Henry and 28 classmates go on a
1 answer:
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Answer:
The first student, with 20 measurements, will have the more precise interval due to the larger sample size.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
In which z is related to the confidence level, s to the standard deviation and n to the sample size.
The margin of error is inversely proportional to the square root of the sample size, which means that a larger sample will lead to a lower margin of error, that is, to a more precise interval.
In this question:
One student will use 5 measurements, other 20. The first student, with 20 measurements, will have the more precise interval due to the larger sample size.
In order to check if the lines are perpendicular, we need to check if their slopes have the following relation (to find the slope we can use the slope-intercept form y = mx + b):
A.
In this option, y = -5 is an horizontal line and x = 2 is a vertical line, therefore they are perpendicular.
B.
First let's find the slope of each line:
These slopes obey the relation stated above, so the lines are perpendicular.
C.
These slopes obey the relation stated above, so the lines are perpendicular.
D.
These slopes obey the relation stated above, so the lines are perpendicular.
E.
These slopes don't obey the relation stated above, so the lines aren't perpendicular.
The correct options are A, B, C and D.