Analyze the diagram below and complete the instructions that follow.
1 answer:
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Answer:
See Explanation
Step-by-step explanation:
Given
Rectangle A:
Required
Determine the possible dimensions of Rectangle B
<em>The question has missing options; however, the question can still be solved.</em>
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Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B
Take for instance, the measurements of Rectangle B are
Divide the corresponding lengths of B by A to get the enlargement ratio
For length:
For width
Notice that both ratios are the same.
For this measurement of B, we can conclude that B is an enlargement of A
Assume another measurements for B
Calculate Ratios
For length:
For width
Notice that, both ratios are not equal.
For this measurement of B, we can conclude that B is not an enlargement of A
<em>Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy</em>
Solution :
a).
Given : Number of times, n = 25
Sigma, σ = 0.200 kg
Weight, μ = 13 kg
Therefore the hypothesis should be tested are :
b). When the value of
Test statics :
= 45.5
P-value = 2 x P(Z > 45.5)
= 2 x 1 -P (Z < 45.5) = 0
Reject the null hypothesis if P value < α = 0.01 level of significance.
So reject the null hypothesis.
Therefore, we conclude that the true mean measured weight differs from 13 kg.