The heat-producing capacities of coal from two different mines are measured in millions of calories per ton. Eleven and

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The heat-producing capacities of coal from two different mines are measured in millions of calories per ton. Eleven and

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The Heat Producing Capacities Of Coal From Two Different Mines Are Measured In Millions Of Calories Per Ton Eleven And 1
The Heat Producing Capacities Of Coal From Two Different Mines Are Measured In Millions Of Calories Per Ton Eleven And 1 (152.73 KiB) Viewed 39 times
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.  -  Assume the distribution of the heat-producing capacities follow normal distribution. i. Estimate the standard deviation and the average heat-producing capacities of coal from both mines. (2 marks) 5 SSCE 2193 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? (6 marks) 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). (7 marks)
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