Question

Please state the null and alternative hypotheses both in written form and in statistical equation form for the following case:

Bulter Trucking Company

A major portion of Bulter's business involves deliveries throughout its local area. To develop better work schedules, the managers want to predict the total daily travel time for their drivers. Initially the managers believed that the total daily travel time would be closely related to the number of miles traveled in making the daily deliveries. See the random sample:

Driver	Miles	Deliveries	Left Turns	Time
1	90	3	9	15.5847722
2	92	5	10	15.5298764
3	53	4	7	9.03507332
4	66	2	7	9.68948825
5	97	2	8	15.5000423
6	82	5	4	14.0292564
7	86	6	9	17.1459818
8	75	3	2	9.90186964
9	95	5	8	18.8427474
10	50	5	8	9.9603396
11	59	4	5	9.15409732
12	81	3	10	13.6339146
13	60	3	6	8.67154303
14	67	3	9	10.9929604
15	76	4	5	11.7169804
16	79	2	8	13.2240813
17	77	5	9	13.8805095
18	51	6	9	11.0743596
19	59	3	10	9.32566341
20	100	2	5	12.5497477

Answer 1

For null hypothesis, we assume the that the result is not significant, so we can write it as

Null hypothesis:- There is no significant relationship between the daily travel time and number of miles traveled

For alternate hypothesis, we assume the that the result is significant, so we can write it as

Alternate hypothesis:- There is a significant relationship between the daily travel time and number of miles traveled

so, we can write it as

this means if the rho value is less than or greater than 0, then there will be significant relationship between daily travel time and number of miles traveled in a day.