Question

A pharmaceutical company is testing a new drug to increase memorization ability. It takes a sample of individuals and splits them randomly into two groups. One group is administered the drug, and the other is given a placebo. After the drug regimen is completed, all members of the study are given a test for memorization ability with higher scores representing a better ability to memorize. You are presented a 90% confidence interval for the difference in population mean scores (with drug - without drug) of (-0.37, 12.77). What can you conclude from this interval?

Answer 1

Here we want to test that new drug to increase memorization ability.

Higher Score means that a better ability to memorize.

So we can hypothesied that as

Ho:- No increase in memorization ability after taking new drug,

i.e. Both placebo and drug administrated people have same test score,

Vs

H1:- increase in memorization ability after taking new drug.

i.e. drug administrated people have higher test score than placebo,

Here we calculated 90 % confidence interval for population mean scores ( -0.37,12.77)

from population interval we can reject Ho if confidence interval does not contains 0.

Here in our confidence interval contain 0. because it is from -0.37 to 12.77.

So we fail to reject Ho.

We accept Ho.

We may conclude that ,Both placebo and drug administrated people have same test score,

i.e. No increase in memorization ability after taking new drug,

So we can say that new drug does not increase memorization ability.