1. To estimate the mean cholesterol levels of people in Broward County, a blood test on...

1. To estimate the mean cholesterol levels of people in Broward County, a blood test on 21 randomly selected people was conducted and yielded a mean triglyceride level of 224, with a standard deviation of 12. Construct a 95% confidence interval for the true average cholesterol level of people in Broward County. Round your answer to three decimal places. (3 points)

a. (219.693, 228.307)
b. (214.967, 233.033)
c. (218.538, 229.462)
d. (195.320, 204.680)

Solutions

Expert Solution

Solution :

Given that,

= 224

s = 12

n = 21

Degrees of freedom = df = n - 1 = 21- 1 = 20

a ) At 95% confidence level the t is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

t_/2,df = t_0.025,20 =2.086

Margin of error = E = t_/2,df * (s / $\sqrt$ n)

= 2.086 * (12/ $\sqrt$ 21) = 5.462

The 95% confidence interval estimate of the population mean is,

- E < < + E

224. - 5.462 < < 224+ 5.462

218.538 < < 229.462

c .(218.538, 229.462)

orchestra answered 2 years ago

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