3) A group of individuals with high cholesterol levels were given a new drug tha

Question

3) A group of individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. Cholesterol levels, in mg/dL, were measured before and after treatment for each individual, with the following results. Before 283 299 200 250 310 After 250 240 170 200 270 Can you conclude that the mean cholesterol level after treatment is less than the mean before treatment? Justify your answer based on an appropriate hypothesis test, with H0: the treatment did not lead to a reduction in cholesterol levels.

Explanation / Answer

Ans:

Test statistic:

t=(42.4-0)/(12.054/sqrt(5))=7.865

df=5-1=4

p-value=P(t>7.865)=0.0014

Assume significance level=0.01

As,p-value<0.01,we reject null hypothesis.

There is sufficient evidence to conclude that the treatment lead to a reduction in cholesterol levels.

subject before after difference(d) 1 283 250 33 2 299 240 59 3 200 170 30 4 250 200 50 5 310 270 40 mean= 42.4 std. Dev= 12.054

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