You are designing a new container for powdered laundry detergent. You are considering a cylindrical container with a diameter of
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Since we are dealing with a proportion, it is determined by using the z-distribution that there is insufficient evidence to draw the conclusion that the proportion of all kochia plants that are resistant to glyphosate has increased because the test statistic is less than the critical value for the right-tailed test.
In this problem, we consider that:
is the proportion in 2014.
is the proportion is 2017.
- At the null hypothesis, we test if there has been no increase, that is, the subtraction is of 0.
- At the alternative hypothesis, we test if there has been an increase, hence:
The proportions and standard errors are given by:
Hence, the distribution has mean and standard error given by:
It is given by:
In which p = 0 is the value tested at the null hypothesis, hence:
- Considering a right-tailed test, as we are testing if the proportion is greater than a value, with a significance level of 0.05, the critical value is of
- There is insufficient information to establish that the fraction of all kochia plants that are resistant to glyphosate has increased because the test statistic is smaller than the crucial value for the right-tailed test.
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Answer:
The perimeter of the polygon = 18 units
The area of the polygon will be square units
Step-by-step explanation:
<u><em>Computing the Perimeter of the Polygon: </em></u>
Considering the polygon with vertices
- W (11,2)
- X (11,8)
- Y (14,8)
- Z (14,2)
As the polygon is drawn in coordinate plane as shown in figure a.
From the attached figure a, we can observe that
- The length of the side
units
- The length of the side
units
- The length of the side
units
- The length of the side
units
So, the perimeter of the polygon can be calculated by taking the sum of the lengths of all sides i.e.
The perimeter of the polygon =
= 3 + 6 + 6 + 3
= 18 units
<u><em>Computing the Area of the Polygon: </em></u>
Area can be calculated by multiplying the length and width of the polygon.
So, the area will be:
Therefore, the area of the polygon will be square units
Keywords: area, perimeter, polygon
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