Question

#4 a pharmaceutical is testing a new medication to see if it lowers cholesterol. do the hypothesis test to test whether the drug is effective in lowering cholesterol. Below ae the cholesterol levels of 6 individuals before and after taking this new medication let x= 0.05

after med     240    232    235    230     240    244    250    238

before med- 245     250    240   250     240     240    260    245

Answer 1

Solution:

Here, we have to use paired t test.

H₀: µ_d = 0 versus H_a: µ_d > 0

This is an upper tailed test.

We take difference as before minus after.

Test statistic for paired t test is given as below:

t = (Dbar - µ_d)/[S_d/sqrt(n)]

From given data, we have

Dbar = 7.6250

S_d = 8.2278

n = 8

df = n – 1 = 7

α = 0.05

t = (7.6250 – 0)/[ 8.2278/sqrt(8)]

t = 2.6212

P-value = 0.0172

(by using t-table)

P-value < α = 0.05

So, we reject the null hypothesis

There is sufficient evidence to conclude that the drug is effective in lowering cholesterol.