8.22 Incentives to Exercise Exercise 5.29 on page 385 describes a study designed to see what type ofincentive might be most effective in encouraging people to exercise. In the study, 281 overweight orobese people were assigned the goal to walk 700o steps a day, and their activity was tracked for 100days. The response variable is the number of days (out of 100) that each participant met the goal. Theparticipants were randomly assigned to one of four different incentive groups: for each day they met thegoal, participants in the first group got only praise, participants in the second group got entered into alottery, 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 meetthe goal. (The overall financial effect for participants in the third and fourth conditions is identical, butthe psychological effect between winning money and losing money is potentially quite different.) Thesummary statisticsé for the four conditions and overall are shown in Table 8.7.TABLE 8.7.Number of days meetingan exercise goalCondition nMean St.Dev.Praise70 30.032.0Lottery70 35.029.9Get money70 36.029.4Lose money 7145.030.1281 36.5Overall30.6865In exercise 8.22,1. A: Test each pairwise difference between themeans.2. B: Write up: What effects or combinations ofeffects are important., and what it means interms of the problem

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Step 1

Given data and calculation is shown below

Step 2

calculation continue

Step 3

p-value is given by

p-value = 0.03(From Excel  =F.DIST.RT(2.99,3,277))

To test each pairwise d...

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