Show all work method/steps, Computations, Calculations, Explain, list any applic
ID: 2948467 • Letter: S
Question
Show all work method/steps, Computations, Calculations, Explain, list any applicable source/web applets, etc...
A study was conducted to see whether monetary incentives to use less water during times of drought had an effect on water usage. Sixty single family homeowners were randomly assigned to one of two groups: 1) monetary incentives and 2) no monetary incentives. At the end of three months, the total amount of water usage for each household, in gallons, was measured.
(a) What would be the appropriate hypothesis test to use to test the claim that monetary incentives reduce water usage?
i. t-test for two independent samples
ii. t-test for dependent samples
iii. z-test for population mean
iv. correlation
(b) Explain the rationale for your selection in (a). Specifically, why would this be the appropriate statistical approach?
Explanation / Answer
we use a two sample independent t test
we use this because
1. sample size is small 60 so z test is not used
2. the groups have different individuals so we don't measure the same individual twice and don't need dependent t test
3. corrlation measures the variance and not the mean usage.