Question

Using Sampling Distributions to Estimate Parameters

Lexington’s City council is considering making changes to benefit bicyclist in the city. The proposed changes included widening bike lanes, adding new bike lanes, and adding a bicycle information to drivers Ed courses. The changes will cost tax payers money, so before implementing the changes they want to make sure that there is a need for the changes. In order to determine if there is a need for a change several questions were asked two of the questions are included below.

1. What percentage of accidents on roadways without a bike lane that resulted in a trip to the ER?

2. What percentage of accidents on roadways with a bike lane that resulted in a trip to the ER?

3. What is the population in this case? This population can be broken into 2 groups, what are they?

Hint: Notice the questions are not about individual bicyclist, but rather accidents.

4. What are the two parameters of interest?

Answer 1

In this case the given population can be divided into the following two groups:

(1) The group in which accidents occured with a bike lane

(2) The group in which accidents occured without a bike lane

The parameters of interest are:

(1) Percentage of accidents that occurred with bike line, and those accidents resulted in admission to Emergency Room

(2) Percentage of accidents that occurred without bike line, and those accidents resulted in admission to Emergency Room