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

ID: 3361786 • Letter: O

Question

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. Recently, the patient's total calcium tests gave the following readings (in mg/dl). Assume that the population of x values has an approximately normal distribution.

(a) Use a calculator with mean and sample standard deviation keys to find the sample mean reading x and the sample standard deviation s. (Round your answers to two decimal places.)


(b) Find a 99.9% confidence interval for the population mean of total calcium in this patient's blood. (Round your answer to two decimal places.) Find the upper and lower limits.

9.3 9.0 10.3 9.3 9.4 9.8 10.0 9.9 11.2 12.1

Explanation / Answer

The statistical software output for this problem is:

Summary statistics:

99.9% confidence interval results:

Hence,

a) Mean = 10.03

SD = 0.96

b) 99.9% confidence interval:

(8.58, 11.48)

Column Mean Std. dev. Data 10.03 0.96153812
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