1) It is claimed that students use computer networks on average 5 hours a day in...

1) It is claimed that students use computer networks on average 5 hours a day in an educational institution consisting of 2500 students. The average duration of use of the computer alarur for 10 randomly selected students was 5.3 hours, and the standard deviation was 1.2. Create Type 1 error and Type 2 error scenarios for the situation above. In which case, Type 1 error, in which case Type 2 error would have been made, please explain on the given example

Solutions

Expert Solution

H0: Null Hypothesis: = 5 ( Students use computer networks on average 5 hours a day in an educational institution ) (Claim)

HA:Alternative Hypothesis: 5 ( Students do not use computer networks on average 5 hours a day in an educational institution )

Scenerio 1:

Type I Error: Rejection of a true null hypothesis.

Suppose in reality, students use computer networks on average 5 hours a day in an educational institution. But, we wrongly conclude that students do not use computer networks on average 5 hours a day in an educational institution. Type I Error is committed in this scenerio.

Scenerio 2:

Type II Error: Failure to reject a false null hypothesis.

Suppose in reality, students do not use computer networks on average 5 hours a day in an educational institution. But, we wrongly conclude that students use computer networks on average 5 hours a day in an educational institution. Type II Error is committed in this scenerio.

orchestra answered 1 year ago

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