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- Group problems: The Collision Problem: You have been hired by an insurance investigator to look into an accident involving a sailboat and a speedboat that occurred on New Year's day at 3:00 in the arternoon. Your job is to determine where (relative to the dock) the collision took place. After your investigation you ascertain the following facts about the case. The speedboat was carrying a toup of 20 people who were returning to shore after enjoying a 2-hour picnic on an island. The island is located 5.2 miles east and 12.6 miles north of the dock. The speedboat was heading from the island toward a point on the shore located 3.0 miles due west of the dock. Around the same time, the sailboat left the dock heading toward a buoy that is 5.0 miles west and 7.5 miles north of the dock. Neither boat made it to its destination since they collided in the water. You interviewed 5 witnesses and 2 lifeguards for 4 hours, in addition to studying nautical maps provided by the Navy. You plan to bill…10. Venn diagram 311 Staffing is always a concern for hospitals. Too much staff and money is wasted, if there is not enough staff, and there are shortages and people must be diverted to another hospital at a loss of earnings to the hospital. The needs can change by both season and the week of the month. Staffing has always been the same for each of the spring months. In an effort to determine if this is reasonable, the number of occupied beds for the first week of each of these months is being compared. Is there evidence that the number of occupied beds remains constant the first week of each of these months? March April May 190 147 143 182 137 150 186 135 146 179 143 151 170 154 143
- 21. Nemi Mehta is owning 50 Hectares of land near Junagadh, On his Farm, he cultivates Giloy, which is a medicinal plant in Ayurveda. The below-given table shows the sales of "Giloy Vati" that his team is preparing as per one Ayurveda script (book), and the amount they spend on the Advertisement of it. Nemi's problem is to analyze the effect of Advertisement on sales. Firstly, He wants to understand the presence of a linear relationship between the sales and 'amount spent in advertisement". He also wants to run a correlation and regression to know whether he should keep spending money on Advertisements or not. If sales figures are not affected by advertisement, he should not spend money an it. So, take the EXCEL output of the following and write the interpretation. • Appropriate type of Graph which can exhibit the linear relation b/w variables. Karl Pearson's Correlation Coefficient • Regresion Analysis Graph that shows predicted vis actual sales figures. Advertising (TV spots per…2. A liberal arts college has an endowment that pays engineering students a scholarship if they earn over a certain GPA in their junior year. There are three types of junior engineering students in the college: 40% are in chemical engineering, 25% are in electrical engineering and 35% are in mechanical engineering. It is known that both junior electrical and mechanical engineering students are twice as likely to earn the scholarship as junior chemical engineering students. If a chemical engineering student earns the scholarship they receive $2000 and if an electrical or mechanical engineering student earns the scholarship they receive $1000. Given that a junior engineering student earns a scholarship, find the expected amount that is paid to the student. Give answer to the fourth decimal.
- Problem: To study the effectiveness of possible treatments for insomnia, a sleep researcher conducted a study in which four participants were instructed to count sheep (the Sheep Condition), four were told to concentrate on their breathing (the Breathing Condition), and four were not given any special instructions. The average number of minutes taken for each participant to fall asleep over the next seven days were 14, 28, 27, and 31 minutes for the Sheep condition; 25, 22, 17, and 14 minutes for those in the Breathing condition; and 45, 33, 30, and 41 for the Control condition. Using the .05 significance level, did the different techniques have different effects? Step 1: Restate the question as a research hypothesis and a null hypothesis about the populations. Pop 1: Pop 2: Pop 3: Null hypothesis: Research hypothesis: Step 2: Determine the characteristics of the comparison distribution. What type of distribution is this What is the df for…10. The owner of a readymade garments store sells two types of shirts-Zee-shirts and Button-down shirts. He makes a profit of Rs.3 and Rs.12 per shirt on Zee-shirts and Button-down shirt, respectively. He has two tailors, A and B at his disposal to stitch the shirts. Tailors A and B can devote at the most 7 hours and 15 hours per day, respectively. Both these shirts are to be stitched by both the tailors. Tailors A and B spend 2 hours and 5 hours, respectively in stitching one Zee- shirts, and 4 hours and 3 hours, respectively in stitching a Button-down shirt. How many shirts of both types should be stitched in order to maximize daily profit? i) Formulate and solve this problem as an LP problem. ii) If the optimal solution is not integer-valued, use Gomory technique to derive the optimal integer solution.How would you figure these two problems out?
- problem #31. Determine whether there appears to be a Main Effect for IV-A 2. Determine whether there appears to be a Main Effect for IV-B|In a seafood plant, 75% of all fish fillets are processed by Line 1, while the remaining 25% are processed by Line 2. Inspectors give each pack of fillets a quality grade of A and B. In Line 1, 60% and 40% of fillets receive quality scores of A and B, respectively. In Problem 5 Line 2, 85% and 15% of fillets receive quality scores of A and B, respectively. Line 2 produces better quality fillets, but it is slower and more expensive to maintain than Line 1. Randomly select a fillet pack. (Hint: Draw a tree diagram.) a. What is the probability that the fillet pack will have grade A? b. Given that the fillet is selected from grade-A fillet, what is the probability that it comes from Line 2?