In an air pollution experiment, two types of sensors for measuring the amount of sulfur monoxide in the atmosphere are being compared. The goal is to see if the different types of instruments produce measurements with the same variability. For the instrument, the following readings were taken. Test the null hypothesis with a two-tailed test at the 0.05 level of significance, assuming the population of measurements is generally normally distributed.
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- An editorial in The New York Times on Sunday, June 4, 2011 discussed the redesigned fuel economy stickers to be required on new cars starting in 2013. Consider a new midsize Ford Fusion S model. At $4-a-gallon gas, annual fuel costs would be about $2,200 for 15,000 miles driven. ... And that’s for a car with a rated mileage of 34.9 m.p.g. (actual highway mileage, as with all vehicles, is lower, in this case about 27 m.p.g.). Industry clearly needs to do better. Did the Times use the rated or the actual mileage in its computation? In Canada, some multi-lane highways have a speed limit of 110 km/hour. Convert this speed to miles per hour, so you'll know how fast you may drive in Canada.A 2014 Honda Civic hybrid costs $24,635. This car is supposed to get 44 miles per gallon in regular city driving and 47 mpg on the highway.2 A completely gas‐powered 2014 Honda Civic costs $18,390. This car is supposed to get 30 mpg in city driving and 39 mpg on the highway.3 1. What additional information is necessary to determine how much money will be spent on gas in a year of driving one of these vehicles? Write down some reasonable values for any missing information. 2. If you purchase the hybrid Civic, how much money would you save in gasoline purchases the first year? 3. How long would it take for the gasoline savings to make up for the additional cost of the hybrid?Suppose John has a torn tendon and is facing surgery to repair it. The surgeon explains the risks to John: infection occurs in 2% of operations, the repair fails in 12%of operations, and both infection and failure occur together in 1.28% of operations. What percentage, ?,of these operations succeed and are free from infection? Please round your answer to the nearest two decimal places. ?=
- In an outbreak of typhoid fever among attendees of an acquaintance party, 99 persons ate spaghetti, 30 of whom developed typhoid fever, 63 ate mac-and-cheese of whom 20 developed typhoid fever. Which group of people had the higher attack rate? Express calculated answers in percentage and in 2 decimal places if applicable.1. Per the CDC article, men have higher blood pressure than women. Is this also true for this wholesale distribution center population? Use 0.05. Determine whether your (NEW) sample provides statistical evidence that this company’s population of adults has men with a higher blood pressure than women. Set alpha at 0.05 just focus on the Systolic number.Suppose John has a torn tendon and is facing surgery to repair it. The surgeon explains the risks to John: infection occurs in 3%3% of operations, the repair fails in 12%12% of operations, and both infection and failure occur together in 0.51%0.51% of operations. What percentage, ?,P, of these operations succeed and are free from infection? Please round your answer to the nearest two decimal places. P=
- The highway department wants to estimate the proportion of vehicles on a Highway at KM 25 between midnight and 5:00 A.M. The head of the department wants to see how many 18-wheel tractor trailers pass on the road. These estimates will be used to determine highway repairs and construction considerations and in highway patrol planning. The department chief asked investigators to calculate estimates of vehicles at different locations on inter-island roads over the past 7 days. From 3,481 vehicles counted there are 927 are 18-wheel drive. However, out of the total 927, there were 51 vehicles that had accidents so that the sample was calculated based on the results of a reduction in the number of accidents. Specify an approximate point for the proportion of vehicles performingtravel on KM 25 during this time period which is an 18-wheeled vehicle!(Assume the confidence level is 99%). What are the benefits of estimating value estimates in this case (analysis of the answers you have obtained)?A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters of mercury (mmHg), for a sample of 10 adults. The following table presents the results. ---Predict the diastolic pressure for a patient whose systolic pressure is 145 millimeters. Round the answer to one decimal place.2. After increasing the number of work hours to 992 per month, the multifactor productivity = loaves/dollar (round your response to three decimal places). 3. The percentage increase in productivity = (enter your response as a percentage rounded to two decimal places).
- It is known that 1000 candidates on average pass the annual qualification exam for logistics engineers in the Netherlands. A logistics engineer works for 25 years on average (until retirement or professional change). Use Little’s Law to estimate how many logistics engineers are employed in each year. 1000 25000 40 400Staying Single. From the U.S. Census Bureau document America’s Families and Living Arrangements and an article in Time magazine, we found that, in 1963, 83.0% of American women between the ages of 25 and 54 were married, compared to 64.6% in 2010. a. For 2010, identify the population.b. For 2010, identify the specied attribute.c. Under what circumstances is the proportion 0.646 a population proportion?d. Under what circumstances is the proportion 0.646 a sample proportion?In March 2015, Laclede Gas had the following rate schedule for natural gas usage in single-family residences.Monthly service charge $19.50Delivery chargeFirst 30 therms $0.91686/thermOver 30 therms $0Natural gas costFirst 30 therms $0.348/thermOver 30 therms $0.5922/therm(a) What is the charge for using 20 therms in a month?(b) What is the charge for using 150 therms in a month?(c) Develop a function that models the monthly charge C for x therms of gas.(d) Graph the function found in part (c).