Announcements - JMATH1010 xA ALEKS- Antionette Thomas-Kn x www-awu.aleks.com/alekscgi/x/Isl.exe/1o u-igNsikr7j8P3jH-IJQhiJODya094wj2gIJSklb9agPtGFIZ2D9g02wRxc59ytRnaHrWRIghwKSqX794VA Knowledge Check Question 3 A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 26 ft long and 18 ft wide. Find the area of the garden. Use the value 3.14 for 1, and do not round your answer. Be sure to Include the correct unit in your answer. 26 ft 18 ft ft ft2 ft I Don't Know Subsit
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- A researcher is investigating a new screening tool that is intended to help prevent the onset of breast cancer in young women. Suppose he tests the new device on a group of 10 women. The following table shows the test result and true breast cancer status of each of the women. What can we say about the new device with regards to its accuracy? Patient Test Result True Cancer Status A + + B + + C + - D + - E - + F - + G + - H - + I - - J + -A serious side effect of allergy medicines is that they cause drowsiness, which can cause many problems for the individuals taking them. In recent years, a new non-drowsy allergy medicine has been developed. The company that created the medicine claims to be the first, once-a-day, non-drowsy allergy medicine (call it Medicine A). An independent research group wanted to check on this claim by comparing medicine A with another allergy medicine not advertised as non-drowsy (call it Medicine B). A random sample of 3,193 allergy sufferers was selected and each individual was randomly assigned to take either Medicine A or Medicine B. From the Medicine A group, 114 of 1,604 reported drowsiness and from the Medicine B group, 155 of 1,589 reported drowsiness. Calculate and label the two sample proportions separately. Next, calculate the difference between these sample proportions by subtracting (Medicine A – Medicine B). Complete these calculations by hand, label each of them, and…Two students want to determine whose paper airplane model can fly the farthest. To put their models to the test, they recruit five friends to participate in a study. Because the friends have varying throwing abilities, the students decide to have each friend throw each model of airplane. To determine which paper airplane each friend throws first, a coin is tossed. The data are displayed in the table, which shows how far each airplane flies to the nearest inch. A 3-column table with 5 rows. Column 1 is labeled Friend with entries 1, 2, 3, 4, 5. Column 2 is labeled Model A with entries 150, 143, 108, 145, 128. Column 3 is labeled Model B with entries 228, 123, 212, 137, 174. The mean of the differences is 40 inches, and the standard deviation of the differences is 53.57 inches. The conditions for inference are met. A 90% confidence interval for the mean difference (B – A) in flight distance is –11.08 inches to 91.08 inches. What is the correct interpretation of this interval? The…
- Pigmented makeup products like mascara and eye shadow may contain metal (e.g., nickel) allergens. Is a nickel allergy more likely to occur in women who report cosmetic dermatitis from using eye shadow or mascara? In a sample of 125 women with cosmetic dermatitis from using eye shadow, 11 were diagnosed with a nickel allergy. In a sample of 267 women with cosmetic dermatitis from using mascara, 25 were diagnosed with a nickel allergy. Use this information to complete parts a through c below. a. Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy. b. compute a 95% confidence interval for the proportion of women with cosmetic cermatitis from using mascara who have a nickel allergyPigmented makeup products like mascara and eye shadow may contain metal (e.g., nickel) allergens. Is a nickel allergy more likely to occur in women who report cosmetic dermatitis from using eye shadow or mascara? In a sample of 126 women with cosmetic dermatitis from using eye shadow, 11 were diagnosed with a nickel allergy. In a sample of 266 women with cosmetic dermatitis from using mascara, 26 were diagnosed with a nickel allergy. Use this information to complete parts a through c below. Question content area bottom Part 1 a. Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy. The 95% confidence interval for eye shadow is enter your response here,enter your response here.The Grand Canyon and the Colorado River are beautiful, rugged, and sometimes dangerous. Assume there is a physician at the park clinic in Grand Canyon Village. Suppose the physician has recorded (for a 5-year period) the number of visitor injuries at different landing points for commercial boat trips down the Colorado River in both the Upper and Lower Grand Canyon. Upper Canyon: Number of injuries per Landing Point BetweenNorth Canyon and Phantom Ranch 2 3 1 1 3 4 8 11 3 1 3 Lower Canyon: Number of injuries per Landing Point BetweenBright Angel and Lava Falls 10 1 1 0 8 9 2 11 3 0 1 10 2 1 The mean, median, and mode for Upper Canyon are 3.636, 3.0, and 3, respectively. The mean, median, and mode for Lower Canyon are 4.286, 2.0, and 1, respectively.Compare the mean, median, and mode found in Upper Canyon and Lower Canyon, respectively.
- With a terrain and make of concrete, experience from national highways suggests that there are, on the average, 2 potholes per mile after a certain amount of usage. We wish to know how likely it is to find no more than one pothole in a section of 5 miles of a highway. What is the average number of potholes in a section of 5 miles of a certain highway?Pigmented makeup products like mascara and eye shadow may contain metal (e.g., nickel) allergens. Is a nickel allergy more likely to occur in women who report cosmetic dermatitis from using eye shadow or mascara? In a sample of 123 women with cosmetic dermatitis from using eye shadow, 12 were diagnosed with a nickel allergy. In a sample of 261 women with cosmetic dermatitis from using mascara, 27 were diagnosed with a nickel allergy. Use this information to complete parts a through c below. a. Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy. b. Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using mascara who have a nickel allergy. c. Suppose you are informed that the true proportion with a nickel allergy for one of the two groups (eye shadow ormascara) is 0.15. Can you determine which group isreferenced?Data was collected for 40 randomly selected trees growing in the median strip of a busy freeway. The height of each tree (in inches) was recorded. Data was recorded to the nearest whole inch. The data is summarized in the histogram below. Based on this histogram, determing the minimum and maximum possible tree heights for the recorded data. Note: Each class contains its lower class boundary, but not its upper class boundary.Minimum tree height = inchesMaximum tree height = inches
- A car agency has offices in Phoenix, Denver and Chicago. The agency allows one- or two-way rentals so that cars rented in one location may end up in another. Statistics show that at the end of each week 70% of all rentals are twoway. As for the one-way rentals: from Phoenix, 40% go to Denver, and the rest to Chicago; from Denver, 60% go to Chicago and the rest to Phoenix; from Chicago, 40% go to Denver and the rest to Phoenix; (a) Express the situation as s Markov chain. (b) If the agency starts the week with 100 cars in each location, what will the distribution be like in two weeks (two-step transition probability matrix)? (c) If each location is designed to handle a maximum of 120 cars, would there be a long run space availability problem in any of the location?A group of 11 students was selected at random and asked for their high school GPA and their freshmen GPA in college the subsequent year. The results were: Student High School GPA Freshmen GPA 1 2.0 1.6 2 2.2 2.0 3 2.6 1.8 4 2.7 2.8 5 2.8 2.1 6 3.1 2.0 7 2.9 2.6 8 3.2 2.2 9 3.3 2.6 10 3.6 3.0 We would like to know whether there is a linear relationship between the high school GPA and the college freshmen GPA, and we would like to be able to predict the freshmen GPA, if we know that the high school GPA of another student is, say, 3.4. Provide the two requested scatter plots for this data (put college freshman GPA on the Y (vertical) axis!). a) What would be your approximate 95% prediction interval for question (g)? b) Show your scatterplot with the predicted trend line belowQUESTION A sales representative for Pinnacle Golf, a manufacturer of golf balls, is attempting to convince the pro shop manager of the Whistling Straits Golf Club to carry their recently introduced new line of golf balls that have a larger distance than any of the existing balls that the shop is currently selling. While the “extra” distance is a feature that should make the balls more attractive, the new balls are more expensive than the current balls. If the company’s claim about the new balls is found to be accurate, then the manager will carry the new line of balls. To test the new balls, the pro shop manager asked the club’s golf pro to hit 100 of the top-selling brand of balls and 100 of the new balls. The distance traveled by both the new and current balls was recorded. For this scenario, which of the following would be the proper set of hypotheses? Use the scenario from above question : The manager ran the following output, none of which might be correct. What should…