Over the past several months, an adult patient has been treated for tetany (seve

Question

Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). The condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient's last 10 calcium tests gave a sample mean of 9.95 mg/dl. Assume the population standard deviation is 1.02

a. Find 99.9% confidence interval for the population mean of total calcium in this patient's blood.

b. Based on your results in part (a), does it seem that this patient still has a calcium deficiency? Explain.

Explanation / Answer

A) At 99.9% cinfidence interval the critical value is Z0.9995 = 3.27

Cinfidence interval is

Mean +/- Z0.9995 * SD/sqrt (n)

= 9.95 +/- 3.27 * 1.02/sqrt(10)

= 9.95 +/- 1.05

= 8.9, 11

B) No it doesn't seem that the patient still has a calcium deficiency, beacause the interval values are greater than 6.

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