Question

The number of hours college students sleep is normally distributed with a mean of 6.5 hours. Assume σ = 2.2 hours. Are you more likely to randomly select 1 college student that sleeps more than 8 hours or are you more likely to select a sample of 30 college students with a mean sleep time more than 8 hours? Explain.

Answer 1

P(a randomly select 1 college student that sleeps more than 8 hours) is

P(a sample of 30 college students with a mean sleep time more than 8 hours) is

Now, we conclude that more likely to randomly select 1 college student that sleeps more than 8 hours compare to a sample of 30 college students with a mean sleep time more than 8 hours