Six 3-year-old sheep were injected with an antibiotic. Their blood serum concentrations of Gentamicin 1.5 hours after injection were as follows: 33 26 34 31 23 30 For these data, the mean is 29.5 and the standard deviation is 4.2. Construct a (two-sided) 92% confidence interval for the population mean. Find both one-sided 96% confidence intervals for the population mean. Suppose we want a more precise (narrower) interval. Assuming that the mean and standard deviation would remain approximately 29.5 and 4.2, respectively, how many sheep would we need in our new sample to have a margin of error t · < 0.1.

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Six 3-year-old sheep were injected with an antibiotic. Their blood serum concentrations
of Gentamicin 1.5 hours after injection were as follows:
33 26 34 31 23 30
For these data, the mean is 29.5 and the standard deviation is 4.2.
Construct a (two-sided) 92% confidence interval for the population mean.
Find both one-sided 96% confidence intervals for the population mean.
Suppose we want a more precise (narrower) interval. Assuming that the mean and
standard deviation would remain approximately 29.5 and 4.2, respectively, how many
sheep would we need in our new sample to have a margin of error t < 0.1.
Transcribed Image Text:Six 3-year-old sheep were injected with an antibiotic. Their blood serum concentrations of Gentamicin 1.5 hours after injection were as follows: 33 26 34 31 23 30 For these data, the mean is 29.5 and the standard deviation is 4.2. Construct a (two-sided) 92% confidence interval for the population mean. Find both one-sided 96% confidence intervals for the population mean. Suppose we want a more precise (narrower) interval. Assuming that the mean and standard deviation would remain approximately 29.5 and 4.2, respectively, how many sheep would we need in our new sample to have a margin of error t < 0.1.
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