Question: A randomized control experiment to test the utility of a health drink was conducted between two groups of individuals of the same age, height, and

A randomized control experiment to test the utility of a health

A randomized control experiment to test the utility of a health drink was conducted between two groups of individuals of the same age, height, and weight. The number of individuals in the control group and the treatment group were 110 and 115 respectively. One group (the treatment group) was asked to consume the health drink for a certain period of time and the other group (the control group) was not permitted to consume the drink for the same interval of time. The objective was to check whether the BMI (Body Mass Index) of those who cons_ume the drink remains the same or increases significantly relative to the control group. Let )70 denote the mean BMI of the control group and let _YT denote the mean BMI of the treatment group. YC was calculated to be 20 whereas )77 was calculated to be 30. Let the population mean for those who consume the drink be [trand the population mean for those who don't consume the drink be [40. Which of the following hypotheses should be used to compare the causal effect of the health drink on the BMI in order to fulfill the experiment's objective? HozyT-yc=0vs.H1:yT-yc=10. HozyT-c=0vs.H1:yT-yc#0. HozyT-yc=10 vs. H1:/4T-/4c=0. HozyT-yc=0vs.H1:yT-yc>0. Let nc and 3c be the number of individuals and the standard deviation of the control group, and let \"T and ST be the number of individuals and the standard deviation of the treatment group, respectively. Complete the given table. Group A Group B (Control group) (Treatment group) Difference, Treatment vs. Control yo \"C so YT "T 3T (YT ' Yo) SE(YT ' Va) 95% condence interval {35' pivalue (Round your answers to four decimal places.)

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