In a test of the effectiveness of garlic for lowering cholesterol, 64 subjects were treated with raw garlic. Cholesterol levels
were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.7 and a standard deviation of 1.72. Use a 0.01 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment
1 answer:
Answer:
There is enough evidence to support the claim
Step-by-step explanation:
We are conduction a hypothesis test for dependent samples. We want to see if there was a change in the test subjects cholesterol levels.
For our situation:
n = 64
d = 0.7
s = 1.72
µ(d) = 0
The hypothesis are:
H0: µ(d) = 0
Ha: µ(d) > 0
This is a right tailed test.
We are testing at the 1% level of significance. Our critical region is z > 2.325
If our test statistic is in this region, we will reject the null hypothesis
See attached photo for the calculation of the test statistic and conclusion of the test
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