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- The Bureau of Transportation reports on-time performance for airlines at major airports. JetBlue, United, and US Airways share Terminal C and Boston's Logan Airport. The percentage of on-time flights reported for a sample month were 76.8% for JetBlue, 71.5% for United, and 82.2% for US Airways. Assume that 30% of the arriving flights at this terminal are JetBlue flights, 32% are United flights, and 38% are US Airways flights. a. Develop a contingency table (table of joint probabilities and marginal probabilities). b. An announcement is made that Flight 1382 will arrive at Terminal C. What is the probability that the flight will arrive on time? c. Flight 1382 arrives on time. What is the probability that Flight 1382 is operated by US Airways? d. Flight 1382 will not arrive on time. What is the probability that Flight 1382 is operated by United?The relative effectiveness of two different sales techniques was tested on 12 volunteer housewives. Each housewife was exposed to each sales technique and asked to buy a certain product, the same product in all cases. At the end of each exposure, each housewife rated the technique with a 1 if she felt she would have agreed to buy the product and a 0 if she probably would not have bought the product. Tech 1 2 3 4 1 1 1 2 0 1 1 1 1 0 5 6 7 8 9 10 1 Housewife 0 0 0 0 0 Test Ho: P₁=p₂ versus H₂: P₁ P₂ Use large sample approximations and compare results. 0 0 1 1 1 0 11 12 01 0 1 a) Use Cochran's test b) Rearrange the data and use McNemar's test c) use Fischer exact test d)Ignore the blocking effect in this experiment and treat the data as if 24 difference housewives were used.The General Social Survey is completed by adults living in the United States. In 2016 and 2018, respondents who were not living with both of their parents were asked why. In 2016 (group 1). 581 out of 1008 said that the reason was that their parents were divorced or separated. In 2018 (group 2), 483 out of 644 said that the reason was that their parents were divorced or separated. For the alternative hypothesis that there is a difference between the two years (Ha: P2 - P₁ does not equal O), what is the test statistic? Round your answer to two decimal places. Make sure to include a negative sign if appropriate.
- A study was conducted to investigate whether local car mechanics charge women more than men for an alternator repair. The researcher selected randomly one man and one woman from everyone who had used the same mechanic for the same alternator repair. The process was repeated for a total of six selected randomly cars. The repair prices and the differences (Women – Men) are shown in the table. Do the data provide convincing statistical evidence that women pay more than men for the same alternator repair?A large retail lawn care dealer currently provides a 2-year warranty on all lawn mowers sold at its stores. A new employee suggested that the dealer could save money by just not offering the warranty. To evaluate this suggestion, the dealer randomly decides whether or not to offer the warranty to the next 50 customers who enter the store and express an interest in purchasing a lawnmower. Out of the 25 customers offered the warranty, 10 purchased a mower as compared to 4 of 25 not offered the warranty. a. Place a 95% confidence interval on 7₁ - 72, the difference in the proportions of customers purchasing lawnmowers with and without the warranty. b. Test the research hypothesis that offering the warranty will increase the propor- tion of customers who will purchase a mower. Use a = .05. c. Are the conditions for using a large-sample test to answer the question in part (b) satisfied? If not, apply an exact procedure,According to KRomenx, Snell, and Thompson, 2 the Land of Oz is blessed by many things, but not by good weather. They never have two nice days in a row. If they have a nice day, they are just as likely to have snow as rain the next day. If they have snow or rain, they have an even chance of having the same the next day. If there is change from snow or rain, only half of the time is this a change to a nice day. DRAW TRANSITION GRAPH AND PROBABLOLITY MATRIX
- When looking at the data for graduate school admissions between men and women, it is shown that about 45% of men are admitted but only 38% of women. However, when the data is broken down by school it turns out that, within each school, the women are admitted at higher rates than the men. This could happen because I. The women apply in higher numbers to schools with lower acceptance rates. II. The women apply in higher numbers to schools with higher acceptance rates III. The men apply in higher numbers to schools with lower acceptance rates IV. The men apply in higher numbers to schools with higher acceptance ratesThe manager of a theater that is open to residents of two towns, A and B, wants to know if the proportion of households from A that use the library is smaller than the proportion of households from B. In order to test this, the manager asks 45 households in A and 49 households in B whether anyone in their household had used the theater last summer. 23 of the households surveyed in A responded "yes", and 35 of the households in B responded "yes". Find the p-value that would be used to make a conclusion for this hypothesis test.A small ice cream parlor has had great success over the past several years and is interested in expanding into handmade chocolate candies. A poll of 56 randomly selected customers was asked if they would purchase these chocolate candies. Forty of the customers indicated that they would. Customers Stottetomers wto would nan eturer. d. The ice cream parlor needs at least 85% of its customers to purchase handmade chocolate candies to make this expansion profitable. Does it appear as if the expansion into handmade chocolate candies will be profitable? Explain.
- For one month, 500 elementary students kept a daily record of the hours they spent watching television. The average number of hours per week spent watching television was 28. The researchers conducting the study also obtained report cards for each of the students. They found that the students who did well in school tended to spend less time watching television than those students who did poorly. Listed are several possible statements concerning the results of this research. Place a check by every statement that you agree with based on this study. a. Even though students who did well watched less television, this doesn't necessarily mean that watching television hurts school performance. b. One month is not a long enough period of time to estimate how many hours the students really spend watching television. c. The sample of 500 is too small to permit drawing conclusions about elementary students in general. d. I don't agree with any of these statements. e. If a student decreased the…A basketball coach is interested in determining if shooting free throws underhand is better than shooting them using the overhead method. He has four high school teams (two boys' teams and two girls' teams, with 13 players on each team) available to take part in an experiment. He believes that the difference in shooting percentages will vary more for boys than for girls. He randomly chooses and instructs half of the boys to continue shooting free throws overhead and the rest of the boys to shoot underhand. He does the same for the girls. At the end of a six-game summer league, he compares the shooting percentages for the overhead shooting boys to the underhand shooting boys and the overhead shooting girls to the underhand shooting girls. (a) What is the advantage of using a block design for this study? O Blocking by gender will reduce the variation in the response variable by creating homogeneous groups and determining the effect of the new shooting style on the response (percentage of…Researchers are interested in whether the presence of another person influences one’s level of self-reported stress when performing a public speaking tasks. Participants performed the public speaking task on three different occasions. Once in the presence of a friend who provided support, another time in the presence of a stranger who provided support, and a third time alone, without any support