A study is planned on the effect of a new health-education program promoting smoking cessation among heavy-smoking teenagers ( cigarettes-equal to…

A study is planned on the effect of a new health-education program promoting smoking cessation among heavy-smoking teenagers (> cigarettes-equal to one pack-per day). A randomized study is planned whereby 50 heavy smoking teenagers in two schools (A and B) will receive active intervention with group meetings run by trained psychologist according to the American Cancer society ( ACS) protocol; 50 other heavy smoker teenagers in two different schools (C and D) will receive pamphlets from the ACS promoting smoking cessation but will receive no active intervention by psychologists. Random numbers are used to select two of the four schools to receive the control intervention. The intervention is planned to last for 1 year, after which study participants in all schools will provide self-reports to the numbers of cigarettes smoked, which will be confirmed by biochemical tests of urinary cotinine levels.The main outcome variable is the change in numbers of cigarettes smoked per day. A participant who completely stops smoking is scored as smoking 0 cigarettes per day.It is hypothesized that the effect of the intervention will reduce the mean number of cigarettes smoked by 5 cigarettes per day over 1 year for the active-intervention group. It is also hypothesized that the teenagers in the control group will increase their cigarette compsumption per day over 1 year. Let us assume that the distribution of the number of cigarettes smoked per day at baseline in both groups are normal, with mean = 30 cigarettes per day and standard deviation = 5 cigarettes per day. Furthermore, it is expected, based on previous intervention studies that the standard deviation of the number of cigarettes per day will increase to 7 cigarettes per day after 1 year. Finally, past data also suggest that the correlation coefficient between number of cigarettes smoked by the same person at baseline and 1 year will be .80.Given this information, how would you complete this research project? What hypothesis testing would be involved?

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