Incentives to Exercise A study was designed to see what type of incentive might be most effective in encouraging people to exercise. In the study, 281 overweight or obese people were assigned the goal to walk 7000 steps a day, and their activity was tracked for 100 days. The response variable is the number of days (out of 100) that each participant met the goal. The participants were randomly assigned to one of four different incentive groups: for each day they met the goal, participants in the first group got only praise, participants in the second group got entered into a lottery, and participants in the third group received cash (about $1.50 per day). In the fourth group, participants received all the money up front and lost money (about $1.50 per day) if they didn't meet the goal. (The overall financial effect for participants in the third and fourth conditions is identical, but the psychological effect between winning money and losing money is potentially quite different.) The summary statistics1 for the four conditions and overall are shown in the table below. Condition n Mean St.Dev. Praise 70 30.0 32.0 Lottery 70 35.0 29.9 Get money 70 36.0 29.4 Lose money 71 45.0 30.1 Overall 281 36.5 30.6865 Table 1 Number of days meeting an exercise goal 1Summary statistics are estimated from information given in the paper. (a) In the sample, which incentive had the most success in helping participants meet the goal? O Praise O Lottery O Get money O Lose money
Incentives to Exercise A study was designed to see what type of incentive might be most effective in encouraging people to exercise. In the study, 281 overweight or obese people were assigned the goal to walk 7000 steps a day, and their activity was tracked for 100 days. The response variable is the number of days (out of 100) that each participant met the goal. The participants were randomly assigned to one of four different incentive groups: for each day they met the goal, participants in the first group got only praise, participants in the second group got entered into a lottery, and participants in the third group received cash (about $1.50 per day). In the fourth group, participants received all the money up front and lost money (about $1.50 per day) if they didn't meet the goal. (The overall financial effect for participants in the third and fourth conditions is identical, but the psychological effect between winning money and losing money is potentially quite different.) The summary statistics1 for the four conditions and overall are shown in the table below. Condition n Mean St.Dev. Praise 70 30.0 32.0 Lottery 70 35.0 29.9 Get money 70 36.0 29.4 Lose money 71 45.0 30.1 Overall 281 36.5 30.6865 Table 1 Number of days meeting an exercise goal 1Summary statistics are estimated from information given in the paper. (a) In the sample, which incentive had the most success in helping participants meet the goal? O Praise O Lottery O Get money O Lose money
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Transcribed Image Text:Incentives to Exercise
A study was designed to see what type of incentive might be most effective in encouraging people to exercise. In the study, 281
overweight or obese people were assigned the goal to walk 7000 steps a day, and their activity was tracked for 100 days. The
response variable is the number of days (out of 100) that each participant met the goal. The participants were randomly assigned to
one of four different incentive groups: for each day they met the goal, participants in the first group got only praise, participants in
the second group got entered into a lottery, and participants in the third group received cash (about $1.50 per day). In the fourth
group, participants received all the money up front and lost money (about $1.50 per day) if they didn't meet the goal. (The overall
financial effect for participants in the third and fourth conditions is identical, but the psychological effect between winning money
and losing money is potentially quite different.) The summary statistics1 for the four conditions and overall are shown in the table
below.
Condition
n
Mean St.Dev.
Praise
70
30.0
32.0
Lottery
70
35.0
29.9
Get money
70
36.0
29.4
Lose money
71
45.0
30.1
Overall
281
36.5
30.6865
Table 1 Number of days meeting an exercise goal
1Summary statistics are estimated from information given in the paper.
(a) In the sample, which incentive had the most success in helping participants meet the goal?
O Praise
O Lottery
O Get money
O Lose money
eTextbook and Media
In the sample, which incentive had the least success in helping participants meet the goal?
O Praise
O Lottery
O Get money
O Lose money
eTextbook and Media
(b) Do the conditions for using the F-distribution appear to be met?
O Yes
O No
eTextbook and Media
(c) Test to see if the data provide evidence of a difference in mean success rates depending on the incentive used. Fill in the
following ANOVA table.
Round your answers for the SS and MS columns to the nearest integer. Round your answer for the F-statistic to two decimal
places and your answer for the p-value to three decimal places.
Source
df
SS
MS
F-Statistic
P-Value
Groups
i
i
i
Error
i
i
i
Total
i
Do we find evidence of a difference in means between the groups?
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