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

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.)

x =

s =

(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:

upper limit:

9.7 9.6 10.1 8.9 9.4 9.8 10.0 9.9 11.2 12.1

Explanation / Answer

from above : mean x =10.07

std deviaiton s =0.9238

b) for 99.9% CI and (n-1=9) degree of freedom ; critical t =4.7809

therefore lower limit =sample mean - t*std error =8.6733

upper limit =sample mean + t*std error =11.4667

X 9.7 9.6 10.1 8.9 9.4 9.8 10 9.9 11.2 12.1 mean(X) 10.0700 std deviation(S) 0.9238 std error =S/(n)1/2 0.2921

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