What is 4/5 ratio in hours ?
2 answers:
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Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is F
Since the test statistics<u> is outside </u>the rejection region , <u>we fail to reject </u>the null hypothesis ,There<u> is no</u> statistically significant evidence to reject the claim
Step-by-step explanation:
From the question we are told that
The claim is
Hence
The null hypothesis is
The alternative is
Generally the test statistics is mathematically represented as
=>
=>
Generally the degree of freedom is mathematically represented as
From the student t-distribution table the critical value of at a degree of freedom of 8 is
Since the is outside the rejection region , we fail to reject the null hypothesis ,There is no sufficient evidence to reject the claim
At the considered rate the fraction of pool that is filled per hour is 13/12
<h3>How to measure the rate of change of something as some other value changes?</h3>Suppose that we have to measure the rate of change of y as x changes, then we have:
where we have
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
For the considered case, we can take time spent as difference of independent variable, and the amount of pools filled as the corresponding difference of the dependent variable.
in 12 hour time interval total 13 pools were filled.
That means
Rate of filling the pool is 13 pools per 12 hours or pools per hour.
Thus, at the considered rate the fraction of pool that is filled per hour is 13/12
Learn more about rate of change here: