3. Refer to the Lincolnville School District bus data. a. Select the variable for the number of miles traveled last month. Conduct a hypothesis test to determine whether the mean miles traveled last month equals 10,000. Use the .01 significance level. Find the p- value and explain what it means
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![Lincolnville School District bus
ID
Manufacturer Engine Type
Engine Type (0-diesel)
Сараcity
Maintenance cost
Age
Odometer Miles
Miles
10
Keiser
Gasoline
14
4646
5
54375
11973
396
Thompson
Diesel
14
1072
2
21858
11969
122
Bluebird
Gasoline
1
55
9394
10
116580
11967
751
Keiser
Diesel
14
1078
2.
22444
11948
279
Bluebird
Diesel
55
1008
22672
11925
500
Bluebird
Gasoline
1
55
5329
50765
11922
520
Bluebird
Diesel
55
4794
10
119130
11896
759
Keiser
Diesel
55
3952
8
87872
11883
714
Bluebird
Diesel
42
3742
7.
73703
11837
875
Bluebird
Diesel
55
4376
9
97947
11814
600
Bluebird
Diesel
55
4832
10
119860
11800
953
Bluebird
Diesel
55
5160
10
117700
11798
101
Bluebird
Diesel
55
1955
4
41096
11789
358
Bluebird
Diesel
55
2775
6
70086
11782
29
Bluebird
Gasoline
1
55
5352
6
69438
11781
365
Keiser
Diesel
55
3065
6
63384
11778
162
Keiser
Gasoline
1
55
3143
3
31266
11758
686
Bluebird
Diesel
55
1569
3
34674
11757
370
Keiser
Gasoline
1
55
7766
8.
86528
11707
887
Bluebird
Diesel
55
3743
8.
93672
11704
464
Bluebird
Gasoline
1
55
2540
34530
11698
948
Keiser
Diesel
42
4342
9
97956
11691
678
Keiser
Diesel
55
3361
7
75229
11668
481
Keiser
Gasoline
1
3097
3
34362
11662
43
Bluebird
Gasoline
1
55
8263
9
102969
11615
704
Bluebird
Diesel
55
4218
8
83424
11610
814
Bluebird
Diesel
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
55
3011
6
71970
11462
693
Keiser
Gasoline
1
55
9193
9
101889
11461
989
Keiser
Diesel
55
4795
9
106605
11418
982
Bluebird
Diesel
55
505
1
10276
11359
321
Bluebird
Diesel
42
2732
6.
70122
11358
724
Keiser
Diesel
42
3754
8.
91968
11344
732
Keiser
Diesel
42
4640
9
101196
11342
880
Keiser
Gasoline
1
55
8410
9
97065
11336
193
Thompson
Diesel
14
5922
11
128711
11248
884
Bluebird
Diesel
55
4364
9
92457
11231
57
Bluebird
Diesel
55
3190
7
79240
11222
731
Bluebird
Diesel
42
3213
6
68526
11168
61
Keiser
Diesel
55
4139
9
103536
11148
135
Bluebird
Diesel
55
3560
7.
76426
11127
833
Thompson
Diesel
14
3920
8
90968
11112
671
Thompson
Gasoline
1
14
6733
8
89792
11100
692
Bluebird
Diesel
55
3770
8
93248
11048
200
Bluebird
Diesel
55
5168
10
103700
11018
754
Keiser
Diesel
14
7380
14
146860
11003
540
Bluebird
Gasoline
1
55
3656
4
45284
10945
660
Bluebird
Gasoline
1
55
6213
64434
10911
353
Keiser
Gasoline
1
55
4279
4
45744
10902
482
Bluebird
Gasoline
1
55
10575
10
116534
10802
Thompson
Bluebird
398
Diesel
6
4752
95922
10802
984
Diesel
55
3809
8
87664
10760
977
Bluebird
Diesel
55
3769
7.
79422
10759
705
Keiser
Diesel
42
2152
47596
10755
767
Keiser
Diesel
55
2985
6
71538
10726
326
Bluebird
Diesel
55
4563
9
107343
10724
120
Keiser
Diesel
42
4723
10
110320
10674
554
Bluebird
Diesel
42
1826
4
44604
10662
695
Blucbird
Diesel
55
1061
23152
10633
9
Keiser
Gasoline
1
55
3527
4
46848
10591
861
Bluebird
Gasoline
1
55
9669
10
106040
10551
603
Keiser
Diesel
14
2116
4
44384
10518
156
Thompson
Diesel
14
6212
12
140460
10473
427
Keiser
Gasoline
1
55
6927
7
73423
10355
883
Bluebird
Gasoline
1
55
1881
20742
10344
168
Thompson
Gasoline
1
14
7004
83006
10315
954
Bluebird
Diesel
42
5284
10
101000
10235
768
Bluebird
Diesel
42
3173
7
71778
10227
490
Bluebird
Gasoline
1
55
10133
10
106240
10210
725
Blucbird
Diesel
55
2356
5
57065
10209
45
Keiser
Diesel
55
3124
60102
10167
38
Keiser
Gasoline
1
14
5976
6
61662
10140
314
Thompson
Diesel
6
5408
11
128117
10128
507
Bluebird
Diesel
55
3690
7
72849
10095
40
Bluebird
Gasoline
1
55
9573
10
118470
10081
918
Bluebird
Diesel
55
2470
5
53620
10075
387
Bluebird
Gasoline
1
55
6863
8.
89960
10055
418
Bluebird
Diesel
55
4513
9
104715
10000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26a2212d-b3c8-4afd-8fa0-e09b445d7baa%2Fd4f7a93b-c20a-4ce9-a242-6fb7b84b71f0%2Ftuhsx7e_processed.jpeg&w=3840&q=75)
![3. Refer to the Lincolnville School District bus data.
a. Select the variable for the number of miles traveled
last month. Conduct a hypothesis test to determine
whether the mean miles traveled last month equals
10,000. Use the .01 significance level. Find the p-
value and explain what it means.
b. A study of school bus fleets reports that the average
per bus maintenance cost is $4,000 per year. Using
the maintenance cost variable, conduct a hypothesis
test to determine whether the mean maintenance
cost for Lincolnville's bus fleet is more than $4,000
at the .05 significance level. Determine the p-value
and report the results.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26a2212d-b3c8-4afd-8fa0-e09b445d7baa%2Fd4f7a93b-c20a-4ce9-a242-6fb7b84b71f0%2Fqg52kxb_processed.jpeg&w=3840&q=75)
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