Wk8
Complete the problems below from the textbook. You will need to use the “Lincolnville School District Bus Data” file for this assignment. The file is located in the topic materials.
- Chapter 12 – Problem 51
- Chapter 15 – Problem 57
- Chapter 15 – Problem 64
For problems requiring computations, please ensure that your Excel file includes the associated cell computations and/or statistics output. This information is needed in order to receive full credit on these problems.
Submit output in one Excel file.
>ChartDataSheet_
/2 /2 1 :0 .3 1
3 827 1
.5
2 851.5 2 806 2 741 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 741 2 851.5 741 1 Miles 1 6
5 75
973
0 14 2 1 10 2 Bluebird 0 55 1008 2 Bluebird 1 55 5 65
Bluebird 0 55 10 Keiser 0 55 8 Bluebird 0 42 7 3
Bluebird 0 55 9 Bluebird 0 55 10 Bluebird 0 55 10 Bluebird 0 55 4 Bluebird 0 55 6 6 Keiser 0 55 6 Keiser 1 55 3
3 Bluebird 0 55 9
3 8 Bluebird 0 55 8 3 11698 9 Keiser 0 55 7 Keiser 1 6 3 9 8 4 6 Bluebird 1 55 9 6 Keiser 1 55 9 Keiser 0 55 9 5
Bluebird 0 55 1 9
Bluebird 0 42 6 Keiser 0 42 8 9 Keiser 1 55 9 11 Bluebird 0 55 9 7 Bluebird 0 42 6 9 6
7 Thompson 0 14 8 Thompson 1 14 8 Bluebird 0 55 8 Bluebird 0 55 10 14 4 6 9
4 Bluebird 1 55 10 Thompson 0 6 9 10802 Bluebird 0 55 8 Bluebird 0 55 7 Keiser 0 42 4 Keiser 0 55 6 Bluebird 0 55 9 Keiser 0 42 10 Bluebird 0 42 4 Bluebird 0 55 2 4 Bluebird 1 55 10 Keiser 0 14 4 12 7 2 7 Bluebird 0 42 5284 10 Bluebird 0 42 7 Bluebird 1 55 10 Bluebird 0 55 5 6 6 11 7 10 Bluebird 0 55 5 Bluebird 1 55 8 9 Problem 51 Refer to the Lincolnville School District bus data. a. Conduct a test of hypothesis to reveal whether the mean maintenance cost is equal for each of the bus manufactures. Use the .01 significance level. b. Conduct a test of hypothesis to determine whether the mean miles traveled since the last maintenance is equal for each bus manufacturer. Use the .05 significance level. Problem 57 A survey investigated the public’s attitude toward the federal deficit. Each sampled citizen was classified as to whether he or she felt the government should reduce the deficit or increase the deficit, or if the individual had no opinion. The sample results of the study by gender are reported below. Gender Reduce the Deficit Increase the deficit No Opinion Female 244 194 68 Male 305 114 25 At the .05 significance level, is it reasonable to conclude that gender is independent of a person’s position on the deficit? Problem 64 Refer to the Lincolnwood School District bus data. a. Suppose we consider a bus “old” if it has been in service more than 8 years. At the .01 significance level, can we conclude that less than 40% of the district’s buses are old? Report the p-value. b. Find the median maintenance cost and the median age of the buses. Organize the data into a two-by-two contingency table, with buses above and below the median of each variable. Determine whether the age of the bus is related to the amount of the maintenance cost. Use the .05 significance level. c. Is there a relationship between the maintenance cost and the manufacturer of the bus? Use the breakdown in part (b) for the buses above and below the median maintenance cost and the bus manufacturers to create a contingency table. Use the .05 significance level.
2
This worksheet contains values required for MegaStat charts.
Boxplot
1
8
0
10
6
3
9
2
7
4
2
806
3 806
3
827
1 827
3
8
5
2
851.5
2
908
1 851.5
1 806
1
669.5
3 669.5
1
737.
75
3 737.75
1
919.75
3 919.75
1
988
3 988
Boxplot 1/28/2010 16:06.08
2 806
3 806
3 827
1 827
3 827
3 851.5
2 851.5
2 908
2 851.5
1 851.5
1 806
2 806
1 669.5
3 669.5
1 737.75
3 737.75
1 919.75
3 919.75
1 988
3 988
Dotplot 1/28/2010 16:06.08
741 1
751
7
57
757 2
760
774
775
780
784
785
790
792
798
799
799 2
800
802
803
804
806 1
806 2
809
8
12
815
815 2
815 3
816
816 2
817
817 2
817 3
818
819
819 2
821
822
823
826
827 1
827 2
827 3
828
830
831
832
835
836
837
8
38
8
39
8
42
842 2
842 3
844
8
45
846
847
848
849
851 1
853
856
857
857 2
858
859
859 2
864
865
866
866 2
869
870
873
874
882
883
885
895
908 1
Boxplot 1/28/2010 16:08.20
2 806
3 806
3 827
1 827
3 827
3 851.5
2 851.5 2 895
1 851.5
1 806
2 806
1 669.5
3 669.5
1 737.75
3 737.75
1 919.75
3 919.75
1 988
3 988
1.8
980
1.8
1008
Dotplot 1/28/2010 16:08.20
751 1
757 1
757 2
760 1
774 1
775 1
780 1
784 1
785 1
790 1
792 1
798 1
799 1
799 2
800 1
802 1
803 1
804 1
806 1
806 2
809 1
812 1
815 1
815 2
815 3
816 1
816 2
817 1
817 2
817 3
818 1
819 1
819 2
821 1
822 1
823 1
826 1
827 1
827 2
827 3
828 1
830 1
831 1
832 1
835 1
836 1
837 1
838 1
839 1
842 1
842 2
842 3
844 1
845 1
846 1
847 1
848 1
849 1
851 1
853 1
856 1
857 1
857 2
858 1
859 1
859 2
864 1
865 1
866 1
866 2
869 1
870 1
874 1
882 1
883 1
885 1
895 1 980 1
1008 1
Bus
Data Set 3 –Lincolnville School District Bus Data
ID
Manufacturer
Engine Type (0=diesel)
Capacity
Maintenance Cost
Age
Odometer
Miles
10
Keiser
14
464
5
43
11
396
Thompson
1072
21858
11969
122
Bluebird
55
9394
116580
11967
751 Keiser 0 14
1078
22444
11
948
279
22672
11925
500
53
29
507
11922
Variables
520
4794
119130
11896
759
3952
87872
11889
ID = Bus identification number
714
3742
7
370
11837
875
4376
97947
11
814
Manufacturer = Source of the bus (Bluebird, Keiser, or Thompson)
600
4832
119860
11800
953
5160
117700
11798
Engine type = If the engine is diesel then engine type = 0; if the engine is gasoline, then engine type = 1)
101
1955
41096
11789
358
2775
70086
11782
Capacity = number of seats on the bus
29 Bluebird 1 55
5352
69438
11781
365
3065
63384
11778
Maintenance cost = dollars spent to maintain a bus last year
162
314
31266
11757
686
156
34674
11707
Age = number of years since the bus left the manufacturer
370 Keiser 1 55
7766
86528
11
704
887
3743
93672
11698
Odometer Miles = total number of miles traveled by a bus
464 Bluebird 1 55
2
5
40
34530
948 Keiser 0 42
4342
97956
11691
Miles = number of miles traveled since last maintenance
678
33
61
75229
11668
481
3097
34362
11662
43 Bluebird 1 55
8263
102969
11615
704 Bluebird 0 55
4218
83424
11610
814 Bluebird 0 55
2028
40824
11576
39 Bluebird 1 55
5821
69444
11533
699
9069
98307
11518
75 Bluebird 0 55
3011
71970
11462
693
9
193
101889
11461
989
4795
10
660
11
418
982
505
10276
1
135
321
2
732
70122
11358
724
3
754
91968
11344
732 Keiser 0 42
4640
101196
11342
880
8410
97065
11336
193 Thompson 0 14
5922
128711
11248
884
4364
92457
11231
57 Bluebird 0 55
3190
79240
11222
731
3213
68526
11
168
61 Keiser 0 55
4139
10
353
11148
135 Bluebird 0 55
3560
76426
11127
833
3920
90968
11112
671
6733
89792
11100
692
3770
93248
11048
200
5168
103700
11018
754 Keiser 0 14
7380
146860
11003
540 Bluebird 1 55
3656
4
5284
10945
660 Bluebird 1 55
6213
64434
10911
353 Keiser 1 55
427
45744
10902
482
10575
116534
10802
398
4752
95922
984
3809
87664
10760
977
3769
79422
10759
705
2152
47596
10755
767
2985
71538
10726
326
4563
107343
10724
120
4723
110320
10674
554
1826
44604
10662
695
1061
23152
10633
9 Keiser 1 55
3527
46848
10591
861
9669
106040
10551
603
2116
44384
10518
156 Thompson 0 14
6212
140460
10473
427 Keiser 1 55
6927
73423
10355
883 Bluebird 1 55
1881
20742
10344
168 Thompson 1 14
7004
83006
10315
954
101000
10235
768
3173
71778
10227
490
10133
106240
10210
725
2356
57065
10209
45 Keiser 0 55
3124
60102
10167
38 Keiser 1 14
5976
61662
10140
314 Thompson 0 6
5408
128117
10128
507 Bluebird 0 55
3690
72849
10095
40 Bluebird 1 55
9573
118470
10081
918
2470
53620
10075
387
6863
89960
10055
418 Bluebird 0 55
4513
104715
10000
Problem 51
Problem 57
Problem 64