A Confidence Interval When the Population Standard Deviation Is Unknown and Small Sample Case · Exercise 28
A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of nine patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.7; 2.8; 3.0; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4.
(a) (a) = __________
(b) = __________
(c) n = __________
(d) n – 1 = __________
(b) Define the random variable in words.
(c) Define the random variable in words.
(d) Which distribution should you use for this problem? Explain your choice.
(e) Construct a 95% confidence interval for the population mean length of time.
(a) State the confidence interval.
(b) Sketch the graph.
(f) What does it mean to be “95% confident” in this problem?
This is an open-ended exercise: its source gives no single answer.
OpenStax, Introductory Business Statistics 2e · §8.2 A Confidence Interval When the Population Standard Deviation Is Unknown and Small Sample Case · Exercise 28
No hints for this one.
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