Question

In: Math

Refer to the Lincolnville School District bus data. Conduct a test of hypothesis to reveal whether...

Refer to the Lincolnville School District bus data.

Conduct a test of hypothesis to reveal whether the mean maintenance cost is equal for each of the bus manufacturers. Use the .01 significance level.

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.

Show work in Excel.

ID Manufacturer Engine Type Engine Type (0=diesel) Capacity Maintenance cost Age Odometer Miles Miles
122 Bluebird Gasoline 1 55 9394 10 116580 11967
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
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
686 Bluebird Diesel 0 55 1569 3 34674 11757
887 Bluebird Diesel 0 55 3743 8 93672 11704
464 Bluebird Gasoline 1 55 2540 3 34530 11698
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
982 Bluebird Diesel 0 55 505 1 10276 11359
321 Bluebird Diesel 0 42 2732 6 70122 11358
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
135 Bluebird Diesel 0 55 3560 7 76426 11127
692 Bluebird Diesel 0 55 3770 8 93248 11048
200 Bluebird Diesel 0 55 5168 10 103700 11018
540 Bluebird Gasoline 1 55 3656 4 45284 10945
660 Bluebird Gasoline 1 55 6213 6 64434 10911
482 Bluebird Gasoline 1 55 10575 10 116534 10802
984 Bluebird Diesel 0 55 3809 8 87664 10760
977 Bluebird Diesel 0 55 3769 7 79422 10759
326 Bluebird Diesel 0 55 4563 9 107343 10724
554 Bluebird Diesel 0 42 1826 4 44604 10662
695 Bluebird Diesel 0 55 1061 2 23152 10633
861 Bluebird Gasoline 1 55 9669 10 106040 10551
883 Bluebird Gasoline 1 55 1881 2 20742 10344
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
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
10 Keiser Gasoline 1 14 4646 5 54375 11973
751 Keiser Diesel 0 14 1078 2 22444 11948
759 Keiser Diesel 0 55 3952 8 87872 11883
365 Keiser Diesel 0 55 3065 6 63384 11778
162 Keiser Gasoline 1 55 3143 3 31266 11758
370 Keiser Gasoline 1 55 7766 8 86528 11707
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
693 Keiser Gasoline 1 55 9193 9 101889 11461
989 Keiser Diesel 0 55 4795 9 106605 11418
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
61 Keiser Diesel 0 55 4139 9 103536 11148
754 Keiser Diesel 0 14 7380 14 146860 11003
353 Keiser Gasoline 1 55 4279 4 45744 10902
705 Keiser Diesel 0 42 2152 4 47596 10755
767 Keiser Diesel 0 55 2985 6 71538 10726
120 Keiser Diesel 0 42 4723 10 110320 10674
9 Keiser Gasoline 1 55 3527 4 46848 10591
603 Keiser Diesel 0 14 2116 4 44384 10518
427 Keiser Gasoline 1 55 6927 7 73423 10355
45 Keiser Diesel 0 55 3124 6 60102 10167
38 Keiser Gasoline 1 14 5976 6 61662 10140
396 Thompson Diesel 0 14 1072 2 21858 11969
193 Thompson Diesel 0 14 5922 11 128711 11248
833 Thompson Diesel 0 14 3920 8 90968 11112
671 Thompson Gasoline 1 14 6733 8 89792 11100
398 Thompson Diesel 0 6 4752 9 95922 10802
156 Thompson Diesel 0 14 6212 12 140460 10473
168 Thompson Gasoline 1 14 7004 7 83006 10315
314 Thompson Diesel 0 6 5408 11 128117 10128

Solutions

Expert Solution

Conduct a test of hypothesis to reveal whether the mean maintenance cost is equal for each of the bus manufacturers. Use the .01 significance level.

Here, we have to use one way ANOVA test.

Null hypothesis: H0: The mean maintenance cost is equal for each of the bus manufacturers.

Alternative hypothesis: Ha: The mean maintenance cost is not equal for each of the bus manufacturers.

α = 0.01

ANOVA table by using excel is given as below:

Anova: Single Factor

SUMMARY

Groups

Count

Sum

Average

Variance

Bluebird

47

210558

4479.957

6514563

Keiser

25

112570

4502.8

4199550

Thompson

8

41023

5127.875

3718724

ANOVA

Source of Variation

SS

df

MS

F

P-value

F crit

Between Groups

2957507.198

2

1478754

0.266979

0.766395

3.115366

Within Groups

426490176.8

77

5538833

Total

429447684

79

Here, P-value = 0.766395 > α = 0.01

So, we do not reject the null hypothesis

There is sufficient evidence to conclude that the mean maintenance cost is equal for each of the bus manufacturers.

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.

Here, we have to use one way ANOVA test.

Null hypothesis: H0: The mean miles traveled since the last maintenance is equal for each bus manufacturer.

Alternative hypothesis: Ha: The mean miles traveled since the last maintenance is not equal for each bus manufacturer.

α = 0.05

ANOVA table by using excel is given as below:

Anova: Single Factor

SUMMARY

Groups

Count

Sum

Average

Variance

Bluebird

47

522593

11119

413916.7

Keiser

25

279948

11197.92

331038.1

Thompson

8

87147

10893.38

354085.7

ANOVA

Source of Variation

SS

df

MS

F

P-value

F crit

Between Groups

562609.485

2

281304.7

0.735158

0.482764

3.115366

Within Groups

29463681.72

77

382645.2

Total

30026291.2

79

Here, p-value = 0.482764 > α = 0.05

So, we do not reject the null hypothesis

There is sufficient evidence to conclude that the mean miles traveled since the last maintenance is equal for each bus manufacturer.

milcah answered 5 months ago
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