A new standard for 30-, 40-, and 50-gal residential gas water heaters includes a flame arrester. This device helps to prevent flashback fires from flammable liquid vapor nearby. The Consumer Product Safety Commission would like to estimate the proportion of homes affected by this safety standard. Prior research suggests that the proportion of homes with gas water heaters is approximately 0.40. How large a sample is necessary for the bound on the error of estimation to be 0.03 for a 95% confidence interval? Round your answer to the nearest whole number. Avoid rounding within calculations. n ?
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A bottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. The water bottling company's specifications state that the standard deviation of the amount of water is equal to 0.03 gallon. A random sample of 50 bottles is selected, and the sample mean amount of water per 1 gallon bottle is 0.992 gallon. Complete parts (a) through (d). a. Construct a 95 % confidence interval estimate for the population mean amount of water included in a 1-gallon bottle. (Round to five decimal places as needed.)
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