MATH 2510 Chapter Notes - Chapter 7: Simple Random Sample, Point Estimation, Statistical Parameter

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If x dist is normal, then any sample size will work. If x dist is unknown, n must be 30 or more at least. The critical value z_c is the number that the area under the standard normal curve between. Point estimate of a population parameter is an estimate of the parameter using a single number. Bell shaped with thicker tails than standard normal dist. As d. f increase, the t distribution approaches the stand normal dist. The area under the entire curve is 1. Finding margin of error is the same, but with t_c instead of z_c and s instead of sigma. R= number of success out of n trials. P hat = r/n (this is our point estimate for p, the population proportion of successes) The difference between p and p hat is the margin of error. The margin of error of the estimated proportion is p hat - p.