1.- When examining the service and technical support of the vendors for personal computers, PC Magazine published an average of 16.5 minutes of wait when calling Gateway compared to 14.1 minutes in calls to IBM. Suppose that the data in the pcmagazine file contains the wait times for calls to the two companies. Use a one-tailed test and a significance level of 0.05 to analyze whether the mean wait time for technical support at Gateway might be longer than at IBM. Determine and interpret the p-value for the test.

Pcmagazine file information:

Gateway	IBM
14.5	16.7
23.3	19.5
8.0	11.5
18.0	10.8
16.4	13.0
12.3	8.1
19.7	14.6
16.4	10.2
18.4	18.1
18.2	10.5
7.7	14.5
15.3	23.3
28.8	5.3
14.2	8.7
17.1	6.6
15.9	17.0
13.3	12.7
17.8	23.0
21.5	21.0
12.6	10.5
12.3	15.0
16.1	19.8
10.9	13.1
19.0	6.3
24.9	20.6
10.5	11.8
15.1	11.4
11.6	15.7
21.1	18.4
24.1	15.3

2.- When planning the processes to be incorporated into a new manufacturing facility, engineers have proposed two possible assembly procedures for one of the phases in the production sequence. Sixty temporary workers on the production line have taken part in the preliminary tests, and the data represents the productivity (units produced in an hour) of 30 workers using procedure A and 30 using e! procedure B, respectively. Given the data in the productivity file, use a significance level of 0.10 to determine whether the two procedures can be equally effective. Identify and interpret the p-value for the test, and then construct and interpret the 90% confidence interval for the difference between the population means.

Productivity file information:

Productivity A	Productivity B
78	73
70	72
83	71
79	74
75	78
70	75
81	74
73	76
78	71
76	80
71	73
75	82
71	73
76	76
83	81
80	78
74	76
89	80
77	74
77	79
81	72
75	76
81	77
70	76
74	75
78	79
74	81
79	73
77	70
73	77

3.- A study was conducted to examine the effectiveness of a new experimental program to prepare high school students for the Academic Aptitude Test. The 80 students were randomly divided into two groups of 40. Test scores for those who participated in the new program and those who followed the conventional program are in the program file. Use a one-tailed test and the 0.025 significance level to analyze whether the experimental program can be better than the conventional method in preparing students for the exam. Determine and interpret the p-value of the test.

Program file information:

New Program	Previous program
1246	927
845	1028
1024	1079
1238	927
913	958
1123	1074
1074	1026
970	966
952	1039
966	949
1091	845
1122	981
1007	929
1091	939
1243	1145
1075	1007
1107	1046
932	923
1124	926
931	1144
894	1042
850	1183
1097	1028
1030	945
770	1001
1103	1087
1333	963
1016	1063
834	1049
1040	1155
1159	1163
950	981
1286	1014
1065	1001
1159	1005
1077	937
987	1081
1094	877
858	1037
968	1029