3 and 4

3) You measure the length of 5 radish seedlings at 7 days and 10 days and get the following results in mm (do NOT use R except for part (d)): seedling #: 1 2 3 4 5 days: 30 20 38 49 32 33.8 10.686 7 days: 35 27 46 58 34 40 12.145 difference: -5 -7 -8 -9 -2 -6.2 2.775 (a) Is there a difference in length? (b) Repeat (a), but now use a regular (unpaired) t-test. (Note: this should be one-sided. Why??) (c) What happened in (b)? (d) Verify the normal distribution assumption for the paired t-test you did in (a). (You may use R for this part). 4) Here are data on the lengths of male and female roaches (in mm). Your job is to find out if there is a difference between male and female roaches (this should be two sided - why?). males 15.4 13.9 12.7 9.6 6.6 10.7 9.9 13.3 16.2 9.0 11.4 16.6 12.2 females 16.7 16.3 12.8 16.9 15.1 12.8 18.7 18.3 8.6 13.6 15.3 16.2 13.4