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i. Estimate the standard deviation and the average heat-producing capacities of coal from both mines. UTM UTM UTM

i. Estimate the standard deviation and the average heat-producing capacities of coal from both mines. UTM UTM UTM

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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The heat-producing capacities of coal from two different mines are measured in millions of calories per ton. Eleven and nine samples of each mine were recorded as in the following table. Mine A 8520 8320 8480 7990 8500 8090 8270 7860 7750 7450 Mine B 7720 7170 7980 7290 8360 7680 7750 8820 7660 Assume the distribution of the heat-producing capacities follow normal distribution. MOUS i. Estimate the standard deviation and the average heat-producing capacities of coal from both mines. 6 UTM 6 UTM 6UTM UTM 6 UTM 6 UTM 6 UTM TITM UTM OUTMOUTM 2 &UTM TITMUTM 7520 UTM UTM TITM UTM ii. Construct a 95% confidence interval for ratio of variances of the heat-producing capacities of coal from both mines. Based on the interval estimation obtained, is there any indication that the two mines have different variability of heat-producing capacity? UTM UTM UTM iii. Can we conclude from 99% confidence interval that the means of heat-producing capacities for coals from both mines are different? (Use the result in part (ii) as the assumption). UTM UTM OUTM UTM UTM UTM
Transcribed Image Text:The heat-producing capacities of coal from two different mines are measured in millions of calories per ton. Eleven and nine samples of each mine were recorded as in the following table. Mine A 8520 8320 8480 7990 8500 8090 8270 7860 7750 7450 Mine B 7720 7170 7980 7290 8360 7680 7750 8820 7660 Assume the distribution of the heat-producing capacities follow normal distribution. MOUS i. Estimate the standard deviation and the average heat-producing capacities of coal from both mines. 6 UTM 6 UTM 6UTM UTM 6 UTM 6 UTM 6 UTM TITM UTM OUTMOUTM 2 &UTM TITMUTM 7520 UTM UTM TITM UTM ii. Construct a 95% confidence interval for ratio of variances of the heat-producing capacities of coal from both mines. Based on the interval estimation obtained, is there any indication that the two mines have different variability of heat-producing capacity? UTM UTM UTM iii. Can we conclude from 99% confidence interval that the means of heat-producing capacities for coals from both mines are different? (Use the result in part (ii) as the assumption). UTM UTM OUTM UTM UTM UTM
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