A transportation researcher is wondering whether some parts

A transportation researcher is wondering whether some parts of the US have more anxious airline passengers than others. Using cluster sampling, he organized the country into 6 regions and sent a survey that measures anxiety levels (using 1-5 Likert-type scale questions) to 60 airline passengers in each region. Not all regions returned all surveys.

What type of statistical test should be used for analysis, and why?

Solution

First we identify the sample statistic

For that we calculate the sample mean.

2) Select a confidence level either 95% or 90% or 99% depending on the requirement

3) Find the std error of the sample and then margin of error.

4) Construct confidence interval

5) use critical value to get margin of error

6) compare the other groups means with confidence interval range

Come to conclusion.