Question

A doctor is interested in people who have experienced an unexplained episode of vitamin D intoxication. She took a SRS of size 12 from the people who have experienced an unexplained episode of vitamin D intoxication and measured the calcium level in mmol/l in each individual. The sample mean is x = 2.87 mmol/l with a sample standard deviation of 0.43. Assume that the distribution of the calcium level of people with an unexplained episode of vitamin D intoxication is normally distributed.

(a) Calculate a 99% confidence interval for μ = the true mean calcium level of the population of people who experienced an unexplained episode of vitamin D intoxication. Choose the answer closest to your answer.

a. (2.484, 3.256)

b. (1.534, 4.206)    

c. (2.477, 3.263)

d. (2.550, 3.190)

e. (2.010, 3.730)

Which of the following is the best interpretation of the interval calculated above?

a. We are 99% confident that the average sample mean calcium level of all people who have experienced an unexplained episode of vitamin D intoxication is in the interval.

b. There is a 99% probability that the average calcium level of all people who have experienced an unexplained episode of vitamin D intoxication is in the interval.   

c. We are 99% confident that the average calcium level of all people who have experienced an unexplained episode of vitamin D intoxication is in the interval.

d. 1% of the time the confidence interval doesnt contain x.

e. None of the above.

Answer 1