Chapter 5: Problem 7
Among the data collected for the World Health Organization air quality monitoring project is a measure of suspended particles in \(\mu g / m^{3} .\) Let \(X\) and \(Y\) equal the concentration of suspended particles in \(\mu g / m^{3}\) in the city center (commercial district) for Melbourne and Houston, respectively. Using \(n=13\) observations of \(X\) and \(m=16\) observations of \(Y\), we shall test \(H_{0}: \mu_{X}=\mu_{Y}\) against \(H_{1}: \mu_{X}<\mu_{Y}\). (a) Define the test statistic and critical region, assuming that the unknown variances are equal. Let \(\alpha=0.05\). (b) If \(\bar{x}=72.9, s_{x}=25.6, \bar{y}=81.7\), and \(s_{y}=28.3\), calculate the value of the test statistic and state your conclusion.
Short Answer
Step by step solution
Key Concepts
These are the key concepts you need to understand to accurately answer the question.