A research company has designed three different systems to clean up oil spillages. The following table contains the results, measured by how much surface area (in square meters) is cleared in 1 hour. The data were found by testing each method in several trials. Is there any significant difference in the testing of effectiveness of the three systems? Use the 0.05 level of significance. Q2 System A Systen System C 244 246 255 249 242 241 252 253 250 245 238 246 248 251 244
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- Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.jhon attends five baseball games and conducts short qualitative interviews with a sample of 30 respondents. After collating and analysing this qualitative data he then develops a quantitative survey which is then circulated to members of five baseball clubs. This research design is best described as which method design?Arianna Estefan manages Salmon Falls Park, which has two flagship roller coasters, the Flyer and the Destroyer. When Arianna walks around the park during hours of operation, she notices that there are fewer people waiting in line for the Flyer than for the Destroyer. Since both roller coasters have similar capacities and similar run times, both roller coasters should have about the same number of riders. Based on the anecdotal evidence, Arianna claims that the population mean number of riders per hour on the Flyer is less than the population mean number of riders per hour on the Destroyer. Arianna reviews data collected in the past and assumes that the population standard deviation is 48.29 for the Flyer and 51.86 for the Destroyer. Arianna randomly selects hours during which the attendant of each ride counts the number of riders. The sampling occurs over the course of several weeks. The results are provided in the table shown below. Assuming the conditions needed for the hypothesis…
- Arianna Estefan manages Salmon Falls Park, which has two flagship roller coasters, the Flyer and the Destroyer. When Arianna walks around the park during hours of operation, she notices that there are fewer people waiting in line for the Flyer than for the Destroyer. Since both roller coasters have similar capacities and similar run times, both roller coasters should have about the same number of riders. Based on the anecdotal evidence, Arianna claims that the population mean number of riders per hour on the Flyer is less than the population mean number of riders per hour on the Destroyer. Arianna reviews data collected in the past and assumes that the population standard deviation is 48.29 for the Flyer and 51.86 for the Destroyer. Arianna randomly selects hours during which the attendant of each ride counts the number of riders. The sampling occurs over the course of several weeks. The results are provided in the table shown below. Assuming the conditions needed for the hypothesis…The researchers described using a "2 (depletion vs. no depletion) x2 (perseverance described as [hard] vs. easy) between-subjects design." Given this design, what were the distict cells or groups in the experiment? a. Non-depleted, depleted, perseverance described as easy, and perseverance described as hard b. Non-depleted with perseverance described as easy, non-depleted with perseverance described as hard, depleted with perseverance described as easy, and depleted with perseverance described as hard c. Depletion level and perseverance d. Non-depleted with perseverance described as easy and depleted with perseverance described as hardRoss White recently opened a landscaping division , that advises home owners and businesses on landscaping and lawn maintenance. The operations manager, Ms. Priya Johnson, is trying to determine the amount of fertilizer that should be applied to a particular lawn in a residential area in San Juan. Ms. Johnson’s analysis has determined that the lawn needs at least 60kg of Nitrogen, 24kg of Phosphorous compounds and 40kg of Potassium compounds for the current season. After checking nearby home and garden centres, Ms. Johnson has found that one of the suppliers is currently having a sale on packaged fertilizer. One type on sale called Xynis, is a 20-5-20 mixture, containing 20% Nitrogen, 5% phosphorous compounds and 20% potassium compounds. It sells at $4 for a 20kg bag. The other type called Yield-all is a 10-10-5 mixture (10% Nitrogen, 10% phosphorous compounds and 5% potassium compounds) selling for $5 for a 40kg bag. Ms. Johnson would like to know how many bags of each type she…
- A research company has designed three different systems to clean up oil spillages. The following table contains the results, measured by how much surface area (in square meters) is cleared in 1 hour. The data were found by testing each method in several trials. Is there any significant difference in the testing of effectiveness of the three systems? Use the 0.05 level of significance. System A System B System C 265 267 276 270 263 262 273 274 271 266 259 267 269 272 - 265 - -A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 60 national seniors reported using them.College students and surfers Rex Robinson and Sandy Hudson collected data on the self-reported number of days surfed in a month for 30 longboard surfers and 30 shortboard surfers. Complete parts a and b below.
- With the pandemic, cleaning and sanitation products have become increasingly more popular. Pfizer is trying to expand their sales and market share among producers of hand sanitizer and would like to purchase advertising space on a major TV network during prime time. CBS and NBC seem to be the most likely options but Pfizer would like to test and see if there is really a difference in the viewership (which would influence their decision). Over the past 20 weeks, CBS has averaged 5.7 million viewers on Monday nights at the 8 PM timeslot with a standard deviation of .65 million viewers. NBC on the other hand has averaged 6.2 million viewers with a standard deviation of 1.3 million viewers. ~ With an alpha of .05, construct a hypothesis test to see if there is a difference in viewership between the two networks. ~ Construct a 95% confidence interval for the difference. ~ Which network would you go with based on your tests?Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?In laparoscopic surgery, a video camera and several thin instruments are inserted into the patient's abdominal cavity. The surgeon uses the image from the video camera positioned inside the patient's body to perform the procedure by manipulating the instruments that have been insert ed. The Top Gun Laparoscopic Skills and Suturing Program was developed to help surgeons develop the skill set necessary for laparoscopic surgery. Because of the similarity in many of the skills involved in video games and laparoscopic surgery, it was hypothesized that surgeons with greater prior video game experience might acquire the skills required in laparoscopic surgery more easily. Thirty-three surgeons partici pated in the study and were classified into the three categories, never used, under three hours, and more than three hours depending on the daily number of hours they played video games at the height of their video game use. They also performed Top Gun drills and received a score based on the…