Estimate the standard deviation and the average heat-producing capacities of coal from both mines.
Estimate the standard deviation and the average heat-producing capacities of coal from both mines.
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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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 7520
Mine B 7720 7170 7980 7290 8360 7680 7750 8820 7660
Assume the distribution of the heat-producing capacities follow normal distribution N
i. Estimate the standard deviation and the average heat-producing capacities of coal from both
mines.

Transcribed Image Text: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
Uthe two mines have different variability of heat-producing capacity?
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 6
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