1. Do flexible schedules reduce the demand for resources? The Lake County, IL He
ID: 3309710 • Letter: 1
Question
1. Do flexible schedules reduce the demand for resources? The Lake County, IL Health epartment experimented with a flexible four-day work week. For a year, the department recorded the mileage driven by 11 filed workers on an ordinary five-day work week. Then it changed to a flexible four-day work week and recorded mileage for another year. Here is the data. The researchers want to know if the total mileage changed going form a 5 - day schedule to a 4 - day schedule. Name Jeff Betty Roger Tom Aimee Greg Larry G Tad Larry M. Leslie Lee 5 - Day Mileage 2798 7724 7505 838 4592 8107 1228 8718 1097 8089 3807 4- Day Mileage 2914 6112 6177 1102 3281 4997 1695 6606 1063 6392 3362 State a null and alternative hypothesis to determine if a difference exists between two different schedules for a parametric and a nonparametric test. a)
Explanation / Answer
Answer:
Here we have two columns of data, which have been recorded on the same person. In other words, we have two set of treatments used on the same person. This type of data is called paired sample.
So in a parametric setting where we have knowledge about the parameters like distribution, mean and variance of the population, we will use paired sample t-test.
In a non-parametric setting where we have no knowledge about the population, mean and variance of the data we will use non-parametric test, namely Wilcoxon Signed Rank test.
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