A fitness company needs to test some new hand-strengthening equipment, and compare the effectiveness for left and right hands. They need to select 100 volunteers from a gym membership list of 9,876 members.

a. If they use the random number table, how many digits will they need to use to represent the members?

b. If they use the random number table on page 534 of this section and start on line 16, what are the numbers of the first five gym members who will be selected?

c. One of the company executives suggests doing a completely randomized design, with a randomly selected group of left-handed people in one group and a randomly selected group of right-handed people in another group. Another executive disagrees, and wants to have each subject do the test with their left and right hands. Which design do you think is better? Why?