An experiment was performed to compare the mean lengths of time required for bodily absorption of type A, B, C and D medicines. The lengths of time in minutes for the drugs to reach a specified level...

Extracted text: An experiment was performed to compare the mean lengths of time required for bodily absorption of type A, B, C and D medicines. The lengths of time in minutes for the drugs to reach a specified level in the blood were recorded. The drug composition of four different types of medicines is assumed to be normal with equal variances. The following is an incomplete ANOVA table. Source of Variation df SS MS Treatment 3 10.21 8.46 Error Total 1.41 18.67 (i) Determine the value of R, S and T in the ANOVA table. At a 5% significant level, can we conclude that the mean lengths of time required for bodily absorption of the four different types of medicines is different? Explain your (ii) answers. (ii) Given the sample mean and sample size of type A and type B medicines are ž = 21.6, n = 3 and ž2 = 20.2, n, = 3, respectively. Construct a 99% confidence interval for the difference in the mean lengths of time required for bodily absorption of the type A and type B medicines. Could there be a significant difference in the mean lengths of time required for bodily absorption for the two medicines? Justify your answers.