Social Media Time 879943
1. **Problem Statement:**
What percentage of students spend less than 2.5 hours per day on social media?
2. **Given Information:**
Mean $\mu = 3.5$ hours, Standard Deviation $\sigma = 1$ hour.
3. **Formula for z-score:**
$$z = \frac{X - \mu}{\sigma}$$
where $X$ is the value of interest.
4. **Calculate the z-score for $X = 2.5$ hours:**
$$z = \frac{2.5 - 3.5}{1} = \frac{-1}{1} = -1$$
5. **Interpretation:**
A z-score of $-1$ means 2.5 hours is 1 standard deviation below the mean.
6. **Use the z-table:**
The z-table gives the cumulative probability to the left of $z = -1$.
From the z-table, $P(Z < -1) \approx 0.1587$ or 15.87%.
7. **Conclusion:**
Approximately 15.87% of students spend less than 2.5 hours per day on social media.