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.

10.1

9.0

10.3

8.7

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. (Round your answers to two decimal places.)

x =	mg/dl
s =	mg/dl

(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.)

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.

Answer 1

	Values ( X )
	10.1	0.0025
	9	1.1025
	10.3	0.0625
	8.7	1.8225
	9.4	0.4225
	9.8	0.0625
	10	0.0025
	9.9	0.0225
	11.2	1.3225
	12.1	4.2025
Total	100.5	9.025

Mean

Standard deviation

Confidence Interval



Lower Limit =
Lower Limit = 8.536
Upper Limit =
Upper Limit = 11.564
99.9% Confidence interval is ( 8.54 , 11.56 )

part c)

Since values in the confidence interval is above 6 mg/dl, we can conclude that

No. This confidence interval suggests that the patient no longer has a calcium deficiency.