Question

In: Statistics and Probability

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 = t0.025,20 =2.086

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

= 2.086 * (12/ 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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