What will happen (other things being equal) if you increase the sample size used to construct a given confidence interval?
1 answer:
Answer:
So if you increase the sample size used to construct a given confidence interval, the confidence interval will be narrower, that is, more precise.
Step-by-step explanation:
The sample size is important to find the margin of errror of a confidence interval.
The margin of error is given by a formula in the following format:
In which c is the critical value(depends on the distribution used, can be T or Z), s is the standard deviation(of the sample or the population) and n is the size of the sample.
As n increases, M decreases, which leads to a lower margin of error.
The lower the margin of error, the more precise the interval is.
So if you increase the sample size used to construct a given confidence interval, the confidence interval will be narrower, that is, more precise.
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Question:
The nth term of a sequence is . Find the fifth term of the sequence
Answer:
The 5th term of the sequence is 37.5
Step-by-step explanation:
Given
Required
Find the 5th term
To find the 5th term, we simply substitute 5 for n in the above expression.
This gives
<em>Hence, the 5th term of the sequence is 37.5</em>