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1. To estimate the mean triglyceride levels of people in West Palm Beach, a blood test...

1. To estimate the mean triglyceride levels of people in West Palm Beach, a blood test on 30 randomly selected people was conducted and yielded a mean triglyceride level of 220, with a standard deviation of 12. Construct a 95% confidence interval for the true average triglyceride level of people in West Palm Beach. Round your answer to three decimal places. (3 points) a. (218.868, 229.132) b. (215.519, 224.481) c. (214.967, 233.033) d. (219.741, 230.259)

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that,

t /2,df = 2.045

Margin of error = E = t/2,df * (s /n)

= 2.045 * (12 / 30)

Margin of error = E = 4.4804

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

- E < < + E

220 - 4.4804 < < 220 + 4.4804

215.519 < < 224.481

(215.519, 224.481)

option b.

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