Sam is 11 years old. His age is 6 years greater than 3 times Brandon’s age. Which method can be used to determine Brandon’s age?
1 answer:
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Answer:
Then the minimum sample size in order to satisfy the condition of 0.1 for the margin of error is 97 and since the sample used is n =100 we can conclude that is sufficient and the best answer would be:
D. Yes.
Step-by-step explanation:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. We know that we require a 95% of confidence, our significance level would be given by and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this:
(a)
We want a margin of error of and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Since we don't have prior info for the population proportion we can use as estimator the value of 0.5. And replacing into equation (b) the values from part a we got:
Then the minimum sample size in order to satisfy the condition of 0.1 for the margin of error is 97 and since the sample used is n =100 we can conclude that is sufficient and the best answer would be:
D. Yes.
Answer:
C)
Step-by-step explanation:
Given Equations:
A)
B)
In order to eliminate we need to multiply
to equation B and add it to A.
Multiplying to B.
⇒
⇒
⇒
Adding it equation A.
+
We get
Thus is eliminated.
So, the expression used to eliminate is: