The volume, V, of a cylinder is V= \pi^2h, where r is the radius of the cylinder and h is the height. Using rounding to the near
1 answer:
To solve this problem you must apply the proccedure shown below:
You have that the radius of the cylinder is 2.75 inches and the height is 5.21 inches. Therefore, you only need to substitute these values into the formula for calculate the volume of a cylinder:
Therefore, as you can see, the answer is: The volume of the cylinder is 124 in³.
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Answer:
(a): The 95% confidence interval is (46.4, 53.6)
(b): The 95% confidence interval is (47.9, 52.1)
(c): Larger sample gives a smaller margin of error.
Step-by-step explanation:
Given
-- sample size
-- sample mean
--- sample standard deviation
Solving (a): The confidence interval of the population mean
Calculate the standard error
The 95% confidence interval for the z value is:
Calculate margin of error (E)
The confidence bound is:
--- approximated
--- approximated
<em>So, the 95% confidence interval is (46.4, 53.6)</em>
Solving (b): The confidence interval of the population mean if mean = 90
First, calculate the standard error of the mean
The 95% confidence interval for the z value is:
Calculate margin of error (E)
The confidence bound is:
--- approximated
--- approximated
<em>So, the 95% confidence interval is (47.9, 52.1)</em>
Solving (c): Effect of larger sample size on margin of error
In (a), we have:
In (b), we have:
<em>Notice that the margin of error decreases when the sample size increases.</em>