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.
10.1 |
8.8 |
10.3 |
9.1 |
9.4 |
9.8 |
10.0 |
9.9 |
11.2 |
12.1 |
(a)
Use a calculator with mean and sample standard deviation keys to find the sample mean reading x and the sample standard deviation s. (in mg/dl; round your answers to two decimal places.)
S=
(b)
Find a 99.9% confidence interval for the population mean of total calcium in this patient's blood. (in mg/dl; round your answer to two decimal places.)
Lower
Upper
(c)
Based on your results in part (b), do you think this patient still has a calcium deficiency? Explain.
Yes. This confidence interval suggests that the patient may still have a calcium deficiency.Yes. This confidence interval suggests that the patient no longer has a calcium deficiency. No. This confidence interval suggests that the patient may still have a calcium deficiency.No. This confidence interval suggests that the patient no longer has a calcium deficiency.
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