**Understanding Confidence Intervals and Hypothesis Testing in Manufacturing**An avionics company has implemented a new production method for manufacturing aircraft altimeters. To evaluate this method, a random sample of new altimeters was tested, resulting in the following error values:-42, 78, -22, -72, -45, 15, 17, 51, -5, -53, -9, -109**Objective:**The goal is to determine if the new production method results in errors with a standard deviation greater than 32.2 feet, which was the standard deviation for the old production model (σ). A 5% significance level is used for this test.**Task:**Find the upper and lower boundaries of the 95% confidence interval for σ.**Multiple Choice Options:**- 98- 37- 32- 73- 89**Analysis:**To determine if the new method is better or worse than the old method, the company should calculate the 95% confidence interval for the standard deviation and compare it to the old method's standard deviation. If the interval suggests a greater deviation, further action should be considered for quality improvement.

Given data is-42,78,-22,-72,-45,15,17,51,-5,-53,-9,-109sample size(n)=12

Answered: An avionics company uses a new…

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 coin-operated drink machine was designed to discharge a mean of 7 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 9 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 6.77 fluid ounces and 0.27 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, μ, differs from 7 fluid ounces? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₁ : μ = 7 H₁ μ‡7 (b) Determine the type of test statistic to use. Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) t (d) Find the p-value. (Round to three or…

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