Question

a) if a random sample of 80 adult amer is ans is obtained, what is the probability that the sample mean watching television is between 2 and 3 hours?
b) one consequence of the popularity of the internet is that it is thought to reduce television watching. suppose that a random sample of 40 individuals who consider themselves to be avid internet users results in a mean time of 1.74 hours watching television on a weekday. determine the likelihood of obtaining a sample mean of 1.74 hours or less from a population whose mean is presumed to be 2.3 hours.
c) based on your probability obtained in part b), do you think avid internet users watch less television?
no, i believe they watch tv less than 2.3 hours on average, because this is a very small probability
yes, i believe they watch tv less than 2.3 hours on average, because this is a very small probability
yes, i believe they watch tv less than 2.3 hours on average, because this is not a small probability
no, i believe they watch tv less than 2.3 hours on average, because this is not a small probability

Explanation:

Part C Explanation:

To determine if avid Internet users watch less TV, we analyze the probability from part B (0.0007, a very small probability). A very small probability (close to 0) suggests the event (sample mean ≤ 1.74 when population mean is 2.1) is rare if the population mean is 2.1. Thus, it's likely the population mean for avid users is less than 2.1, so they watch less TV.

Answer:

Yes, I believe they watch less than 2.3 hours on average, because this is a very small probability (the third option: "Yes, I believe they watch less than 2.3 hours on average, because this is a very small probability").