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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.
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The percentage of teenagers with daily screen time between 6 and 9 hours.
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\(\pourcent\)
The percentage of teenagers with daily screen time less than 7.5 hours.
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In 2024, if there were 1200 teenagers in this sample, estimate the number of teenagers with daily screen time greater than 9 hours (round to the nearest integer).
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teenagers
For a normal distribution, the coverage probabilities are illustrated below:
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