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.

9.9 8.6 10.9 8.5 9.4 9.8 10.0 9.9 11.2 12.1

readings (in mg/dl ). Assume that the population of x values has an approximately normal distribution.
x=mg/dl
s= mg/dl

find a 99.9onfidence 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