ROATCE	Efficiency Ratio
16	41
11.9	45
14.3	62
18.3	44
12.8	56
14.2	56
16.4	58
20.3	39
18.1	41
12.6	46
16.8	36
15.5	47
15.5	62
14.2	51
15.4	51
14	58
10.4	59
12.7	57
12.3	51
13.9	48
5.7	54
11.9	32
10.6	52
15.4	52
15.8	65
13.2	59
13.9	59
11.4	64
7.5	74
12.3	60
12.4	61
13.1	59
9.5	84
14.9	55
14.9	50
20	73
14	63
12.1	50
11	53
9.9	59
15.3	61
12.7	58
15.9	68
11.3	57
9.4	54
14	67
6	44
15	50
20.6	76
13.7	69
13.8	46
11.8	63
14.6	57
12.8	70
8.7	74
13.4	59
19.3	55
14.6	65
10.7	62
11.7	63
13.2	61
16.2	58
13.3	62
10.7	65
11.1	66
24.4	68
11.1	66
9.2	74
10.1	69
8.2	63
8.3	60
12.3	61
8.2	74
4.9	79
11.2	61
7.6	67
4.8	60
10.2	67
11.6	69
11.7	62
8.5	68
9.6	55
5.3	61
10.6	64
10.8	64
7.7	65
-0.6	113
8.4	65
5.4	73
11.5	68
8.3	71
11.6	63
9.4	73
6.2	69
10.9	73
9.9	67
8.3	71
7.4	65
10.1	67

 

Construct a 95% confidence interval estimate of the mean ROATCE of banks with an efficiency ratio of 60% and a 95%
prediction interval of the ROATCE for a particular bank with an efficiency ratio of 60%.