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Daily screen time is a critical metric for understanding teenage behavior and well-being. A national health study investigates the amount of time teenagers spend on screens (e.g., phones, computers, TVs) per day. In 2023, the daily screen time of teenagers in a large sample was normally distributed with a mean of 6 hours and a standard deviation of 1.5 hours.
Using this information, calculate the following probabilities or values for the daily screen time of teenagers:
The percentage of teenagers with daily screen time between 4.5 and 6 hours.
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
\(\pourcent\)
The percentage of teenagers with daily screen time between 6 and 9 hours.
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
\(\pourcent\)
The percentage of teenagers with daily screen time less than 7.5 hours.
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
\(\pourcent\)
In 2024, if there were 1200 teenagers in this sample, estimate the number of teenagers with daily screen time greater than 9 hours. (
calculatrice
!
e
\(\pi\)
(
)
%
AC
sin
cos
tan
7
8
9
/
\(\sin^{-1}\)
\(\cos^{-1}\)
\(\tan^{-1}\)
4
5
6
*
\(x^2\)
\(\sqrt{\phantom{2}}\)
x
y
1
2
3
-
ln
exp
log
0
.
=
+
and round to the nearest integer.)
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
teenagers
For a normal distribution, the coverage probabilities are illustrated below:
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