1. A lakefront resort is planning for its summer busy season. It wishes to estimate with 95% confidence the average number of nights each guest will stay in a consecutive visit. Using a sample of guests who stayed last year, the average number of nights per guest is calculated at 5 nights. The standard deviation of the sample is 1.5 nights. The size of the sample used is 120 guests and the resort desires a precision of plus or minus .5 nights. What is the standard error of the mean in the lakefront resort example? Within what range below can the resort expect with 95% confidence for the true population mean to fall? Show the calculation
2. A local restaurant is planning a study on demand for meals over holiday weekends. In calculating the desired sample size for the study, the restaurant's researcher decides to use a rule-of-thumb calculation for estimating the population dispersion. If the range of meals in the study is 0 to 30, what standard deviation does the rule-of-thumb method produce? Show the calculation
3. A microbrewery plans to conduct a study on beer consumption among men between the ages of 29 and 45. A pilot test indicated that men in this age category consume an average of 6 beers per week with a standard deviation of 2.3. If the microbrewery seeks a 95% confidence level and a precision of .5 beers, what size sample should be used in the study? Show the calculation