Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:

<h3>What are the hypotheses tested?</h3>
At the null hypotheses, it i tested if the mean difference remains the same, that is:

At the alternative hypotheses, it is tested if it has decreased, hence:
.
<h3>What is the test statistic?</h3>
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.
The parameters are given as follows:
.
Hence the test statistic is given by:


More can be learned about the t-distribution at brainly.com/question/16162795
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the area of a circle is A = πr², where r = radius of the circle.
how to find points in the circle? depends on what the scenario is, if you know circle's center and its radius, simply use the distance formula to get any of the points, if you have only the equation of it in standard form, you can use the x,y coordinates with substitution, if you have an sketch, you can get them off the grid, so depends on what you have as components.
Answer:
4.
or -5 (It's a negative slope)
5. 0 (It's a horizontal line)
6. 
Formula: 
If the diameter is 10.5 then the radius is 5.25.
This is because the radius of a diameter is half the diameter.
So
10.5/2
= 5.25
Therefore the radius is 5.25
Because of the ligting of the machine and you can go blind if theres no eye protection