Six healthy 3 year old female Suffolk sheep were injected with the antibiotic Gentamicin, at a dosage of 10 mg kg body weight Their blood serum concentrations (g ml) of Gentamicin 1 5 hours after injection were as follows13 33 26 34 31 23 25 For these data, the mean is 28 7 and the standard deviati...

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Six healthy 3-year-old female Suffolk sheep were injected with the antibiotic Gentamicin, at a dosage of 10

Question:

Six healthy 3-year-old female Suffolk sheep were injected with the antibiotic Gentamicin, at a dosage of 10 mg/kg body weight. Their blood serum concentrations (µg/ml) of Gentamicin 1.5 hours after injection were as follows13:
33 26 34 31 23 25
For these data, the mean is 28.7 and the standard deviation is 4.6.
(a) Construct a 95% confidence interval for the population mean.
(b) Define in words the population mean that you estimated in part (a).
(c) The interval constructed in part (a) nearly contains all of the observations; will this typically be true for a 95% confidence interval? Explain.