Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 39

In Problems 13-19, assume that the population of x values has an approximately normal distribution.
Diagnostic Tests: Total Calcium Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl (Reference: Manual of Laboratory and Diagnostic Tests by F. Fischbach). Recently, the patient's total calcium tests gave the following readings (in mg/dl).

(a) Use a calculator to verify that
= 9.95 and s 1.02.
(b) Find a 99.9% confidence interval for the population mean of total calcium in this patient's blood.
(c) Interpretation Based on your results in part (b), does it seem that this patient still has a calcium deficiency Explain.