Comment on one aspect of the comparison of data from the two datasets that can be seen more easily on the histograms than on the boxplots.
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Comment on one aspect of the comparison of data from the two
datasets that can be seen more easily on the histograms than on
the boxplots.
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- A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. The balls are then placed in a bag and shaken. A golf pro then selects a ball and hits it using a driver. The distance the ball travels is then measured. The bag is shaken again, and the golf pro selects another ball and hits it with the same driver. He continues this procedure until all 80 of the golf balls are hit. Which of the following is a benefit of having replication in the experiment? A)Repeating the experiment will allow the company to compare the distances traveled by the new type of golf ball from both experiments. B)Having a large number of each type of golf ball will allow for a good comparison of the differences in distances traveled for the two types of balls.…This triangle is not drawn to scale corresponding to the data in the exercises. aThe United States Golf Association (USGA) tests all new brands of golf balls to assure that they meet USGA specifications. One of the tests is intended to measure the average distance traveled when the ball is hit by a machine called “Iron Byron”, a name inspired by the swing of the famous golfer Byron Nelson. The USGA proceeded to test with the Iron Byron machine over 250 golf balls of a new type called Ballistic, recording the distance travelled of each one. They then calculated a sample mean and the following 90% confidence interval [335.1; 337.1] (in meters). Based on USGA’s confidence interval they can conclude: HINT: Remember that we build confidence intervals around sample means - not individual observations.
- Has the principle of comparison been addressed in this experimental design? A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company's previous golf ball. To determine this, 40 new-style golf balls and 40 original- style golf balls are randomly selected from the company's production line on a specific day. The balls are then placed in bag and shaken. A golf pro then selects a ball and hits it. The distance the ball travels is then measured. The bag is shaken again, and the golf O Yes, because the balls are randomly selected, the distances of the new ball can be compared to the distances of the original ball. O Yes, because the original ball type is included in this experiment, the distances the different balls travel can be accurately compared. O No, because a placebo ball was not used, a comparison cannot be made to determine if the new ball travels significantly farther. pro selects another ball to hit. She…An ecologist hypothesizes a relationship between wing span of birds and the width of tree branches they use. The ecologist captured male birds, measured their wing span and other characteristics in millimeters, and then marked and released them. During the ensuing winter, the ecologist repeatedly observed the marked birds as they foraged for food on tree branches. He noted the branch diameter on each occasion, and calculated the average branch diameter for each bird in centimeters. The measurement data are below. What can the ecologist conclude with an a of 0.10? wing span branch diameter 79.3 80.1 80.7 81.5 79.5 80.7 81.1 80.5 80.7 1.02 1.04 1.21 1.15 1.21 1.56 1.39 1.31 1.39 a) What is the appropriate statistic? Select- Compute the statistic selected in a): b) Obtain/compute the appropriate values to make a decision about Ho- Critical Value - ; Test Statistic= Decision: -Select- c) Compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and/or…One operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting parts to be within 10.005 inch of the length specified by the automobile company. Data are collected from a sample of 50 steel parts and are shown in the following table. The measurement reported is the difference in inches between the actual length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first value, -0.003, represents a steel part that is 0.003 inch shorter than the specified length. Complete parts a through c Click the icon to view the data table. a. Construct a frequency distribution Difference in Length -0.005 but less than -0.003: -0.003but less than -0.001 -0.001but less than 0.001 0.001but less than 0.003 0.003but less than 0.005 Frequency Difference Between Actual and Specified Lengths 0.002 0 -0.003…
- Naini, Cobourne, McDonald and Donaldson (2008) reported that a specific ratio of height to face length of 1 to 8.5 tended to be rated as most attractive—almost exactly what Da Vinci’s idealized Vitruvian Man, predicts as “perfection” in the human form. For this study, we want to see if there is a relationship between a person’s height and head circumference. We get a random sample of 40 people and measure both their height and their head size to the nearest centimeter. What test should you use and why?The data sheet labeled rebound comes from a company which supplies a major automobile manufacturer with shock absorbers. A major quality characteristic of interest is the “force transferred through the shock absorber when the shank is forced out of the cylinder”. The exact technical definition of this test is not important for us. What we do need to understand is that the manufacturer only considers the shock to be an acceptable part if the force measurement is between 485 and 585.The shock manufacturer and the auto manufacturer are arguing over the following issue. Before the shock is finally shipped, it is filled with gas. After it is filled with gas it becomes very difficult to measure the force quantity we are interested in. The shock makers would like to make themeasurement before the shock is filled with gas. The auto maker is concerned that there may be a difference in the force before and after the shock is filled with gas and so would like to make the measurement after it is…A study conducted to see if teenagers drive at faster average speeds than the general population of drivers. The average speed of the driving population is 45mph. The null hypothesis is Ho=uaverage driving speed of teenagers = 45 mph. What is the alternative hypothesis?
- An ecologist hypothesizes that birds with longer wing spans use wider tree branches. The ecologist captured male birds, measured their wing span and other characteristics in millimeters, and then marked and released them. During the ensuing winter, the ecologist repeatedly observed the marked birds as they foraged for food on tree branches. He noted the branch diameter on each occasion, and calculated the average branch diameter for each bird in centimeters. The measurement data are below. What can the ecologist conclude with an α of 0.05 wing span branch diameter 79.380.180.781.579.580.781.180.580.7 1.561.531.391.041.391.021.211.311.21 A) What is the appropriate statistic? Then Compute the statistic B) Compute the appropriate test statistic(s) for H1: ρ > 0 critical value = test statistic= C) Effect SizeA researcher evaluates a new cholesterol medication by measuring cholesterol levels for a group of patients before they begin taking the medication and after they have been taking the medication for 8 weeks. A second researcher measures quality of life for a group of 40-year-old men who have been married for at least 5 years and a group of 40-year-old men who are still single. Explain why the first researcher is probably not concerned about the validity of the measurement, whereas the second researcher probably is. (Hint: What variable is each researcher measuring and how will it be measured?)In 2011 the U.S. Department of Transportation reported with 95% confidence that the average length of a motor vehicle trip in the United States was 9.72 miles with a margin or error of 0.22 miles.With 95% confidence the authors of the report are claiming that the true average length of a motor vehicle trip in the United States is between and miles.
