The processing of raw coal involves “washing,” in which coal ash (nonorganic, incombustible material) is removed. The article “Quantifying Sampling Precision for Coal Ash Using Gy’s Discrete Model of the Fundamental Error” (Journal of Coal Quality, 1989:33–39) provides data relating the percentage of ash to the volume of a coal particle. The average percentage of ash for six volumes of coal particles was measured. The data are as follows: Volume (cm3) 0.01 0.06 0.58 2.24 15.55 276.02 Percent ash 3.32 4.05 5.69 7.06 8.17 9.36 Using the most appropriate model, construct a 95% confidence interval for the mean percent ash for particles with a volume of 50 cm3. Round the answers to three decimal places. The 95% confidence interval is , .

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The processing of raw coal involves “washing,” in which coal ash (nonorganic, incombustible material) is removed. The article “Quantifying Sampling Precision for Coal Ash Using Gy’s Discrete Model of the Fundamental Error” (Journal of Coal Quality, 1989:33–39) provides data relating the percentage of ash to the volume of a coal particle.

The average percentage of ash for six volumes of coal particles was measured. The data are as follows:

Volume (cm3) 0.01 0.06 0.58 2.24 15.55 276.02
Percent ash 3.32 4.05 5.69 7.06 8.17 9.36

 

 

Using the most appropriate model, construct a 95% confidence interval for the mean percent ash for particles with a volume of 50 cm3. Round the answers to three decimal places.

 

The 95% confidence interval is  ,  .

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