Question

A scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then they did in the 1990s. In 1990s, the average amount of time spent playing computer games was 10.2 hours per week. Is the amount of time greater than that for this year? Fifteen students were surveyed and asked how many hours they spent playing video games. The test statistics is equal to 2.822. What is the p-value?

Answer 1

Answer:

- The amount of time greater than 10.2 hours for this year.

- The $P_{value}$ is 0.01358.

Step-by-step explanation:

Given information:

mean, X = 10.2 hours

sample, n = 15

using t distribution

test statistics = 2.822

$P_{value}$ = 2 x P($t_{n-1}$ > test statistics)

                              = 2 x P($t_{15-1}$ > 2.822)

                              = 2 x 0.00679

                              = 0.01358

$P_{value}$ is less than 0.10 which indicates that the amount of time greater than 10.2 hours for this year.