1. Four friends are playing video games which vary in difficulty from hard to average to easy. The following are their scores on the games: Friends John Bill Fred Tony Hard Video Games Average Easy 7 5 8 12 10 6 7 14 15 12 12 a) With alpha = .05, is there an overall significant difference between the friends' mean scores on the 18 different video games? ( b) Prior to data collection it was predicted that the friends' mean scores would be significantly higher on the easy video game than on the hard video game. Is this

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1. Four friends are playing video games which vary in
difficulty from hard to average to easy. The following are
their scores on the games:
Friends
John
Bill
Fred
Tony
Hard
Video Games
7
5
8
12
Average Easy
10
6
7
14
15
12
12
18
a) With alpha = .05, is there an overall significant
difference between the friends' mean scores on the
different video games? (
b) Prior to data collection it was predicted that the friends'
mean scores would be significantly higher on the easy
video game than on the hard video game. Is this
prediction supported? (alpha = .01)? (
c) Suppose you wished to predict the friends' scores on the
easy video game using their scores on the average
difficulty video game as the predictor variable. Use their
scores given above to compute the slope of this
prediction equation and test it for statistical significance
using an alpha of .05.
Transcribed Image Text:1. Four friends are playing video games which vary in difficulty from hard to average to easy. The following are their scores on the games: Friends John Bill Fred Tony Hard Video Games 7 5 8 12 Average Easy 10 6 7 14 15 12 12 18 a) With alpha = .05, is there an overall significant difference between the friends' mean scores on the different video games? ( b) Prior to data collection it was predicted that the friends' mean scores would be significantly higher on the easy video game than on the hard video game. Is this prediction supported? (alpha = .01)? ( c) Suppose you wished to predict the friends' scores on the easy video game using their scores on the average difficulty video game as the predictor variable. Use their scores given above to compute the slope of this prediction equation and test it for statistical significance using an alpha of .05.
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