Watch your cholesterol A sample of 325 patients between the

Watch your cholesterol: A sample of 325 patients between the ages of 38 and 82 were given a combination of the drugs ezetimibe and simvastatin. The achieved a mean reduction in total cholesterol of 0.94 millimole per liter. Assume the population standard deviation is = 0.19. Part 1 out of 3 Construct a 99.8o confidence interval for the mean reduction in total cholesterol In pat take this combination of drugs. Round the answers (o two decimal places, if necessary. o confidence Interval for the mean reduction In cholesterol is i

Solution

n =325

Mean = 0.94

Standard Deviation SD = 0.19

z for 99.8 % confidence interval = 3.091

Margin of error E = (z*SD)/sqrt(n)

= (3.091* 0.19)/sqrt(325)

= 0.0326

The 99.8% Confidence Interval:

= (Mean - E , Mean+E)

= (0.94 - 0.0326 , 0.94 + 0.0326 )

=(0.9074,0.9726)

Rounding off to two decimal places :

= ( 0.91 , 0.97 ) Answer