Question

Using the database created in W1 Assignment, convert each subject's age and height into a z-score.

Using the z-score of ±1.645 for the 5 percent cutoff and the z-score of ±1.96 for the 2.5 percent in the tail, identify the subject identification (ID) number for subjects who are closest to the cutoff for the upper 2.5 percent and 5 percent of the scores and the lower 2.5 percent and 5 percent of the scores. Do this by comparing each participant’s z-score with the appropriate critical value (1.645, 1.96, -1.645, -1.96).

ID   Age   Standardize Age   Height   Standardize Height
1   20   -1.13638071814509   50   -2.148564817303
2   21   -0.60161332137093   55   -1.42756991216777
3   23   0.46792147217739   63   -0.27397806395139
4   21   -0.60161332137093   67   0.302817860156798
5   23   0.46792147217739   75   1.45640970837317
6   20   -1.13638071814509   72   1.02381276529203
7   25   1.53745626572571   74   1.31221072734613
8   21   -0.60161332137093   63   -0.27397806395139
9   23   0.46792147217739   58   -0.994972969086625
10   20   -1.13638071814509   64   -0.129779082924343
11   24   1.00268886895155   62   -0.418177044978437
12   25   1.53745626572571   59   -0.850773988059578
13   23   0.46792147217739   58   -0.994972969086625
14   26   2.07222366249987   57   -1.13917195011367
15   21   -0.60161332137093   69   0.591215822210892
16   20   -1.13638071814509   68   0.447016841183845
17   22   -0.0668459245967701   74   1.31221072734613
18   22   -0.0668459245967701   71   0.879613784264986
19   22   -0.0668459245967701   56   -1.28337093114072
20   23   0.46792147217739   59   -0.850773988059578
21   23   0.46792147217739   68   0.447016841183845
22   21   -0.60161332137093   63   -0.27397806395139
23   20   -1.13638071814509   62   -0.418177044978437
24   20   -1.13638071814509   61   -0.562376026005484
25   21   -0.60161332137093   65   0.0144198981027039
26   22   -0.0668459245967701   66   0.158618879129751
27   24   1.00268886895155   72   1.02381276529203
28   26   2.07222366249987   55   -1.42756991216777
29   25   1.53745626572571   58   -0.994972969086625
30   23   0.46792147217739   59   -0.850773988059578
31   20   -1.13638071814509   72   1.02381276529203
32   21   -0.60161332137093   73   1.16801174631908
33   21   -0.60161332137093   58   -0.994972969086625
34   20   -1.13638071814509   66   0.158618879129751
35   23   0.46792147217739   69   0.591215822210892
36   24   1.00268886895155   63   -0.27397806395139
37   25   1.53745626572571   65   0.0144198981027039
38   20   -1.13638071814509   74   1.31221072734613
39   21   -0.60161332137093   72   1.02381276529203
40   20   -1.13638071814509   81   2.32160359453546

Student IDS close to upper 5% age	Student IDS close to upper 2.5% age	Student IDS close to lower 5% age	Student IDS close to lower 2.5%       age
Student IDS close to upper 5% height	Student IDS close to upper 2.5% height	Student IDS close to lower 5% height	Student IDS close to lower 2.5% height

              

Answer 1

Answer:

Student IDS close to upper 5% age	Student IDS close to upper 2.5% age	Student IDS close to lower 5% age	Student IDS close to lower 2.5%       age
7,12,29,37	14,28	Nil	Nil
Student IDS close to upper 5% height	Student IDS close to upper 2.5% height	Student IDS close to lower 5% height	Student IDS close to lower 2.5% height
5	40	2,28	1