A geologist is making repeated measurements (in grams) on the mass of a rock. It is not known whether the measurements are a random sample from an approximately normal population. Following are three sets of replicate measurements, listed in the order they were made. For each set of readings, state whether the assumptions necessary for the validity of the \(t\) test appear to be met. If the assumptions are not met, explain why.

a. \(213.03 \quad 212.95213 .04 \quad 213.00 \quad 212.99\)\(213.01221 .03 \quad 213.05\)

b. 213.05213 .00212 .94213 .09212 .98\(213.02 \quad 213.06 \quad 212.99\)

c. \(212.92 \quad 212.95 \quad 212.97 \quad 213.00 \quad 213.01 \quad 213.04\)213.05213 .06