Spectrum is a TV, internet, and phone provider in the Greater Cincinnati area. They wish to estimate what percentage of all US household has a home phone in order to better gauge what percentage of their customers would be interested in a landline. 300 US households are randomly selected from all US homeowners. a. Identify the Who, What, and Why for this scenario. b. Identify the population, sampling frame, and sample for this scenario. 2. In the 2014 NFL draft, 172 drafted players came from one of the "Power 5" conferences (ACC, Big 12, Big Ten, Pac-12, SEC), while 166 drafted players came from one of these conferences in the 2013 draft. A frequency bar graph comparing the two years is at the right. Use this information to answer the following. a. Identify the two variables recorded for each of the 338 players drafted. Classify the variables as categorical or quantitative. b. Use the information presented in the bar graph to fill in the description below: In 2014, ______________% of the players drafted came from the Southeastern Conference (SEC). The _______________ conference had the fewest number of players drafted in total for the two years. The 2015 National Championship game featured Ohio State (from the Big 10) and Oregon (from the Pac-12). In the past two years, a total of _____________ players have been drafted from these two conferences, representing a percentage of _____________. 57.5% of the ACC players who were drafted were taken in the 2014 draft; the corresponding percentage for Pac-12 players was _______________%. 3. According to the National Automobile Dealers Association, Toyota accounted for 18.9% of all new cars sold in 2010. Given problems with the accelerator sticking in certain models, a market analyst believes that their market share will drop in 2011. To test this claim, a random sample of 800 new car purchases in August 2011 is taken. a. What variable was recorded for each car purchase in this sample? Is it categorical or quantitative? b. Identify the population, sampling frame, and sample. 4. Suppose the number of hours worked per week by medical residents is normally distributed with a mean of 81.7 hours and a standard deviation of 6.9 hours. Use the Empirical Rule to answer parts a - b. Use normal distributions to answer parts e - f. Write out all supporting work. Round all z-scores to two decimal places. Round all other answers to four decimal places. a. It is expected that 95% of medical residents work between ____________ and _____________ hours per week. b. We expect ___________% of medical residents to work less than 88.6 hours per week. c. Standardize the given observation to answer the following: Rebecca is a medical resident that works 65 hours per week. Rebecca hours of work per week is ____________ standard deviations ____________ (above or below) the mean. d. Zach is an engineer whose hours worked per week is 2.1 standard deviations below the mean hours worked per week for engineers. Whose work week is more unusual for their profession, Rebecca or Zach? e. Between what two values do the middle 80% of medical residents work? f. What percentage of medial residents work less than 80 hours per week? 5. The battery life for an iPad is normally distributed with a mean of 674 minutes and a standard deviation of 42 minutes. Use the Empirical Rule to answer parts a - b. Use normal distributions to answer parts c - e. Write out all supporting work. Round all z-scores to two decimal places. Round all other answers to four decimal places. a. Draw and label the number line for normal model which describes the battery life for new iPads. b. Between what two values do we expect the battery life for 68% of new iPads to fall? c. What is the probability an iPad battery lasts for more than 600 minutes? d. What is the probability the battery life for an iPad lasts between 700 and 800 minutes? e. If the battery life of a new iPad is in the bottom 2%, the company inspects the battery for defects. What battery life would mean your iPad would be inspected for defects? 6. Four normal curves are given. Use the distributions to answer the following: a. Which two curves have the same mean? b. Which two curves have the same standard deviation? c. Which curve has the largest standard deviation? d. Which curve has the largest mean?