![]() You can define that area by looking up in Table 2 (in "Statistics Tables") the z-scores that correspond to probabilities of 0.05 in either end of the distribution. This question is the same as asking what weight values correspond to the upper and lower limits of an area of 90 percent in the center of the distribution. What is a 90 percent confidence interval for the population weight, if you presume the players' weights are normally distributed? Assume that the population standard deviation is σ = 11.50. The mean weight of the sample of players is 198, so that number is your point estimate. You are able to select ten players at random and weigh them. Suppose that you want to find out the average weight of all players on the football team at Landers College. Such a range is called a confidence interval. Instead of a point estimate, you might want to identify a range of possible values p might take, controlling the probability that μ is not lower than the lowest value in this range and not higher than the highest value. Some error is associated with this estimate, however-the true population mean may be larger or smaller than the sample mean. Another way to say this is that is the best point estimate of the true value of μ. You have seen that the samplemean is an unbiased estimate of the population mean μ. Quiz: Test for Comparing Two Proportions.Quiz: Test for a Single Population Proportion. ![]()
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