Answer:
The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.
Step-by-step explanation:
Confidence interval normal
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 2.054.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 312 - 5.35 = 306.65 minutes
The upper end of the interval is the sample mean added to M. So it is 312 + 5.35 = 317.35 minutes
The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.
If you use the common denominator of .5 for both sides of the ratio, you will arrive at 3:5 as a simplified form.
Answer:
3 Answers By Expert Tutors
so Sq root of 43 lies between 6 & 7. Estimate square root of 43 is 6.5.
Step-by-step explanation:
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The coordinates of B are (3, -8). Where the line-segment AB has the midpoint at M with coordinates (2, -1).
<h3>How to calculate the midpoint?</h3>
The midpoint on a line segment with two endpoints (x1, y1) and (x2, y2) is
Midpoint (x, y) = (
, 
)
<h3>Calculation:</h3>
The given line segment is AB with coordinates A(1, 6) and B(x2, y2).
M is the midpoint of line segment AB. Its coordinates are M(2, -1)
Then, the coordinates of B are calculated by
M(x, y) = (, )
(2, -1) = (
, 
)
In comparing both sides,
2 = (1 + x2)/2 and -1 = (6 + y2)/2
On simplifying,
2 = (1 + x2)/2
⇒ 4 = (1 + x2)
⇒ 1 + x2 = 4
⇒ x2 = 4 - 1
∴ x2 = 3
-1 = (6 + y2)/2
⇒ 6 + y2 = -2
⇒ y2 = -2 - 6
∴ y2 = -8
Thus, the coordinates of the required point are B(3, -8).
Learn more about calculating the midpoint here:
brainly.com/question/5566419
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