A pharmaceutical company makes tranquilizers. It is assumed that the distribut...
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A pharmaceutical company makes tranquilizers. It is assumed that thedistribution for the length of time they last is approximately normal.Researchers in a hospital used the drug on a random sample of ninepatients. The effective period of the tranquilizer for each patient (inhours) was as follows: 2.7; 2.8; 3.0; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4.(a) What is (i) ¯(x) (ii) Sx (iii) n (iv) n{1(b) Define the random variable X in words.(c) Define the random variable X¯ in words.(d) Which distribution should you use for this problem? Explain yourchoice.(e) Construct a 95% confidence interval for the population mean lengthof time. (i) State the confidence interval. (ii). Sketch the graph. (iii).Calculate the error bound.(f) What does it mean to be "95% confident" in this problem?
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