Sprint LTE 17:15 campus.fsu.edu 78%- A rescarch stady was conducted to esamine t

Question

Sprint LTE 17:15 campus.fsu.edu 78%- A rescarch stady was conducted to esamine the clinical efticacy of a new antidepeessant. Depressed patients wee randomly assigned to ose of theee groups a placeho groug, a poup that ceived a low dose of the drag. and a group that seceived a moderate dose of the drug. After foer weeks of treatmest, the paticnts compictied the Bck Depeesice Inventory. The higher the soore, the mote depeessed the patent The data are presented below Low Dose Moderat Dose 26 23 42 31 Mean 3 S 817 83257855 Complete the follow ng ANCW:A table and perfom a hypothesis test at 41 determne if the does are sigaificantly dffieress from each other.Inclede all 5 steps as usual Sounce MS P. Value Within Doses 790 standard for NAshow the details of how to find SS(within doses) and SSibetween dose

Explanation / Answer

from above:null hypothesis:Ho: mean score of doses is same for all of three groups

alternate hypothesis:Ha: at least one group has different mean score of dose

here degree of freeedom of numerator =(a-1=3-1=2) and that of denominator =(N-a=15-3=12) for which at 0.05 level ; critical value F =3.885

Deciison rule: reject Ho if test statistic F >3.885

as test statistic F 11.267 is greater then critical value ; we reject null hypothesis and conclude that  at least one group has different mean score of dose

i ni Xi Si^2 ni*(Xi- grand mean)^2 (ni-1)*Si^2 placebo 5 38.2 66.700 933.889 266.800 low dose 5 20.6 69.300 77.356 277.200 moderate dose 5 14.8 61.700 473.689 246.800 Weighted mean 24.533 1484.933 790.800 SSG SSE Source of variation SS df MS F treatment 1484.933 2 742.467 11.267 error 790.800 12 65.900 total 2275.733 14

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