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  3. 6. enthalpy is a measure of total energy in a ther

6. Enthalpy is a measure of total energy in a thermodynamic system. The following table presents...

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Statistics

6. Enthalpy is a measure of total energy in a thermodynamicsystem. The following table presents enthalpy measurements on 16water based systems. Four measurements are made on each of foursystems which differ by concentration of NaCl (table salt).

Concentration (%)

Enthalpy

5

1.62

1.60

1.62

1.66

10

2.69

2.66

2.72

2.73

20

3.56

3.45

3.65

3.52

30

3.35

3.18

3.40

3.06

  1. What pairs of concentrations, if any, can you conclude to havediffering enthalpies? Use α = 0.05.

  

5-10

-1.07

10-5

1.07

20-5

1.92

30-5

1.62

5-20

-1.92

10-20

-0.85

20-10

0.85

30-20

0.55

5-30

-1.62

10-30

-0.55

20-30

0.30

30-10

-0.30

All concentrations are significant atthe 0.05 level. WHY?

  1. Compute the quantity s = (MSE)0.5, the estimate ofthe standard deviation σ.
  1. Assuming s to be the error standard deviation, find the samplesize necessary in each treatment to provide a power of 0.80 todetect a maximum difference of 0.1 in the treatment means at the 5%level.

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