Question

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

Answer 1

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