**Course **

### MATH 225N Statistical Reasoning For The Health Sciences

**Week 6 Assignment Understanding Confidence Intervals **

**Question:**In a random sample of 350 attendees of a minor league baseball game, 184 said that they bought food from the concession stand. Create a 95% confidence interval for the proportion of fans who bought food from the concession stand. Use Excel to create the confidence interval, rounding to four decimal places.**Question:**Alison, the owner of a regional chain of pizza stores, is trying to decide whether to add calzones to the menu. She conducts a survey of700 people in the region and asks whether they would order calzones if they were on the menu. 46 people … “yes.” Create a 90% confidence interval for the proportion of people in the region who would order calzones if they were on the menu. Round your answer to four decimal places.**Question:**A company wants to determine a confidence interval for the average CPU time of its teleprocessing transactions. A sample of70 random transactions in milliseconds is given below. Assume that the transaction times follow a normal distribution with a standard deviation of 600 Use Excel to determine a 98% confidence interval for the average CPU time in milliseconds. Round your answers to the nearest integer and use ascending order.**Question:**Suppose the weights of tight ends in a football league are … such thatσ2=1,369. A sample of 49 tight ends was randomly …, and the weights are given below. Use Excel to calculate the 95% confidence interval for the mean weight of all tight ends**Question:**A sample of 22 test-tubes … for number of times they can … on a Bunsen burner before they crack is given below. Assume the counts are … Use Excel to construct a 99% confidence interval for μ. Round your answers to two decimal places and use increasing order.**Question:**A tax assessor wants to assess the mean property tax bill for all homeowners in a certain state. From a survey ten years ago, a sample of28 property tax bills is given below. Assume the property tax bills are approximately … Use Excel to construct a 95% confidence interval for the population mean property tax bill. Round your answers to two decimal places and use increasing order.**Question:**The following data represent a sample of the assets (in millions of dollars) of28 credit unions in a state. Assume that the population in this state is … with σ=5 million dollars. Use Excel to find the 99% confidence interval of the mean assets in millions of dollars. Round your answers to three decimal places and use ascending order.**Question:**A study was … to estimate the mean age when people buy their first new car. The ages of purchase for 22randomly … Assume the ages are approximately … Use Excel to determine the99% confidence interval for the mean. Round your answers to two decimal places and use increasing order.**Question:**In a random sample of2,282 college students, 356 … getting 8 or more hours of sleep per night. Create a 95%confidence interval for the proportion of college students who get 8 or more hours of sleep per night. Use Excel to create the confidence interval, rounding to four decimal places.**Question:**A restaurant is reviewing customer complaints. In a sample of227 complaints, 57 complaints were about the slow speed of the service. Create a 95% confidence interval for the proportion of complaints that were about the slow speed of the service. Use Excel to create the confidence interval, rounding to four decimal places.**Question:**The monthly incomes from a random sample of20 workers in a factory is given below in dollars. Assume the population has a normal distribution and has standard deviation $518. Compute a 98% confidence interval for the mean of the population. Round your answers to the nearest dollar and use ascending order.**Question:**The number of hours … per year per adult in a state is normally … with a standard deviation of37. A sample of 115 adults is … at random, and the number of hours … per year per adult is … Use Excel to calculate the 98% confidence interval for the mean hours … per year for adults in this state. Round your answers to two decimal places and use ascending order.**Question:**A type of golf ball is … by dropping it onto a hard surface from a height of1 The height it bounces is … A sample of 25 balls is … and the bounce heights are … below. Use Excel to find a 95% confidence interval for the mean bounce height of the golf ball. Round your answers to two decimal places and use increasing order.**Question:**A college admissions director wishes to estimate the mean age of all students currently enrolled. The age of a random sample of23 students is …. Assume the ages are approximately … Use Excel to construct a 90% confidence interval for the population mean age. Round your answers to two decimal places and use increasing order.**Question:**Weights, in pounds, of ten-year-old girls are … from a neighborhood. A sample of26 is given below. Assuming normality, use Excel to find the 98% confidence interval for the population mean weight μ. Round your answers to three decimal places and use increasing order……

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