Question

Ten years ago, an organization reported that teenagers spent an average of 4.5 hours per week on the phone. The organization thinks that the current mean is higher. To test the claim, fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Suppose that an appropriate hypothesis test is conducted to test the claim that the mean hours is more than 4.5 hours per week. What is the Type I error

Answer 1

Answer: Type I error would be a conclusion that average time spent on phone by teenager is higher than 4.5 hours per week which is actually the same.

Explanation:

Type 1 error occurs when a null hypothesis is true but researcher rejects it.

Let
`\mu` be the average time spent on the phone by teenagers .

Here, Null hypothesis:
`H_0:\mu=4.5`

Alternative hypothesis :
`H_a: \mu>4.5`

So, Type I error would be a conclusion that average time spent on phone by teenager is higher than 4.5 hours per week which is actually the same.