Answer:
The probability of selecting a sample which doesn't capture the true value of μ would be 10% rather than 5% if they decide to calculate a 90% confidence interval rather than a 95% confidence interval from the sample they will select.
Step-by-step explanation:
The correct answer is the last statement, but first, let's look at the other statements:
<em>Their confidence interval would be less likely to capture the </em><em>sample </em><em>mean.</em>
This statement is not correct because the <em>confidence </em>of a confidence interval gives us the probability of capturing the true value of the population mean.
<em>They would </em><em>decrease </em><em>the margin of error of their confidence interval if they calculated a 90% rather than a 95% confidence interval.</em>
If we want more confidence we must establish more precision, which means more error. In other words if the confidence increases so does the error for a fixed sample size. The second statement is false.
<em>The probability of selecting a sample which doesn't capture the true value of μ would be 10% rather than 5% if they decide to calculate a 90% confidence interval rather than a 95% confidence interval from the sample they will select.</em>
As stated before the <em>confidence </em>of a confidence interval is the probability that the interval contains the true value of μ. Therefore, if we increase the confidence from 95% to 90% then this probability also increases. A 90% confidence means that there's a 10% probability of not containing the true mean. Likely, a 95% confidence means that there's a 5% probability of not containig the true mean. The third statement is true.
Answer:
8 square units
Step-by-step explanation:
Area of a rectangle= lenght x width
locating the four points on a Cartesian plane
lenght = BC= AD = (0,4)->(4,4) = 4units
width = AB = CD = (0,2)-> (0,4) = 2units
Area of rectangle = 4units x 2units = 8 square units
Answer:
The volume of the cylinder is 
cubic feet.
Step-by-step explanation:
From Geometry we remember that volumes of a cone and a cylinder with the same radius (
), measured in feet, and height (
), measured in feet, are defined by the following equations:
Cone
(1)
Cylinder
(2)
The ratio of the volume of the cylinder to the volume of the cone is:
(3)
If we know that 
, then the volume of the cylinder is:
The volume of the cylinder is cubic feet.
Answer:
85, 95, 95
Step-by-step explanation:
A = 85
B = 95
C = 95
I hope this helped!
