You collect a random sample of size n from a population and calculate a 95% confidence
1 answer:
A strategy which would produce a new confidence interval with an <u>increased</u> margin of error is to: A. use a 98% confidence level.
<h3>What is a confidence interval?</h3>A confidence interval simply refers to a range of estimated values which defines the probability that a population parameter will lie within it.
<h3>How to calculate the margin of error?</h3>Mathematically, a margin of error is calculated by using this formula:
From the above formula, we can deduce that the margin of error is directly proportional to the critical value and inversely proportional to the square root of sample size.
This ultimately implies that, increasing the confidence level from 95% to 98% would <u>increase</u> the critical value and by extension the margin of error and vice-versa.
Read more on confidence interval here: brainly.com/question/25779324
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Answer:
a) h = 123/x^2
b) S = x^2 +492/x
c) x ≈ 6.27
d) S'' = 6; area is a minimum (Y)
e) Amin ≈ 117.78 m²
Step-by-step explanation:
a) The volume is given by ...
V = Bh
where B is the area of the base, x^2, and h is the height. Filling in the given volume, and solving for the height, we get:
123 = x^2·h
h = 123/x^2
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b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.
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c) The derivative of the area with respect to x is ...
When this is zero, area is at an extreme.
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d) The second derivative is ...
This is positive, so the value of x found represents a minimum of the area function.
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e) The minimum area is ...
The minimum area of metal used is about 117.78 m².