Refer to the data set pit.csv. Consider depths of pits at all durations at \(40 \%\) relative humidity. The question is whether the mean depth differs among the durations.

a. Construct an ANOVA table. You may give a range for the \(P\)-value.

b. Can you conclude that there are differences among the mean depths?

Pit Data Set:

In an experiment to measure corrosion in stainless steel, several pieces of stainless steel were exposed to salt particles for various lengths of time, at relative humidities of \(40 \%\) and \(75 \%\). The exposure caused pits to form. After exposure, the depths of the pits were measured, and those greater than \(10 \mu \mathrm{m}\) were reported.
Each row of the data set represents one pit. Variables are the depth of the pit, the duration of exposure, and the relative humidity. Following is a list of the variables in this data set:

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Duration Humidity Depth Duration of exposure (in weeks) Humidity (in %) Depth of pit (in m)