ANSWER:
Point in original figure (2, -3)
Point in final figure (-3, -2)
STEP-BY-STEP EXPLANATION:
The first thing is to determine the original point of the figure on the graph, which would be:
The rule for 270° counterclockwise rotation is as follows:
We apply it in this case, and the new point would be:
We represent the result on the graph, as follows
Answer:
<em>The calculated t- value = 1.11 > 2.89 at 0.025 level of significance</em>
<em>Null hypothesis is rejected </em>
<em>The engineer designed the valve such that it would produce a mean pressure is not equal to 5.4</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given mean of the Population (μ) = 5.4</em>
<em>Given sample size 'n' = 9</em>
<em>Mean of the sample (x⁻) = 5.7</em>
<em>Standard deviation of the sample (s) = 0.81</em>
<u><em>Step(ii):-</em></u>
<em>Null Hypothesis: H₀:</em> The engineer designed the valve such that it would produce a mean pressure of 5.4
H₀: μ = 5.4
<em>Alternative Hypothesis : H₁:</em> μ ≠ 5.4
Level of significance = 0.025
Test statistic
t = 1.11
<em>Degrees of freedom </em>
<em>ν = n-1 = 9-1 =8</em>
t₀.₀₁₅ , ₈ = 2.89
<em>The calculated t- value = 1.11 > 2.89 at 0.025 level of significance</em>
<em>Null hypothesis is rejected </em>
<em>The engineer designed the valve such that it would produce a mean pressure is not equal to 5.4</em>
<em></em>
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[ Answer ]
[ Explanation ]
Y = X + 2 is saying that Y, is the X dot + 2.
When the X dot is on 0, we have to add 2 to get to where the Y dot is. X (0) + 2 = 2. That is where the Y dot is.
X (2) + 2 = 4. 4 is where the Y dot is,
Once you keep adding the X dots to 2, you will get the Y dots. That is why the equation is Y = X + 2. In order to get to Y, you need to add 2 to the X dot.