Variability is critical in the manufacturing of the ball bearings. Large variances in the size of the ball bearings cause bearing failure and rapid wear out. Production standards call for a maximum variance of .0001 when the bearing sizes are measured in inches. A sample of 15 bearings shows a sample standard deviation of .014. a. Compute the 90% confidence interval estimate of the variance of the ball bearings in the population. b. Use a= 0.10 to determine whether the sample indicates that the maximum acceptable variance is being exceeded. Use critical value approach. ( Note: You must state null and alternative hypotheses, compute the test statistic, Report the critical Value, and draw a conclusion.
You want to estimate the mean weight of quarters in circulation. A sample of 50 quarters has a mean weight of 5.658 grams and a standard deviation of 0.064 gram. Use a single value to estimate the mean weight of all quarters. Also, find the 95% confidence interval for the average weight of all quarters. grams. The estimate for the mean weight of all quarters is (Round to three decimal places as needed.) Find the 95% confidence interval for the mean weight of all quarters. grams<μ< grams (Round to three decimal places as needed.)
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