Please explain why for each problem

10 points) For each statement, state whether it is true or false. If it is false, explain briefly why it s false. (a) To compare two treatments, a paired design is more effective than an unpaired design. (b) In a randomized block design, the number of treatments must be equal to or less than the number of blocks. (c) We can use the half-normal plot to assess the significance of factorial effects whenever we do not have an estimate of variance o?. (d) For a resolution III design, all main effects are aliased with one or more two-factor interactions