The typical college freshman spends an average of $\mu$= 150 minutes per day, with a standard deviation of $\sigma$= 50 minutes, on social media. The distribution of time on social media is known to be Normal. The proportion of students spending at least 2 hours on social media equals:
A)0.726.
B)0.964.
C)0.928.
D)0.072.

Question

Quizplus · Accepted Answer

To find the proportion of students spending at least 2 hours (120 minutes) on social media, we calculate the z-score: z = (120 - 150) / 50 = -0.6. Using the standard normal distribution table, the proportion of students spending less than 120 minutes is approximately 0.274. Therefore, the proportion spending at least 120 minutes is 1 - 0.274 = 0.726.

The Typical College Freshman Spends an Average Of μ\muμ = 150 Minutes Per Day, with a Standard Deviation Of 150

The Typical College Freshman Spends an Average Of $\mu$ = 150 Minutes Per Day, with a Standard Deviation Of 150