In: Statistics and Probability
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.
9.3 | 8.6 | 10.1 | 8.5 | 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 and the sample standard
deviation s. (in mg/dl; round your answers to two decimal
places.)
= mg/dl
s = mg/dl
(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
limit mg/dl
upper
limit mg/dl
(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.