A 35 foot wire is secured from the top of a flagpole to a stake in the ground. If the stake is 14 feet from the base of the flagpole, how tall is the flagpole?
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- 13. Most major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their studies show that the more carry-on baggage passengers have, the longer it takes the plane to unload and load passengers. One regional airline is considering changing its policy to allow only one carry-on per passenger. Before doing so, the airline decided to collect some data. Specifically, a random sample of 1000 passengers was selected. Researchers observed the passengers and noted the number of bags each person carried on the plane. Out of the 1000 passengers, 340 had more than one bag. a. Based on this sample, develop and interpret a 99% confidence interval estimate for the proportion of the traveling population that would have been impacted had the “one-bag” limit been in effect. Discuss your result. b. The domestic version of Boeing’s 757 has a capacity for 250 passengers. Determine an interval estimate of the number of passengers you would expect…Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottle neck, a critical quality dimension that determines whether the bottle cap will fit properly. The dimensions (in.) from the last six samples are Bottle Sample 1 2 3 4 1 0.592 0.612 0.598 0.623 2 0.584 0.572 0.584 0.573 3 0.596 0.622 0.618 0.586 4 0.606 0.614 0.585 0.598 5 0.582 0.586 0.608 0.611 6 0.583 0.571 0.605 0.625 LOADING... Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. Part 2 Suppose that the specification for the bottle neck diameter is 0.600±0.050 in. and the population standard deviation is 0.013 in. a. What is the process capability index? The Cpk is enter your response here. (Enter your response rounded to two…A developmental psychologist experiment to determine if exposure to an enriched environment shortly after birth will cause increased brain development. Twenty, two-month-old rats are randomly selected from a pool of one thousand two-month-old rat pups. Ten of the twenty pups are exposed to an enriched environment for three weeks and the other ten to the usual environment for the same period of time. At a suitable time after the exposure, the psychologist measures the number of neurons per cm3 in each rat's brain. A comparison is then made of the mean number of neurons per cm3 for each group.a. What is the population?b. What is the independent variable?c. What is the sample?d. What is the statistics?e. What is the dependent variable?
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- We have specified the “tailedness” of a hypothesis test for a population mean with null hypothesis H0: μ = μ0. a. draw the ideal power curve. b. explain what your curve in part (a) portrays. two-tailed4 Cloning credit or debit cards. Wireless identity theft is atechnique of stealing an individual’s personal informationfrom radio-frequency-enabled cards (e.g., credit or debitcards). Upon capturing this data, thieves are able to program their own cards to respond in an identical fashion viacloning. A method for detecting cloning attacks in radiofrequency identification (RFID) applications was exploredin IEEE Transactions on Information Forensics and Security (March, 2013). The method was illustrated using asimple ball drawing game. Consider a group of 10 balls,5 representing genuine RFID cards and 5 representingclones of one or more of these cards. A labeling systemwas used to distinguish among the different genuine cards.Since there are 5 genuine cards, 5 letters—A, B, C, D, andE—were used. Balls labeled with the same letter representeither the genuine card or a clone of the card. Suppose the10 balls are labeled as follows: 3 A’s, 2 B’s, 1 C, 3 D’s,1 E. (See figure below.) Note that…Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottleneck, a critical quality dimension that determines whether the bottle cap will fit properly. The dimensions (inch) from the last six samples are: BOTTLE Sample 1 2 3 4 1 0.694 0.622 0.698 0.69 2 0.687 0.611 0.697 0.613 3 0.671 0.680 0.695 0.602 4 0.610 0.615 0.685 0.678 5 0.680 0.624 0.618 0.614 6 0.685 0.693 0.607 0.669 What would be the upper control limit of a 3-sigma R chart? Answer:
