Need statistics expert:-
A sequence is given: (=) Identify the values of n, n1, n2, and r. (b) Determine the critical values at the a=0.05 level of significance. (c) Conduct a hypothesis test on the randomness of the data. YYYNNYNNYYYNNNYYNYYNNBaseball Hideki Okajima is a relief pitcher for the Boston Red Sox. He throws a two-seam fastball pitch (T) to complement his tremendous split-finger pitch (S). One night, Okajima threw 20 pitches. The following sequence represents the pitches he threw, in order. TTS TS S TTT S TSS TS S S S T S Conduct a runs test for randomness on the data at the a=0.05 significance level. Is there enough evidence to support the hypothesis that Okajima's pitches are not random?On-Time Flights The following data represent the arrival status of Southwest Flight 0426 from Dallas' Love Field to San Antonio International Airport for 14 consecutive flights. Source: U.S. Department of Transportation L O O L LL O O L O O O OL Status is indicated as on time (O) or late (L). A late arrival is defined as a gate arrival that is more than 10 minutes after the scheduled arrival. What can you conclude about the randomness of the arrival status at the a=0.05 level of significance?On-Time Flights The following data represent the arrival status of Southwest Flight 0426 from Dallas' Love Field to San Antonio International Airport for 14 consecutive flights. Source: U.S. Department of Transportation L O O L LL O O L O O O OL Status is indicated as on time (0) or late (L). A late arrival is defined as a gate arrival that is more than 10 minutes after the scheduled arrival. What can you conclude about the randomness of the arrival status at the a=0.05 level of significance?On-Time Flights The following data represent the arrival status of American Airlines Flight 0715 from Washington DC's Ronald Reagan Airport to Chicago's O'Hare International Airport for 15 consecutive flights. Source: U.S. Department of Transportation LOO 0 0 0 0 LLL O L0 0 0 Status is indicated as on time (O) or late (L). A late arrival is defined as a gate arrival that is more than 10 minutes after the scheduled arrival. What can you conclude about the randomness of the arrival status at the 0=0.05 level of significance?Quality ControlThe quality-control manager of a bottling company wants to discover whether a filling machine overor underfills 16-ounce bottles randomly. The following data represent the filling status of 20 consecutive bottles: AAAAAAAR R R RAAAAAAAR R A bottle is rejected (R) if it is either overfilled or underfilled. A bottle is accepted (A) if it is filled according to specification. Test the randomness of the filling machine in the way that it over- or underfills at the 0=0.05 level of significance.Acid RainIn 2002, the median p level of the rain in Glacier National Park, Montana, was 5.25. A biologist thinks that the acidity of rain has decreased since then. (This would mean that the pH level of the rain has increased.) She obtains a random sample of 15 rain dates in 2011 and obtains the following data: Source: National Atmospheric Deposition Program 5.31 5.19 15.55 5.38 5.37 5.10 5.26 5.20 5.27 5.19 5.27 5.36 5.22 5.28 5.24 Test the hypothesis that the median pH level has increased from 5.25 at the a = 0.05 level of Significance.Age of the BrideA sociologist feels that the median age at which women marry in Cook County. Illinois, is less than the median age throughout the United States (25.8. obtained from data from the U.S. Census Bureau). Based on a random sample of 20 marriage certificates from the county, she obtains the ages shown in the following table: 31 27 24 30 24 27 32 24 23 22 25 23 28 22 28 21 30 25 24 27 Do the data support the sociologist's feelings at the a = 0.05 level of significance?Teacher Salaries The median salary of a teacher in Illinois is $57,283 according to TeacherSalaryInfo.com. The state of Illinois is experiencing serious budget issues in its educational institutions. A politician obtains the following data based on a random sample of 12 teachers at a district in Illinois currently experiencing financial difficulty. Do the data support the belief that the teachers in the district are paid less than the average teacher in the state? Use the a = 0.05 level of significance. Note:The data are skewed right with an outlier. Source.www.familytaxpayers.org 53.620 40.836 48 152 92 006 45.470 49.893 58.838 47.508 73 318 48.876 69.899 113,924Housing Prices on ZillowThe Web site zillow.com allows us to research real estate listings. One neat feature of the site is the "Zestimate," which represents the price Zillow believes the property should sell for. If the Zestimate is accurate, the median difference between the actual selling price and the Zestimate should be zero. The following data represent the difference between the actual selling price and Zestimate for a random sample of 10 real estate transactions. Do the data suggest the Zestimate is inaccurate? Use the o = 0.05 level of significance. Note:A normal probability plot indicates the data are not normal. Source zillow.com 2500 -500 -79.500 -13.500 -500 -1000 14.500 3.500 -12 500 -6000The butterfly symbolizes the notion of personal change. Increasingly, people are turning to butterflies to consecrate meaningful events, such as birthdays, weddings, and funerals. To fill this need, a new industry has hatched. Due to the possibility of introducing an invasive species, butterfly suppliers are monitored by governmental agencies. Along with following regulations, butterfly suppliers must ensure quality and quantity of their product while maintaining a profit. To this end, an individual supplier may hire independent contractors to hatch the varieties needed. These entrepreneurs are paid a small fee for each chrysalis delivered, with a 50%% bonus added for each hatched healthy butterfly. This fee structure provides little room for profit. Therefore, it is important that these contractors deliver a high proportion of healthy butterflies that emerge at a fairly predictable rate. In Florida, one such entrepreneur specializes in harvesting the black swallowtail butterfly. In nature, the female butterfly seeks plants, such as carrot and parsley, to harvest and lay eggs on. A newly hatched caterpillar consumes the host plant, then secures itself and sheds its skin, revealing a chrysalis. During this resting phase, environmental factors such as temperature and humidity may affect the transformation process. Typically. the black swallowtail takes about 1 week to complete its metamorphosis and emerge from its chrysalis. The transformation occasionally results in deformities ranging from wings that will not fully open to missing limbs. The Florida contractor believes that there are differences in quality and emergence time among his broods. Not having taken a scientific approach to the problem, he relies on his memory of seasons past. It seems to him that late-season butterflies emerge sooner and with a greater number of deformities than their earlyseason counterparts. He also speculates that the type and nutritional value of the food consumed by the caterpillar might contribute to any observed differences. This year he is committed to a more formal approach to his butterfly harvest. Since it takes 2 days to deliver the chrysalises from the contractor to the supplier, it is important that the butterflies do not emerge prematurely. It is equally important that the number of defective butterflies be minimized. With these two goals in mind, the contractor seeks the best combination of food source, fertilizer, and brood season to maximize his profits. To examine the effects of these variables on emergence time and number of deformed butterflies, the entrepreneur designed the following experiment. Eight identical pots were filled with equal amounts of a soil and watered carefully to ensure consistency. Two pots of carrot plants and two of parsley were set outside during the early part of the brood season. For the carrot pair, one pot was fed a fixed amount of liquid fertilizer, while the other was fed a nutritionally similar amount of solid fertilizer. The two pots of parsley were similarly fertilized. All four pots were placed next to each other to ensure similar exposures to environmental conditions such as temperature and solar radiation. Five black swallowtail caterpillars of similar age were placed into each container, each allowed to mature and form a caterpillars of similar age were placed into each container, each allowed to mature and form a chrysalis. The time from chrysalis formation until emergence was reported to the nearest day. along with any defects. The same procedure was followed with the four pots that were placed outdoors during the late brood season. Write a report describing the experimental goals and design for the entrepreneur's experiment. Follow the procedure outlined in the box on steps in designing and conducting an experiment (p. 44). Step 5(b), of this procedure is provided in the following table and should be included in your report Florida Black Swallowtail Chrysalis Experiment Data Number Emergence Season Food Fertilizer Deformed Time (Days) Early Parsley Solid 6.6.717 Early Parsley Liquid 6. ZZ8.8 Early Carrot Sali 1 3,6,6, 78 Early Carrot Liquid 6, 6, 78, 8 Late Parsley Solid 2 2,3,4,4,5 Late Parsley Liquid 1 2,3,4.5,5 Late Carrot Solid 3,3,3,4,5 Late Carrot Liquid 0 2, 4,4.4.5 In your report, provide a general descriptive analysis of these data. Be sure to include recommendations for the combination of season, food source, and type of fertilizer that result in the fewest deformed butterflies while achieving a long emergence time. Conclude your report with recommendations for further experiments. For each proposed experiment, be sure to do the following: State the problem to be solved and define the response variables.In Problems Determine whether the underlined value is a parameter or a statistic. In a survey of 1011 people age 50 or older, 73%% agreed with the statement "I believe in life after death." Source: Bill Newcott. "Life after Death," AARP Magazine, Sept /Oct. 2007A casino manager wants to inspect a sample of 14 slot machines in his casino for quality-control purposes. There are 600 sequentially numbered slot machines operating in the casino. Obtain a systematic sample of 14 slot machines. Be sure to discuss how you obtained the sample.Each of the following surveys has bias. Identify the type of bias. (a) A television survey that gives 900 phone numbers for viewers to call with their vote. Each call costs $2.00. (b) An employer distributes a survey to her 450 employees asking them how many hours each week, on average, they surf the Internet during business hours. Three of the employees complete the survey. (c) A question on a survey asks, "Do you favor or oppose a minor increase in property tax to ensure fair salaries for teachers and properly equipped school buildings?" (d) A researcher conducting a poll about national politics sends a survey to a random sample of subscribers to Time magazine
