Modern software applications require rapid data access capabilities. An experiment was conducted to test the effect of data file size on the ability to access the files (as measured by read time, in milliseconds). Three different levels of data file size were considered: small - 50,000 characters, medium-75,000 characters, large-100,000 characters. A sample of eight files of each size was evaluated.
Question: At the 5% level of significance, is there evidence of a difference among the mean access read times for the three files sizes?
Data: Small Medium Large
2.05 2.24 2.08
2.04 2.21 2.34
2.21 2.23 2.33
2.12 2.09 2.24
2.32 2.52 2.71
2.31 2.62 2.73
2.48 2.57 2.9
2.42 2.61 2.72