Thirty-four percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the popluation proportion of St. Paulites who drink bottled water more than once a week is 0.34, the same as the overall proportion of Americans who drink bottled water more than once a week. Use z-table. a. Suppose you select a sample of 540 St.Paulites. Show the sampling distribution of p (to 4 decimals). E(p) .34 .0204 b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals). probability c. Suppose you select a sample of 180 St.Paulites. Show the sampling distribution of p (to 4 decimals). E(F) = .34 d. Based upon a smaller sample of only 180 St. Paulites, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals). probability e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in parts (a) and (b) rather than the smaller sample in parts (c) and (d)? Reduced by Have gain in precision by increasing the sample.

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Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.