Question

The average time spent on the internet per week for teenagers is normally distributed with a standard deviation of 1.5 hours. A sample of 120 teenagers is selected at random, and the sample mean is computed as 6.5 hours. What statistical concept is illustrated in this scenario?

Answer 1

The statistical concept illustrated in this scenario is hypothesis testing. In hypothesis testing, we compare a sample statistic to a population parameter to determine whether there is enough evidence to support a claim. In this scenario, we are conducting a hypothesis test to determine if the average time spent on the internet per week for teenagers has changed.

Step-by-step explanation:

The statistical concept illustrated in this scenario is hypothesis testing.

In hypothesis testing, we compare a sample statistic to a population parameter to determine whether there is enough evidence to support a claim.

In this scenario, we are conducting a hypothesis test to determine if the average time spent on the internet per week for teenagers has changed.

The null hypothesis (H0) is that the mean time spent is still 4.5 hours, and the alternative hypothesis (Ha) is that the mean time spent is higher than 4.5 hours.