Previously an organization reported that teenagers spent 45

Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone.
The organization thinks that, currently, the mean is higher.

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.

If you conducted a hypothesis test and made a Type 1 error what would that error be?

a

To conclude that the current mean hours per week is higher than 4.5, when in fact, it is higher.

b

To conclude that the current mean hours per week is higher than 4.5, when in fact, it is the same.

c

To conclude that the mean hours per week currently is 4.5, when in fact, it is higher.

d

To conclude that the mean hours per week currently is no higher than 4.5, when in fact, it is not higher.

Solution

Null Hypothesis H0: U=4.5
Alternate Hypothesis H1: U>4.5

b
To conclude that the current mean hours per week is higher than 4.5, when in fact, it is the same.