OHaganBooks.com has two principal competitors: JungleBooks.com and FarmerBooks.com. Combined website traffic at the three sites is estimated at 10,000 hits per day. FarmerBooks.com appears to be the most successful of the three and gets as many book hits as the other two combined. Only 10% of the hits at OHaganBooks.com result in orders, whereas JungleBooks.com and FarmerBooks.com both report that 20% of the hits at their sites result in book orders and together, the three sites process 1600 book orders per day. What is the traffic (in hits per day) at each of the sites? OHaganBooks.com gets hits per day JungleBooks.com gets hits per day FarmerBooks.com gets hits per day
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- A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 60 national seniors reported using them.Studies show that about 18 percent of all businesses in the United States are minority-owned.Brian lives in Centerville, a town with a population of 25,000 and 200 businesses. Assuming that the national percentage holds true for the businesses in Centerville, how many of these are minority-owned?The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Though the two stores have been comparable in the past, the owner has made several improvements to Store 1 and wishes to see if the improvements have made Store 1 more popular than Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same sample of days. After choosing a random sample of 8 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of Store 1 exceeds that of Store 2? Answer this question by performing a hypothesis test regarding μd (which is μ with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume that this population of…
- The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Though the two stores have been comparable in the past, the owner has made several improvements to Store 1 and wishes to see if the improvements have made Store 1 more popular than Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 10 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 2 3 4 5 6 7 8 9 10 Store 1 478 478 770 795 952 774 499 953 695 964 Store 2 329 581 595 921 895 661 645 793 575 973 Difference(Store 1 - Store 2) 149 −103 175 −126 57 113 −146 160 120 −9 Send…The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Though the two stores have been comparable in the past, the owner has made several improvements to Store 1 and wishes to see if the improvements have made Store 1 more popular than Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same sample of days. After choosing a random sample of 8 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 2 3 4 5 6 7 8 Store 1 519 631 999 602 543 643 767 742 Store 2 581 324 874 380 257 459 635 564 Difference(Store 1 - Store 2) −62 307 125 222 286 184 132 178 Based on these data, can the owner conclude, at…A venture capitalist, willing to invest $1,000,000, has three investments to choose from: The first investment, a software company, has a 10 percent chance of returning $5,000,000 profit, a 30 percent chance of returning $1,000,000 profit, and a 60 percent chance of losing the million dollars. The second company, a hardware company, has a 20 percent chance of returning $3,000,000 profit, a 40 percent chance of returning $1,000,000 profit, and a 40 percent chance of losing the million dollars. The third company, a biotech firm , has a 10 percent chance of returning $6,000,000 profit, a 70 percent of no profit or loss, and a 20 percent chance of losing the million dollars. Find the expected value for each investment. The software company's expected value is $__ The hardware company's expected value is $___ The biotech firm's expected value is $___ Which investment has the highest expected return, on average? (software, hardware or biotech)
- Suppose 60 percent of the customers at Pizza Palooza order a square pizza, 80 percent order a soft drink, and 48 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza?You are the marketing director for a company that manufactures bodybuilding supplements and you are planning to run ads in Sports Illustrated and GQ Magazine. Based on readership data, you estimate that each one-page ad in Sports Illustrated will be read by 670,000 people in your target group, while each one-page ad in GQ will be read by 170,000. You would like your ads to be read by at least 3 million people in the target group and, to ensure the broadest possible audience, you would like to place at least three full-page ads in each magazine. Draw the feasible region that shows how many pages you can purchase in each magazine. (Let x be the number of full-page ads in Sports Illustrated and let y be the number of full-page ads in GQ Magazine.) Find the corner points of the region. (Round each coordinate to the nearest whole number. If an answer does not exist, enter DNE.) smaller x-value(x, y) = larger x-value(x, y) =The bureau of Transportation Statistics reports on-time performance for airlines at major u.S. airports. Jetblue, united, and uS Airways share terminal C at boston’s loganAirport. The percentage of on-time flights reported for August 2012 was 76.8% forJetblue, 71.5% for united, and 82.2% for uS Airways ( bureau of Transportation Statisticswebsite, october 2012). Assume that 30% of the flights arriving at terminal C are Jetblueflights, 32% are united flights, and 38% are uS Airways flights.a. Develop a joint probability table with three rows (the airlines) and two columns (ontime and late).b. An announcement is made that Flight 1382 will be arriving at gate 20 of terminal C.What is the probability that Flight 1382 will arrive on time?
- The bureau of Transportation Statistics reports on-time performance for airlines at major u.S. airports. Jetblue, united, and uS Airways share terminal C at boston’s loganAirport. The percentage of on-time flights reported for August 2012 was 76.8% forJetblue, 71.5% for united, and 82.2% for uS Airways ( bureau of Transportation Statisticswebsite, october 2012). Assume that 30% of the flights arriving at terminal C are Jetblueflights, 32% are united flights, and 38% are uS Airways flights.a. Develop a joint probability table with three rows (the airlines) and two columns (ontime and late).b. An announcement is made that Flight 1382 will be arriving at gate 20 of terminal C.What is the probability that Flight 1382 will arrive on time?c. What is the most likely airline for Flight 1382? What is the probability that Flight 1382is by this airline?The bureau of Transportation Statistics reports on-time performance for airlines at major u.S. airports. Jetblue, united, and uS Airways share terminal C at boston’s loganAirport. The percentage of on-time flights reported for August 2012 was 76.8% forJetblue, 71.5% for united, and 82.2% for uS Airways ( bureau of Transportation Statisticswebsite, october 2012). Assume that 30% of the flights arriving at terminal C are Jetblueflights, 32% are united flights, and 38% are uS Airways flights.a. Develop a joint probability table with three rows (the airlines) and two columns (ontime and late).A health researcher studying child birth is interested in the possible effect that smoking by the mother during pregnancy has on the baby's birth weight. To investigate, the researcher conducts an observational study by reviewing 400 records of women in their twenties who have recently given birth for the first time. For each record, he notes whether or not the woman smoked during pregnancy and the baby's birth weight, in addition to the woman's education level, and age. From the data, the researcher creates two groups: women in their twenties who smoked during pregnancy and women in their twenties who did not smoke during pregnancy. Then he compares the average birth weight between the two groups. (a)Why might the researcher have chosen to perform an observational study (by gathering information from past records) and not a randomized experiment (by assigning pregnant women to either the smoking or nonsmoking group at random)? Choose the best answer from the choices below. In a…