A geology teacher takes her class on an annual field trip to analyze rock samples. They use randomized sets of
2 answers:
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Answer:
One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.
Step-by-step explanation:
Given:
Both the system can complete the job = 9 minutes
We need find the time required by each system to do the job.
Solution:
Let the time required by another watering system to complete the job be 'x' mins.
Now given:
One watering system needs about three times as long to complete a job as another watering system.
Time required by one watering system =
Rate to complete the job by another watering system =
Rate to complete the job by One watering system =
Rate at which both can complete the job =
So we can say that;
Rate at which both can complete the job is equal to sum of Rate to complete the job by another watering system and Rate to complete the job by One watering system.
framing in equation form we get;
Now taking LCM to make the denominator common we get;
By Cross multiplication we get;
Dividing both side by 3 we get;
Time required by One watering system =
Hence One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.
Answer:
Type I error: Concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.
Step-by-step explanation:
We are given the following in the question:
Hypothesis:
Mean mileage for the Carter Motor Company's new sedan
We can design the null hypothesis and alternate hypothesis as:
Type I error:
- It is the false positive error.
- It is the error of rejection a true hypothesis.
Type II error:
- It is the false negative error.
- It is the non rejection of a false null hypothesis.
Thus, type I error for the given hypothesis is concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.
Type II error would be concluding that mean mileage is greater than or equal to 32 miles per gallon when actually it is less than 32 miles per gallon.