What is the best point estimate of the population mean net change in LDL cholest

Question

What is the best point estimate of the population mean net change in LDL cholesterol after the garlic treatment? Construct a 97% confidence interval estimate of the ret charge in LDL after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol? What is the confidence interval estimate of the population mean mu? What docs the confidence interval al suggest about the effectiveness of the treatment? The confidence interval limits contain 0. suggesting that the garlic treatment did not affect the LDL cholesterol levels. The confidence interval limits suggesting that the garlic treatment did not affect the LDL cholesterol levels The confidence interval contain 0. suggesting that the garlic treatment did affect the LDL cholesterol levels The confidence interval suggesting that the garlic treatment did affect the LDL cholesterol levels.

Explanation / Answer

a.
Point of estimate = Mean(x)=5.5

b.
Confidence Interval
CI = x ± t a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
ta/2 = t-table value
CI = Confidence Interval
Mean(x)=5.5
Standard deviation( sd )=15.3
Sample Size(n)=48
Confidence Interval = [ 5.5 ± t a/2 ( 15.3/ Sqrt ( 48) ) ]
= [ 5.5 - 2.685 * (2.208) , 5.5 + 2.685 * (2.208) ]
= [ -0.429,11.429 ]

c.
Interpretations:
1) We are 99% sure that the interval [-0.429 , 11.429 ] contains the true population mean
2) If a large number of samples are collected, and a confidence interval is created
for each sample, 99% of these intervals will contains the true population mean  
  
  
  
the confidence interval limits contains 0, suggesting that the garlic treatmennt
did n't effect the LDL cholestrol levels

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