Question

An experiment was performed to compare two (2) types of radiation meters to determine if they provide
equivalent readings. Four (4) objects of different materials, temperatures, and sizes were used in the experiment, and
radiation readings were taken with each of the meters (one reading for each meter-object combination). The resulting
sums of squares are shown in the table below. Consider the null hypothesis that the two meters provide essentially the
same readings. With alpha = 0.01, would you accept or reject the null hypothesis? If you accept it, consider
alpha = 0.05.

Source SS
Meter 3.574
Object 14.308
Error 2.935
Total 20.817

Answer 1

Here, we are testing whether the two meters provide essentially the same readings.
Hence, : mean reading of the two meters are same vs. : mean reading of the two meters are not the same.



If alpha = 0.05, then we would reject H0, because the p-value is lower than 0.05.