Question

In: Statistics and Probability

Refer to the Lincolnville School District bus data. 1. Refer to the maintenance cost variable. The...

Refer to the Lincolnville School District bus data.

1. Refer to the maintenance cost variable. The mean maintenance cost for last year is $4,552 with a standard deviation of $2,332. Estimate the number of buses with a maintenace cost of more than $6,000. Compare that with the actual number. Create a frequency distribution of maintenance cost. Is the distribution normally distributed?

2. Refer to the variable on the number of miles driven since the lastm maintenance. The mean is 11,121 and the standard deviation is 617 miles. Estimate the number of buses traveling more than 11,500 miles since the last maintnance. Compare that number with the actual value. Create a frequency distribution of miles since 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 re 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

Solutions

Expert Solution

1. Given that mean maintenance cost for last year is $4,552 with a standard deviation of $2,332. The distribution of maintenance cost follows normal distribution.

To estimate the number of buses with a maintenace cost of more than $6,000 is

the number of buses with a maintenace cost of more than $6,000 is 0.2676*80= 21.4 i.e. 21 buses are found.

From the data we see that 17 buses with a maintenace cost of more than $6,000.

So, its estimate is not accurate

Bin Frequency
2000 9
4000 30
6000 24
8000 8
10000 7
12000 2

It is not normal distribution

2.

The number of miles driven since the lastm maintenance having mean is 11,121 and the standard deviation is 617 miles. Estimate the number of buses traveling more than 11,500 miles since the last maintnance.

tEstimate the number of buses traveling more than 11,500 miles is 0.2709*80= 21.6 i.e. 22 buses are found.

From the data we see that 37 buses traveling more than 11,500 miles.

So, its estimate is not accurate

Bin Frequency
10000 1
10250 11
10500 4
10750 8
11000 8
11250 11
11500 8
11750 11
12000 18
More 0

orchestra answered 2 years ago
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