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Determine the sample size needed to obtain an estimate of u if the margin of error E = 0.11, o = 0.95, and the confidence
Determine the sample size needed to obtain an estimate of u if the margin of error E = 0.11, o = 0.95, and the confidence level is 99% (use zo.005 = 2.57). Use Table IV in Appendix C to compute the probabilities. Recall the following definitions from section 8.3 of the text. Given the confidence level and the standard deviation of the population, the sample size that will produce a predetermined margin of error E of the confidence interval estimate of u is n = 2262 E2 where the value of z is obtained from the standard normal distribution (Table IV in Appendix C or by calculator) and the quantity zo, is called the Margin of Error and is denoted by E. Furthermore, Of = is the standard deviation of x. Alternatively, To obtain z from a graphing calculator, we use the formula z = invNorm(1 - a/2, u, o) where u is the mean and o is the standard deviation of the normal distribution. For the standard normal distribution u = 0 and o = 1. Recall that in general z = invNorm("area to left of z", U, o).It is given that E = 0.11 and o = 0.95. (a) Find a for 99% confidence level. i (b) Find 1 - a/2. 1 - a/2 = i (c) Find Za/2 for a 99% confidence level. Za/2=
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