Question

Pair 1 2 3 4 5 6 7 8 9 10

Medication 7 8 9 5 6 7 7 8 8 7

Placebo 5 5 7 6 8 7 5 9 3 7

(Note: If you’re going to subtract, choose the order medication - placebo.)

A sample of patients with similar weight and age characteristics were put in pairs. One patient in the pair was given medication while the other patient was given a placebo. After a month patients were asked how much better they feel on a scale from 0 to 10, with 10 meaning the most better. We want to know if the medication works better than the placebo.

Test Statistic: T= _________

According to Table 5, the P-value is bounded by: _____ < P-value < ______

Is there sufficient evidence to conclude that the medication works better than the placebo?  Yes / No

Find the 80% confidence interval for the difference in population means of rating of improvement.( ______ ,________ )

Answer 1

NULL HYPOTHESIS H0:

ALTERNATIVE HYPOTHESIS Ha:

Test statistic T= Dbar/sd/sqrt(n)= 1/2.16/sqrt(10)= 1.464

P value = 0.0886

0.05<P value<0.1

Yes there is sufficient evidence  to conclude that the medication works better than the placebo.

The 80% confidence interval is 0.055<μD <1.945

NOTE: HERE I MENTIONED general P value bound and exact P value. . Because in question it is saying according to Table 5 and above Table 5 is not available.