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Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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- A lecturer at WIN wanted to know if he can predict student’s quiz results by asking them tocomplete a simple survey. The result of the survey is found in the file: Assignment 2 sem22020data set 1. Quiz Results EQR Study Hrs Age Sex BBT MB MC AuHS LM 15 10 3 19 0 0 1 1 0 1 14 15 4 24 0 0 1 0 0 1 9 15 1 20 0 10 1 0 0 1 6 10 3 21 0 0 1 1 0 1 14 15 4 21 0 9 1 0 0 1 12 10 6 21 0 2 0 1 0 1 12 13 2 21 1 8 1 0 0 0 15 15 0 20 0 8 1 0 0 1 12 15 3 20 0 10 1 0 0 1 13 15 0.2 19 0 8 1 0 0 1 15 15 2 20 0 6 1 0 1 1 12 14 5 20 0 5 1 1 1 1 14 15 7 22 0 8 0 0 0 0 7 7 10 21 1 7 0 0 1 0 11 15 5 24 0 0 1 0 0 1 10 10 3 22 1 0 1 0 0 1 13 11 3 23 1 1 1 1 1 1 13 15 2 22 1 8 0 0 0 0 13 12 4 20 1 7 1 0 1 0 13 10 3 20 1 0 1 0 0 1 8 13 5 20 1 8 0 0 0 0 12 13 5 22 0 5 0 0 0 1 13 15 8 22 0 5 0 1 0 1 10 13 4 23 1 7 1 0 0 1 13 13 0.5 20 1 0 0 0 0 0 12 13 0.5 20 1 0 1 0 0 0 15 15 2 21 0 10 1 0 0 1 10 13 6 22 0 6 1 1 0 1 11 8 5 20 0 10 0 0 1 0 12 10 4 19 1…The emergency medical response (EMR) team inBrookville has instituted a quality improvement program and it makes extensive use of SPC charts. It wants to mon-itor the response times for emergency calls to make sure they stay around nine minutes on average. The EMRadministration staff has randomly timed five emergencycalls each month during a 12-month period and collectedthe following data. Develop a -chart in conjunction with an R-chart to moni-tor the response times and indicate if the process appears to be in control. If the EMR team cannot consistently meet itstarget, what kind of actions (i.e., improvements) might itneed to make to achieve its target? Month Response Times (mins)1 8.6 4.5 6.2 5.7 10.12 10.1 8.9 7.3 8.1 6.43 5.3 9.4 10.2 10.2 5.84 6.1 11.5 9.3 9.4 9.6A school psychologist notes that the average number of times that students are disrup- tive during class is 1.4 (u 1.4] times per day Following recent classroom policy changes the psychologist tests if the number of disrup- tions during class has changed. He records the following number of disruptions observed during a class day: 2, 4,3, 5, 4, 1, 1, and 4 1. Test the hypothesis that the number of complaints has increased or decreased using a .05 level of significance. State the value for the test stastistic and the decision to retain or rejct the null hypothesis. 2.compute effect size using estimated Cohen's D.
- According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? Test at the 5% level. (iv) Determine pˆiv Determine p^ Enter in decimal form to nearest ten-thousandth. Examples of correctly entered answers: 0.0001 0.0020 0.0500 0.3000 0.7115kindly assist, An epidemiologist who is working in Capricorn Department of Health investigated the occurrence ofCOVID-19 disease during winter season and found 275 COVID-19 cases out of 10,000 residents ofthe district. Based on these collected data, he would like to proof the claim that "during winter seasonthe proportion of patients with COVID-19 in Capricorn district is less than 3%". Using 5% level ofsignificance, write and test the above claim, following a)Generalised Likelihood Ratio (GLR) test Whenever necessary, you may use ?^21−0.05(1) = ?20.95(1) = 3.8416Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 55%of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 11 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the α=0.1 level of significance? Complete parts (a) through (g).
- In a recent survey of a fair stratified random sample of the population, a question appeared as: Italic text startDo you plan to vote in favour of the speed limit change? Yes/NoItalic text End Italic text startA scientist found the following number of responses per stratum:Italic text End Age 20-24 Age 25-29 Age 30-34 Yes 45 80 5 No 25 25 15 No response 25 10 55 What are two reasons a respondent might not answer this question? What are the strata in this sample? If a person is picked at random from the sample, what is the probability that they are age 25-29 or did not respond to this question?In 2019, the United States Department of Education defined a "credit hour" as one hour per week of instruction, and two additional hours of work outside of class. So, for example, a 3 credit hour class should aim to have about 6 hours of outside-of-class work per week.Earlier this semester, I asked students how many hours they spent on the course outside of class time. A couple students provided helpful, but non-numeric, responses, so I omitted them from the data set. Below is a dotplot and summary statistics from the other responses: a)suppose we want to view this data as a sample of students from sections of Math 104. Then: n= xˉ= s= b)List at least one concern you might have about using this sample to do inference on the number of study hours for all students taking Math 104. c)Putting aside the concerns you raised in (b) the Professor is wondering if the sample demonstrates that the amount of work he assigns in the course is reasonable under the federal guidelines for a…You work for an insurance company and are studying the relationship between types of crashes and the vehicles involved. As part of your study, you randomly select 3632 vehicle crashes and organize the resulting data as shown in the contigency table. At α=0.01, can you conclude that the type of crash depends on the type of vehicle? Complete parts (a) through (d). Vehicle Type of crash Car Pickup Sport utility Single-vehicle 876 393 342 Multiple-vehicle 1143 475 403 Question content area bottom Part 1 (a) Identify the claim and state the null and alternative hypotheses. H0: The type of crash and the type of vehicle are . Ha: The type of crash and the type of vehicle are . (a) Identify the claim and state the null and alternative hypotheses. H0: The type of crash and the type of vehicle are Ha: The type of crash and the type of vehicle are . The alternative hypothesis is the claim. Part 2 (b) Determine the degrees of…
- . A professor at the University of Iowa was interested in evaluating whether domestic dispute calls were more dangerous to officers than other types of calls. Collecting information on call for service and whether the call resulted in officer injury. The data is displayed in the contingency table below. Type of Call Domestic Dispute Not a Domestic Dispute Officer Injury No 128 675 Yes 245 786 Using the information to complete Table 1 and answer the questions below. Table 1. Chi-square Category Observed Expected O – E (O – E)2 (O – E)2/E No, Domestic 128 163.31 -35.31 1246..796 7.64 No, Not Domestic 675 639.69 35.31 1246.796 1.95 Yes, Domestic 245 209.69 35.31 11506.85 5.951.52 Yes, Not Domestic 786 821.31 -35.31 1246.796 Using an alpha level of 0.05, are domestic calls more dangerous for officers than other types of calls? Compute…Fifty-five customers of a large-chain grocery store are asked to fill out an in-store survey. One of the questions on the survey asks about the use of coupons (yes or no), while another question asks how much money the customer spent on groceries during that specific trip. A store management hypothesizes that people that use coupons actually spend more money, on average. H0__________________ Ha__________________ Test Statistics ______________You work for an insurance company and are studying the relationship between types of crashes and the vehicles involved. As part of your study, you randomly select 3589 vehicle crashes and organize the resulting data as shown in the contigency table. At α=0.10, can you conclude that the type of crash depends on the type of vehicle? Complete parts (a) through (d). Vehicle Type of crash Car Pickup Sport utility Single-vehicle 866 323 340 Multiple-vehicle 1145 487 428 Question content area bottom Part 1 (a) Identify the claim and state the null and alternative hypotheses. H0: The type of crash and the type of vehicle are ▼ independent dependent Ha: The type of crash and the type of vehicle are ▼ dependent independent The ▼ alternative hypothesis null hypothesis is the claim. H0: The type of crash and the type of vehicle are Ha: The type of crash and the type of vehicle are Determine…