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Answer:
∫₂⁵ ln(x) dx
Step-by-step explanation:
lim(n→∞) ∑ᵢ₌₁ⁿ (3/n) ln((2n + 3i) / n)
lim(n→∞) ∑ᵢ₌₁ⁿ (3/n) ln(2 + (3/n) i)
The width of the interval is b−a = 3, and there are n rectangles. So the width of each rectangle is 3/n, and the height of each rectangle is ln(2 + (3/n) i).
The ith term is 2 + (3/n) i, so a = x₀ = 2. Therefore, b = 2+3 = 5.
So the region is the area under f(x) = ln(x) between x=2 and x=5.
∫₂⁵ ln(x) dx
Given a table below which gives the years in A.D. for an archaeological excavation site using the method of tree ring dating:
Part A:
The sample mean is given by:
Therefore, the sample mean is 1268.
Part B:
We calculate the sample standard deviation as follows:
Part C:
The 90% confidence interval is given by:
Part A:
The sample mean is given by:
Therefore, the sample mean is 1268.
Part B:
We calculate the sample standard deviation as follows:
Part C:
The 90% confidence interval is given by: