Define ????: ℝ → {0,1} as the characteristic function of ℤ+, the set of positive integers. That is, ????(x) = ????A (x), for the
set A of positive integers = { n | n ∈ ℤ+ }.
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Answer:
Step-by-step explanation:
We are given the following in the question:
Significance level = 0.01
Width of interval = 0.1
Population variance =
We have to find the sample size so that the width of the confidence interval is no larger than 0.1
Formula for sample size:
where E is the margin of error. Since the confidence interval width is 0.1,
Putting these values in the equation:
So, the above expression helps us to calculate the sample size so that the width of the confidence interval is no larger than 0.1 for different sample variances.