Answer:
The degrees of freedom are given by:
The p value for this case would be given by:
Step-by-step explanation:
Information given
represent the mean height for the sample
represent the sample standard deviation
sample size
represent the value that we want to test
t would represent the statistic
represent the p value for the test
Hypothesis to verify
We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info given we got:
It is a proportional relation.
We have given that at Time (hours) = 2, Distance (miles) = 90 and at Time (hours) = 3, Distance (miles) = 135
Therefore, the speed we get from the first two row data = miles/hr.
So, the speed is maintained through out the journey as
At t = 0, Distance = 0
At t = 2 hours, Distance = 2 × 45 = 90 miles
At t = 3 hours, Distance = 3 × 45 = 135 miles
At t = 5 hours, Distance = 5 × 45 = 225 miles
At t = 6 hours, Distance = 6 × 45 = 270 miles
Therefore, the values matches with the table.
Hence, it is a proportional relation. (Answer)