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# Methods to Use Less Water

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Consider two methods for achieving less water use in a community. The first method includes trying to convince people to apply water conservation measures and to use less water at current prices. The second method involves driving up the price of water. Discuss the merits of both approaches. Which one do you think would be more effective? Why?

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1 - We try to convince our population to use less water and the water prices remain the same.
2 - We increase the price of water.

Both approaches definitely have merits. In the first case, we are asking people to act ethically and to be conservative. Many people will likely listen to this. We're keeping prices the same and not increasing prices so that no one will be burdened with excessive personal costs due to the ...

#### Solution Summary

Consider two methods for achieving less water use in a community. The first method includes trying to convince people to apply water conservation measures and to use less water at current prices. The second method involves driving up the price of water. Discuss the merits of both approaches. Which one do you think would be more effective? Why?

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## Molar Heat of Fusion of Water; Difference in Diesel Truck Fuel

Exercise 1

Two methods for measuring the molar heat of fusion of water are being compared. Ten measurements made by method A have a mean of 6.02 kilojoules per mole (kJ/mol) with a standard deviation of 0.02 (kJ/mol). Five measurements made by method B have a mean of 6.00 kJ/mol and a standard deviation of 0.01 kJ/mol.

a) Can you conclude that the mean measurements differ between the two methods? Carry out the appropriate hypothesis test.
b) Verify your result in part (a) using the appropriate confidence interval.
c) Assuming the population variances were equal, can you conclude that the mean measurements from Method A exceed that of Method B by more than .001 kJ/mol? Carry out the appropriate hypothesis test.
d) Find a 99.8% two sided confidence interval based on the knowledge of "equal variances".

Exercise 2

A sample of 10 diesel trucks were run both hot and cold to estimate the difference in fuel economy. The results, in mi/gal, are presented in the following table. (From "in-sue Emissions from Heavy-Duty Diesel Vehicles," J. Yanowitz, Ph.D. thesis, Colorado School of Mines, 2001.)
_________________________________
Truck Hot Cold
1 4.56 4.26
2 4.46 4.08
3 6.49 5.83
4 5.37 4.96
5 6.25 5.87
6 5.90 5.32
7 4.12 3.92
8 3.85 3.69
9 4.15 3.74
10 4.69 4.19

a) Can you conclude that the mean fuel mileage of Cold engines is less than that of the hot engines? Carry out the appropriate hypothesis test.

b) Find a 98% confidence interval for the difference in mean fuel mileage between hot and cold engines.

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