Q2 The heat-producing capacities of coal from two different mines are measured in millions of caloriesper 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 7450Mine B 7720 7170 7980 7290 8360 7680 7750 8820 7660Assume the distribution of the heat-producing capacities follow normal distribution.MOUSi. Estimate the standard deviation and the average heat-producing capacities of coal from bothmines.6 UTM 6 UTM 6UTMUTM6 UTM 6 UTM 6 UTMTITM UTMOUTMOUTM2&UTMTITMUTM7520 UTMUTMTITM UTMii. Construct a 95% confidence interval for ratio of variances of the heat-producing capacities ofcoal from both mines. Based on the interval estimation obtained, is there any indication thatthe two mines have different variability of heat-producing capacity?UTM UTM UTMiii. Can we conclude from 99% confidence interval that the means of heat-producing capacitiesfor coals from both mines are different? (Use the result in part (ii) as the assumption).UTMUTM OUTMUTMUTMUTM

i) Average μ=Σxin n=no: of observations Average can be obtained from excel,…

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

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.CR: Chapter 7 Review

Problem 88CR

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Question

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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