Facts About the F Distribution · Try It 1

There are multiple variants of the virus that causes COVID-19. The length of hospital stays for patients afflicted with various strains of COVID-19 is shown in.

$$\begin{array}{ccccc}\text{Delta Strain}& \text{Omicron Strain}& \text{Alpha Strain}& \text{Gamma Strain}& \text{Beta Strain}\\ \text{13.9}& \text{11.7}& \text{18.2}& \text{16.9}& \text{9.3}\\ \text{14.9}& \text{15.1}& \text{14.6}& \text{12.8}& \text{15.8}\\ \text{16.8}& \text{9.9}& \text{10.1}& \text{11.2}& \text{16.4}\end{array}$$
Test whether the mean length of hospital stay is the same or different for the various strains of COVID-19. Construct the ANOVA table, find the p-value, and state your conclusion. Use a 5% significance level.

OpenStax, Introductory Statistics 2e · §13.3 Facts About the F Distribution · Try It 1