Refer to the Lincolnville School District bus data a) Refer to the maintenance c
ID: 3311947 • Letter: R
Question
Refer to the Lincolnville School District bus data
a) Refer to the maintenance cost variable. The mean maintenance cost for last year is $4,552 with a standard deviation of $2332. Estimate the number of buses with a maintenance cost of more than $6,000. Compare that with the actual number. Create a frequency distribution of maintenance cost. Is the distribution normally distributed?
ID
Manufacturer
Engine Type
Engine Type (0=diesel)
Capacity
Maintenance cost
Age
Odometer Miles
Miles
10
Keiser
Gasoline
1
14
4646
5
54375
11973
396
Thompson
Diesel
0
14
1072
2
21858
11969
122
Bluebird
Gasoline
1
55
9394
10
116580
11967
751
Keiser
Diesel
0
14
1078
2
22444
11948
279
Bluebird
Diesel
0
55
1008
2
22672
11925
500
Bluebird
Gasoline
1
55
5329
5
50765
11922
520
Bluebird
Diesel
0
55
4794
10
119130
11896
759
Keiser
Diesel
0
55
3952
8
87872
11883
714
Bluebird
Diesel
0
42
3742
7
73703
11837
875
Bluebird
Diesel
0
55
4376
9
97947
11814
600
Bluebird
Diesel
0
55
4832
10
119860
11800
953
Bluebird
Diesel
0
55
5160
10
117700
11798
101
Bluebird
Diesel
0
55
1955
4
41096
11789
358
Bluebird
Diesel
0
55
2775
6
70086
11782
29
Bluebird
Gasoline
1
55
5352
6
69438
11781
365
Keiser
Diesel
0
55
3065
6
63384
11778
162
Keiser
Gasoline
1
55
3143
3
31266
11758
686
Bluebird
Diesel
0
55
1569
3
34674
11757
370
Keiser
Gasoline
1
55
7766
8
86528
11707
887
Bluebird
Diesel
0
55
3743
8
93672
11704
464
Bluebird
Gasoline
1
55
2540
3
34530
11698
948
Keiser
Diesel
0
42
4342
9
97956
11691
678
Keiser
Diesel
0
55
3361
7
75229
11668
481
Keiser
Gasoline
1
6
3097
3
34362
11662
43
Bluebird
Gasoline
1
55
8263
9
102969
11615
704
Bluebird
Diesel
0
55
4218
8
83424
11610
814
Bluebird
Diesel
0
55
2028
4
40824
11576
39
Bluebird
Gasoline
1
55
5821
6
69444
11533
699
Bluebird
Gasoline
1
55
9069
9
98307
11518
75
Bluebird
Diesel
0
55
3011
6
71970
11462
693
Keiser
Gasoline
1
55
9193
9
101889
11461
989
Keiser
Diesel
0
55
4795
9
106605
11418
982
Bluebird
Diesel
0
55
505
1
10276
11359
321
Bluebird
Diesel
0
42
2732
6
70122
11358
724
Keiser
Diesel
0
42
3754
8
91968
11344
732
Keiser
Diesel
0
42
4640
9
101196
11342
880
Keiser
Gasoline
1
55
8410
9
97065
11336
193
Thompson
Diesel
0
14
5922
11
128711
11248
884
Bluebird
Diesel
0
55
4364
9
92457
11231
57
Bluebird
Diesel
0
55
3190
7
79240
11222
731
Bluebird
Diesel
0
42
3213
6
68526
11168
61
Keiser
Diesel
0
55
4139
9
103536
11148
135
Bluebird
Diesel
0
55
3560
7
76426
11127
833
Thompson
Diesel
0
14
3920
8
90968
11112
671
Thompson
Gasoline
1
14
6733
8
89792
11100
692
Bluebird
Diesel
0
55
3770
8
93248
11048
200
Bluebird
Diesel
0
55
5168
10
103700
11018
754
Keiser
Diesel
0
14
7380
14
146860
11003
540
Bluebird
Gasoline
1
55
3656
4
45284
10945
660
Bluebird
Gasoline
1
55
6213
6
64434
10911
353
Keiser
Gasoline
1
55
4279
4
45744
10902
482
Bluebird
Gasoline
1
55
10575
10
116534
10802
398
Thompson
Diesel
0
6
4752
9
95922
10802
984
Bluebird
Diesel
0
55
3809
8
87664
10760
977
Bluebird
Diesel
0
55
3769
7
79422
10759
705
Keiser
Diesel
0
42
2152
4
47596
10755
767
Keiser
Diesel
0
55
2985
6
71538
10726
326
Bluebird
Diesel
0
55
4563
9
107343
10724
120
Keiser
Diesel
0
42
4723
10
110320
10674
554
Bluebird
Diesel
0
42
1826
4
44604
10662
695
Bluebird
Diesel
0
55
1061
2
23152
10633
9
Keiser
Gasoline
1
55
3527
4
46848
10591
861
Bluebird
Gasoline
1
55
9669
10
106040
10551
603
Keiser
Diesel
0
14
2116
4
44384
10518
156
Thompson
Diesel
0
14
6212
12
140460
10473
427
Keiser
Gasoline
1
55
6927
7
73423
10355
883
Bluebird
Gasoline
1
55
1881
2
20742
10344
168
Thompson
Gasoline
1
14
7004
7
83006
10315
954
Bluebird
Diesel
0
42
5284
10
101000
10235
768
Bluebird
Diesel
0
42
3173
7
71778
10227
490
Bluebird
Gasoline
1
55
10133
10
106240
10210
725
Bluebird
Diesel
0
55
2356
5
57065
10209
45
Keiser
Diesel
0
55
3124
6
60102
10167
38
Keiser
Gasoline
1
14
5976
6
61662
10140
314
Thompson
Diesel
0
6
5408
11
128117
10128
507
Bluebird
Diesel
0
55
3690
7
72849
10095
40
Bluebird
Gasoline
1
55
9573
10
118470
10081
918
Bluebird
Diesel
0
55
2470
5
53620
10075
387
Bluebird
Gasoline
1
55
6863
8
89960
10055
418
Bluebird
Diesel
0
55
4513
9
104715
10000
ID
Manufacturer
Engine Type
Engine Type (0=diesel)
Capacity
Maintenance cost
Age
Odometer Miles
Miles
10
Keiser
Gasoline
1
14
4646
5
54375
11973
396
Thompson
Diesel
0
14
1072
2
21858
11969
122
Bluebird
Gasoline
1
55
9394
10
116580
11967
751
Keiser
Diesel
0
14
1078
2
22444
11948
279
Bluebird
Diesel
0
55
1008
2
22672
11925
500
Bluebird
Gasoline
1
55
5329
5
50765
11922
520
Bluebird
Diesel
0
55
4794
10
119130
11896
759
Keiser
Diesel
0
55
3952
8
87872
11883
714
Bluebird
Diesel
0
42
3742
7
73703
11837
875
Bluebird
Diesel
0
55
4376
9
97947
11814
600
Bluebird
Diesel
0
55
4832
10
119860
11800
953
Bluebird
Diesel
0
55
5160
10
117700
11798
101
Bluebird
Diesel
0
55
1955
4
41096
11789
358
Bluebird
Diesel
0
55
2775
6
70086
11782
29
Bluebird
Gasoline
1
55
5352
6
69438
11781
365
Keiser
Diesel
0
55
3065
6
63384
11778
162
Keiser
Gasoline
1
55
3143
3
31266
11758
686
Bluebird
Diesel
0
55
1569
3
34674
11757
370
Keiser
Gasoline
1
55
7766
8
86528
11707
887
Bluebird
Diesel
0
55
3743
8
93672
11704
464
Bluebird
Gasoline
1
55
2540
3
34530
11698
948
Keiser
Diesel
0
42
4342
9
97956
11691
678
Keiser
Diesel
0
55
3361
7
75229
11668
481
Keiser
Gasoline
1
6
3097
3
34362
11662
43
Bluebird
Gasoline
1
55
8263
9
102969
11615
704
Bluebird
Diesel
0
55
4218
8
83424
11610
814
Bluebird
Diesel
0
55
2028
4
40824
11576
39
Bluebird
Gasoline
1
55
5821
6
69444
11533
699
Bluebird
Gasoline
1
55
9069
9
98307
11518
75
Bluebird
Diesel
0
55
3011
6
71970
11462
693
Keiser
Gasoline
1
55
9193
9
101889
11461
989
Keiser
Diesel
0
55
4795
9
106605
11418
982
Bluebird
Diesel
0
55
505
1
10276
11359
321
Bluebird
Diesel
0
42
2732
6
70122
11358
724
Keiser
Diesel
0
42
3754
8
91968
11344
732
Keiser
Diesel
0
42
4640
9
101196
11342
880
Keiser
Gasoline
1
55
8410
9
97065
11336
193
Thompson
Diesel
0
14
5922
11
128711
11248
884
Bluebird
Diesel
0
55
4364
9
92457
11231
57
Bluebird
Diesel
0
55
3190
7
79240
11222
731
Bluebird
Diesel
0
42
3213
6
68526
11168
61
Keiser
Diesel
0
55
4139
9
103536
11148
135
Bluebird
Diesel
0
55
3560
7
76426
11127
833
Thompson
Diesel
0
14
3920
8
90968
11112
671
Thompson
Gasoline
1
14
6733
8
89792
11100
692
Bluebird
Diesel
0
55
3770
8
93248
11048
200
Bluebird
Diesel
0
55
5168
10
103700
11018
754
Keiser
Diesel
0
14
7380
14
146860
11003
540
Bluebird
Gasoline
1
55
3656
4
45284
10945
660
Bluebird
Gasoline
1
55
6213
6
64434
10911
353
Keiser
Gasoline
1
55
4279
4
45744
10902
482
Bluebird
Gasoline
1
55
10575
10
116534
10802
398
Thompson
Diesel
0
6
4752
9
95922
10802
984
Bluebird
Diesel
0
55
3809
8
87664
10760
977
Bluebird
Diesel
0
55
3769
7
79422
10759
705
Keiser
Diesel
0
42
2152
4
47596
10755
767
Keiser
Diesel
0
55
2985
6
71538
10726
326
Bluebird
Diesel
0
55
4563
9
107343
10724
120
Keiser
Diesel
0
42
4723
10
110320
10674
554
Bluebird
Diesel
0
42
1826
4
44604
10662
695
Bluebird
Diesel
0
55
1061
2
23152
10633
9
Keiser
Gasoline
1
55
3527
4
46848
10591
861
Bluebird
Gasoline
1
55
9669
10
106040
10551
603
Keiser
Diesel
0
14
2116
4
44384
10518
156
Thompson
Diesel
0
14
6212
12
140460
10473
427
Keiser
Gasoline
1
55
6927
7
73423
10355
883
Bluebird
Gasoline
1
55
1881
2
20742
10344
168
Thompson
Gasoline
1
14
7004
7
83006
10315
954
Bluebird
Diesel
0
42
5284
10
101000
10235
768
Bluebird
Diesel
0
42
3173
7
71778
10227
490
Bluebird
Gasoline
1
55
10133
10
106240
10210
725
Bluebird
Diesel
0
55
2356
5
57065
10209
45
Keiser
Diesel
0
55
3124
6
60102
10167
38
Keiser
Gasoline
1
14
5976
6
61662
10140
314
Thompson
Diesel
0
6
5408
11
128117
10128
507
Bluebird
Diesel
0
55
3690
7
72849
10095
40
Bluebird
Gasoline
1
55
9573
10
118470
10081
918
Bluebird
Diesel
0
55
2470
5
53620
10075
387
Bluebird
Gasoline
1
55
6863
8
89960
10055
418
Bluebird
Diesel
0
55
4513
9
104715
10000
Explanation / Answer
The estimation can be done as the statistic is (6000-4552)/2332=0.62 and the probability of that is 26.76%, thus you would expect these many buses out of total to be more than 6000.
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