Twenty patients sampled at random were matched by age and BMI. One of each pair was assigned at random to a new treatment and the other to an existing treatment. Ultrasound examination of a certain...

Extracted text: Twenty patients sampled at random were matched by age and BMI. One of each pair was assigned at random to a new treatment and the other to an existing treatment. Ultrasound examination of a certain tumourtwdght (in grams) produced the following results. 12.5 6.5 10.5 8. 9.9 10.5 Existing Treatment 15.5 5. 8.5 10.6 8.4 10 New Treatment 14 5.7 11.5 10 7 7.5 8. To answer the following questions, report the numerical computations to four decimal places. (a) Test whether there is a difference in the two treatments at 5% level of significance. (b) Find a 90% confidence interval for the mean difference in the treatments. (c) What would be the conclusion in (a) if we had wrongly ignored the pairing?