During the time interval 0 Less than or equal to t less than or equal to 4.5, water flows into tank A at rate of a(t) = (2t-5) +
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Using the t-distribution, as we have the standard deviation for the sample, we have that the test statistic is given by:
At the null hypothesis, it is tested if there is no difference, that is:
At the alternative hypothesis, it is tested if there is a difference, that is:
The test statistic is given by:
The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
- s is the standard deviation of the sample.
- n is the sample size.
In this problem, is tested at the null hypothesis, and the sample is: 20, -40, -40, 0, 20, - 60, -40, hence:
.
Hence, the test statistic is:
More can be learned about the t-distribution at brainly.com/question/16313918