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    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.

    x ¯ = __________ s x = __________ n = __________ n – 1 = __________Define the random variable X in words.Define the random variable X ¯ in words.Which distribution should you use for this problem? Explain your choice.Construct a 95% confidence interval for the population mean length of time. State the confidence interval. Sketch the graph. Calculate the error bound.What does it mean to be “95% confident” in this problem?

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Source:  OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18
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