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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 20 randomly selected people was conducted and yielded a mean triglyceride level of 200, with a standard deviation of 10. 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. (214.967, 233.033)
  • c. (219.741, 230.259)
  • d. (195.320, 204.680)
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Answer #1

Answer:

d. (195.320, 204.680)

sample mean = 200

standard deviation = 10

confidence interval = 95%

t value = 2.093

margin of error = t(s/sqrt(n))

= 4.680

lower limit = sample mean - margin of error = 195.320

upper limit = sample mean + margin of error = 204.680

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