Question

Data collected from two groups of subjects, one used generic drugs(Gen) and the other used Refernce drug(Ref). The average absorption extent for Refernce drug that applied to Nref=78 subjects was Xref=2065, with the SD of Sref=881.8. The average absorption for Generic (Gen) that applied to NGen= 79 subject was XGen=2085 with the SD of SGen=643.5. State HO and H! and test the significance of the differnce between generic and refernce drugs at 95% level.

Need some guidance... thank you

Answer 1

H₀:

H₁:

The test statistic t = ()/

                            = (2065 - 2085)/sqrt((881.8)^2/78 + (643.5)^2/79)

                            = -0.162

DF =

     = ((881.8)^2/78 + (643.5)^2/79)^2/(((881.8)^2/78)^2/77 + ((643.5)^2/79)^2/78)

     = 141

P-value = 2 * P(T < -0.162)

             = 2 * 0.4358

             = 0.8716

Since the P-value is less than the significance level (0.8716 < 0.95), so we should reject the null hypothesis.

So at 95% significance level there is sufficient evidence to conclude that there is a significant difference between generic and refernce drugs.