Using the information given, determine whether a normal approximation is appropriate, and then answer the questions.

According to recent research, internet users spend an average of 2.3 hours per day on social media, with a standard deviation of .3. It is thought that internet usage follows a normal distribution. A random sample of 5 internet users is selected.

Is a normal approximation appropriate? Why or Why not?

Yes, because the population is normally distributed.

What is the mean of the sampling mean? ______

What is the standard deviation of the sampling proportion?______ (round to thousandths)

Find the probability that the average time spent on social media of the sample is less than 2 hours.

P(x<2)=______