Question

5) After making some modificat aking some modifications to dosage concentration of the new drug you repon mindings to management. They tell you before you will be funded for the fine a companson study with three groups of individuals who have been diagnos 1000 sugar must be completed. The 3 treatments are given new drug 1 time per day, even new drug2 times per day and given a placebo with diet and exercise you will be funded for the final phase of the study duals who have been diagnosed as having high From a pool of individuals who have been diagnosed as having high Blood Sugar, you randomly select 3 groups of 20 individuals each. You decide it will be a double blind experiment so neither the induvial receiving the treatment nor the individual administering the treatment know whether actual drug or placebo is being administered. After 3 months of treatment you collect the before and after results for each individual, calculate the differences in order to compare the average decrease for each treatment group. Assume data from all groups can be treated as normal Factor 1 per Day 2 per Day Placebo with D&E N Mean StDev 95% CI 20 16.90 17.96 (10.04, 23.76) 20 39.10 13.94 (32.24,45.96) 20 4.90 13.66 (-1.96, 11.76) a) (3 pts) Using the rule the author gave us, can we assume the standard deviations are equal? Why? b) (2 pts) State the null and alternative hypotheses for the test to compare the 3 treatment groups.

Answer 1

(a) Yes, we can assume the standard deviations are equal as the pooled standard deviation will be between the values of the 3 groups.

(b) The hypothesis being tested is:

H₀: µ₁ = µ₂ = µ₃

H_a: At least one means is not equal