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Diagnostic Tests: Total Calcium Over the past several
Chapter , Problem 15(choose chapter or problem)
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, F. Fischbach). Recently, the patients total calcium tests gave the following readings (in mg/dl). 9.3 8.8 10.1 8.9 9.4 9.8 10.0 9.9 11.2 12.1 x 106.9 x x $83.75 s $28.97. x Section 8.2 Estimating m When s Is Unknown 351 (a) Use a calculator to verify that and (b) Find a 99.9% confidence interval for the population mean of total calcium in this patients blood. (c) Interpretation: Based on your results in part (b), do you think this patient still has a calcium deficiency? Explain.
Questions & Answers
QUESTION:
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, F. Fischbach). Recently, the patients total calcium tests gave the following readings (in mg/dl). 9.3 8.8 10.1 8.9 9.4 9.8 10.0 9.9 11.2 12.1 x 106.9 x x $83.75 s $28.97. x Section 8.2 Estimating m When s Is Unknown 351 (a) Use a calculator to verify that and (b) Find a 99.9% confidence interval for the population mean of total calcium in this patients blood. (c) Interpretation: Based on your results in part (b), do you think this patient still has a calcium deficiency? Explain.
ANSWER:(a) The mean and standard deviation of these nine samples are 10.0258 and 1.8945, respectively.
(b) Using a 99.9% confidence interval and a t-score of 2.8