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- The Coruro’s Burrow. The subterranean coruro (Spalacopus cyanus) is a social rodent that lives in large colonies in underground burrows that can reach lengths of up to 600 meters. Zoologists S. Begall and M. Gallardo studied the characteristics of the burrow systems of the subterranean coruro in central Chile and published their findings in the paper “Spalacopus cyanus (Rodentia: Octodontidae): An Extremist in Tunnel Constructing and Food Storing among Subterranean Mammals” (Journal of Zoology, Vol. 251, pp. 53–60). A sample of 51 burrows had the depths, in centimeters (cm), presented on the WeissStats site. Use the technology of your choice to do the following. a. Obtain a normal probability plot, boxplot, histogram, and stemand-leaf diagram of the data. b. Based on your results from part (a), can you reasonably apply the t-interval procedure to the data? Explain your reasoning. c. Find and interpret a 90% confidence interval for the mean depth of all subterranean coruro burrows.. Installing a Vent Pipe A homeowner is putting in afireplace that has a 4-inch-radius vent pipe. He needs to cutan elliptical hole in his roof to accommodate the pipe. If thepitch of his roof is 5 / 4 (a rise of 5, run of 4), what are thedimensions of the hole?Source: www.doe.virginia.govTees Does it matter what kind of tee a golfer places theball on? The company that manufactures “Stinger” teesclaims that the thinner shaft and smaller head will lessendrag, reducing spin and allowing the ball to travel farther.In August 2003, Golf Laboratories, Inc., compared thedistance traveled by golf balls hit off regular wooden teesto those hit off Stinger tees. All the balls were struck bythe same golf club using a robotic device set to swing theclub head at approximately 95 miles per hour. Summarystatistics from the test are shown in the table. Assumethat 6 balls were hit off each tee and that the data weresuitable for inference.Is there evidence that balls hit off the Stinger tees wouldhave a higher initial velocity? TotalDistance(yards)BallVelocity(mph)ClubVelocity(mph)Regular Avg. 227.17 127.00 96.17tee SD 2.14 0.89 0.41Stinger Avg. 241.00 128.83 96.17tee SD 2.76 0.41 0.52
- Several states have argued that the 65-mph speed limit has no justification and have refused to enforce it. The federal Department of Transportation (DOT) believes that the 65-mph limit saves lives. To illustrate its contention, the department regressed the number of traffic fatalities (Y) last year in a state on the state’s population (X1), the number of days of snow cover (X2), and the average speed of all cars (X3). The results are shown below. Table 10: Model Summary Model R R Square Adjusted R Square Std. Error of the Estimate 1 .821 a .780 .613 3.258 a. Predictors: (Constant), population, days of snow, average speed Table 11: Coefficients Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. B Std. Error Beta 1 (Constant) 1.4 2.957 .473 .584 Population .00029 .00003 .0034 9.667 .000 Days of Snow 2.4 .62 .759 3.871 .000 Average Speed 10.3 1.1…Only need the last question. Please put anwsers in bold thank you! A researcher with the Department of Education followed a cohort of students who graduated from high school in a certain year, monitoring the progress the students made toward completing a bachelor's degree. One aspect of his research was to determine whether students who first attended community college took longer to attain abachelor's degree than those who immediately attended and remained at a 4-year institution.Susan Sound predicts that students will learn most effectively with a constant background sound, as opposed to an unpredictable sound or no sound at all. She randomly divides twenty-four students into three groups of eight. All students study a passage of text for 30 minutes. Those in group 1 study with background sound at a constant volume in the background. Those in group 2 study with noise that changes volume periodically. Those in group 3 study with no sound at all. After studying, all students take a 10 point multiple choice test over the material. Their scores follow: Group test scores 1) constant sound 7 4 6 8 6 6 2 9 2) random sound 5 5 3 4 4 7 2 2 3) no sound 2 4 7 1 2 1 5 5 Calculate the Between-Subject One-Way ANOVA, make sure you include all the steps and show your calculations. Determine if you need a post hoc analysis, if so, complete the post-hoc analysis Interpret the results of your statistical…
- Square Peg Sydney Smith wrote in “On the Conduct of the Understanding” that it is impossible to fit a square peg in a round hole."Lawsuit Claims Nightclub Fired Waitresses for Being Too Short" was a headline of Fox5 News New York. According to the report, two women filed suit against their previous employer, a prominent New York nightclub, after the two aspiring petite actresses, 5ft. 3in and 5ft. 4in. respectively, were fired for being too short to meet the club's image requirement. The report also claims that these two waitresses "are both roughly the same size as the average American woman at 5ft. 3in. tall."Suppose that the height of a randomly selected adult woman is approximately normal with mean 66 inches and standard deviation 2.5 inches.Find the minimum height requirement that would exclude 95% of all women from being waitresses at this nightclub. Round your answer to one place after the decimal: inches."Lawsuit Claims Nightclub Fired Waitresses for Being Too Short" was a headline of Fox5 News New York. According to the report, two women filed suit against their previous employer, a prominent New York nightclub, after the two aspiring petite actresses, 5ft. 3in and 5ft. 4in. respectively, were fired for being too short to meet the club's image requirement. The report also claims that these two waitresses "are both roughly the same size as the average American woman at 5ft. 3in. tall." Suppose that the height of a randomly selected adult woman is approximately normal with mean 65 inches and standard deviation 2 inches. Find the minimum height requirement that would exclude 91% of all women from being waitresses at this nightclub. Round your answer to one place after the decimal: inches.
- A student lets a toy car roll four times down a ramp that is 1 m long. Each time the student covers the surface of the ramp with a different material. The student measures the time it takes the car to roll down the ramp and records the results in the table below. Material Time to complete Ramp (s) W 4 X 8 Y 7 Z 5 Which of these would be the best conclusion based on the data in the table?A radio beacon indicates that a certain dolphin is less than 1 mile from boat A and at least 11 2 miles from boat B. Boats A and B are 2 miles apart. Draw a simple map showing the locations of the boats and all the places where the dolphin might be located. Be sure to show the scale of your map. Explain how you determined all possible locations for the dolphin. Beckmann, Sybilla. Mathematics for Elementary Teachers with Activities, (p. 477). Pearson Education. Kindle Edition.A restaurant chain specializing in ice cream deserts contacted you to characterize the market for new franchise locations in Upstate NY. The firm is located in the Southwestern US, and has excellent experience there. However, they are opening a few test locations in Buffalo, Syracuse and Albany in the very near future, and have hired you, an Upstate NY statistical consultant, to collect and analyze the results. These restaurants follow a standard blueprint for design, operation, and location. They run a 2,150 sq foot facility in wealthier suburban areas, and usually locate in new plazas near other specialty restaurants that tend not to compete with them (Starbucks, Panera, Fridays, and similar restaurants.) Existing Southwestern locations take in an average of $82,000 a week in sales, with a highly reliable standard deviation of $5,200. Before deciding on their regional distribution strategy, the firm is opening three test restaurants, one in each city. They want you to examine the…
