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1. A casting company has several ovens in which they heat the raw materials prior to pouring them into a wax mold. It is very important that these metals be heated to a precise temperature with very little variation. Three ovens are selected at random, and their temperatures are recorded (°C) very accurately on 10 successive heats. The collected data are as follows: Temperature ("C) Oven-2 1669.16 1673.08 1672.75 Oven-3 Oven-1 1670.87 1670.88 1669.60 1671.51 1669.76 1675.14 1672.01 1669.18 1674.94 1669.63 1671.92 1671.33 1670.95 1669.69 1660.38 1668.70 1671.86 1669.45 1679.94 1669.35 1660.51 1669.12 1671.89 1668.78 1672.52 1673.45 1664.32 a. Is there significant evidence (a= 0.05) that the three ovens have different levels of variation in their temperatures ? b. Assess the order of magnitude in the differences in standard deviations by placing 95% confidence intervals on the ratios of the three pairs of standard deviations . c. Do the conditions that are required by your statistical procedures in parts (a) and (b) appear to be valid ?

1. A casting company has several ovens in which they heat the raw materials prior to pouring them into a wax mold. It is very important that these metals be heated to a precise temperature with very little variation. Three ovens are selected at random, and their temperatures are recorded (°C) very accurately on 10 successive heats. The collected data are as follows: Temperature ("C) Oven-2 1669.16 1673.08 1672.75 Oven-3 Oven-1 1670.87 1670.88 1669.60 1671.51 1669.76 1675.14 1672.01 1669.18 1674.94 1669.63 1671.92 1671.33 1670.95 1669.69 1660.38 1668.70 1671.86 1669.45 1679.94 1669.35 1660.51 1669.12 1671.89 1668.78 1672.52 1673.45 1664.32 a. Is there significant evidence (a= 0.05) that the three ovens have different levels of variation in their temperatures ? b. Assess the order of magnitude in the differences in standard deviations by placing 95% confidence intervals on the ratios of the three pairs of standard deviations . c. Do the conditions that are required by your statistical procedures in parts (a) and (b) appear to be valid ?

MATLAB: An Introduction with Applications
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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1. A casting company has several ovens in which they heat the raw materials prior to pouring them into a wax mold. It is very important that these metals be heated to a precise temperature with very little variation. Three ovens are selected at random, and their temperatures are recorded (°C) very accurately on 10 successive heats. The collected data are as follows: Temperature ("C) Oven-2 1669.16 1673.08 1672.75 Oven-3 Oven-1 1670.87 1670.88 1669.60 1671.51 1669.76 1675.14 1672.01 1669.18 1674.94 1669.63 1671.92 1671.33 1670.95 1669.69 1660.38 1668.70 1671.86 1669.45 1679.94 1669.35 1660.51 1669.12 1671.89 1668.78 1672.52 1673.45 1664.32 a. Is there significant evidence (a= 0.05) that the three ovens have different levels of variation in their temperatures ? b. Assess the order of magnitude in the differences in standard deviations by placing 95% confidence intervals on the ratios of the three pairs of standard deviations . c. Do the conditions that are required by your statistical procedures in parts (a) and (b) appear to be valid ?
Transcribed Image Text:1. A casting company has several ovens in which they heat the raw materials prior to pouring them into a wax mold. It is very important that these metals be heated to a precise temperature with very little variation. Three ovens are selected at random, and their temperatures are recorded (°C) very accurately on 10 successive heats. The collected data are as follows: Temperature ("C) Oven-2 1669.16 1673.08 1672.75 Oven-3 Oven-1 1670.87 1670.88 1669.60 1671.51 1669.76 1675.14 1672.01 1669.18 1674.94 1669.63 1671.92 1671.33 1670.95 1669.69 1660.38 1668.70 1671.86 1669.45 1679.94 1669.35 1660.51 1669.12 1671.89 1668.78 1672.52 1673.45 1664.32 a. Is there significant evidence (a= 0.05) that the three ovens have different levels of variation in their temperatures ? b. Assess the order of magnitude in the differences in standard deviations by placing 95% confidence intervals on the ratios of the three pairs of standard deviations . c. Do the conditions that are required by your statistical procedures in parts (a) and (b) appear to be valid ?
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